# Udemy - Become a Trigonometry & Precalculus Master

#### Category: Study

Posted on 2019-05-08, by phaelx.

Description

Date: April 2019

Author: Krista King

Size: 2.4 GB

Format: MP4

Author: Krista King

Size: 2.4 GB

Format: MP4

Download >> https://dropapk.com/ltddwby234p5

What you'll learn

*Angles and their measure, including degrees, DMS and radians

*Angles in circles, including oriented arcs, circular sectors, and linear and angular velocity

*Six circular functions, including sine, cosine, tangent, cosecant, secant, and cotangent

*The law of sines and the law of cosines, including Heron's formula

*The unit circle, including finding sine and cosine, and how to complete a triangle

*Graphing the trig functions, including sine and cosine graphs, and transformations

*Trig identities, including even-odd, sum-difference, half-angle, double-angle, product-to-sum, and sum-to-product identities

*Inverse trig functions, including their graphs

*Polar coordinates, including converting coordinates and equations

*Graphing polar curves, including circles, roses, cardioids, limacons, and lemniscates

*Parametric curves, including converting and sketching parametric curves

*Analytic geometry, including conic sections like circles, ellipses, parabolas, and hyperbolas

*Complex numbers, including polar forms and De Moivre's theorem

*Matrices, including solving systems, Gauss-Jordan elimination, and transformations and inverses

Course content

Getting started

Hi! START HERE: Course overview

Download the formula sheets

Angles and their measure

Hi! START HERE: Course overview

Download the formula sheets

Introduction to angles and their measure

RESOURCE: Quiz solutions for this section

Complementary and supplementary angles

Complementary and supplementary angles

Complementary and supplementary angles

Sketching angles in standard position

Sketching angles in standard position

Sketching angles in standard position

Quadrant of the angle

Quadrant of the angle

Quadrant of the angle

Converting between degrees and DMS

Converting between degrees and DMS

Converting between degrees and DMS

Coterminal angles

Coterminal angles

Coterminal angles, example 2

Coterminal angles

Converting between degrees and radians

Converting between degrees and radians

Converting between degrees and radians, example 2

Converting between degrees and radians

Functions of negative angles

Functions of negative angles

BONUS! Extra practice problems. :)

Angles in circles

Hi! START HERE: Course overview

Download the formula sheets

Introduction to angles and their measure

RESOURCE: Quiz solutions for this section

Complementary and supplementary angles

Complementary and supplementary angles

Complementary and supplementary angles

Sketching angles in standard position

Sketching angles in standard position

Sketching angles in standard position

Quadrant of the angle

Quadrant of the angle

Quadrant of the angle

Converting between degrees and DMS

Converting between degrees and DMS

Converting between degrees and DMS

Coterminal angles

Coterminal angles

Coterminal angles, example 2

Coterminal angles

Converting between degrees and radians

Converting between degrees and radians

Converting between degrees and radians, example 2

Converting between degrees and radians

Functions of negative angles

Functions of negative angles

BONUS! Extra practice problems. :)

Introduction to angles in circles

RESOURCE: Quiz solutions for this section

Oriented arc for a real number

Oriented arc for a real number

Oriented arc for a real number

Area of a circular sector

Area of a circular sector

Area of a circular sector

Linear and angular velocity

Linear and angular velocity

BONUS! Extra practice problems. :)

Six circular functions

Hi! START HERE: Course overview

Download the formula sheets

Introduction to angles and their measure

RESOURCE: Quiz solutions for this section

Complementary and supplementary angles

Complementary and supplementary angles

Complementary and supplementary angles

Sketching angles in standard position

Sketching angles in standard position

Sketching angles in standard position

Quadrant of the angle

Quadrant of the angle

Quadrant of the angle

Converting between degrees and DMS

Converting between degrees and DMS

Converting between degrees and DMS

Coterminal angles

Coterminal angles

Coterminal angles, example 2

Coterminal angles

Converting between degrees and radians

Converting between degrees and radians

Converting between degrees and radians, example 2

Converting between degrees and radians

Functions of negative angles

Functions of negative angles

BONUS! Extra practice problems. :)

Introduction to angles in circles

RESOURCE: Quiz solutions for this section

Oriented arc for a real number

Oriented arc for a real number

Oriented arc for a real number

Area of a circular sector

Area of a circular sector

Area of a circular sector

Linear and angular velocity

Linear and angular velocity

BONUS! Extra practice problems. :)

Introduction to six circular functions

RESOURCE: Quiz solutions for this section

Domain and range of the six circular functions

Domain and range of the six circular functions

Find the value or say where it's undefined

Find the value or say where it's undefined

Find the value or say where it's undefined

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions at the coordinate point

Find all six trig functions using reciprocal identities

Angle of depression and elevation

Angle of elevation

Angle of depression and elevation

Proving the trig equation

Proving the trig equation

Proving the trig equation with pythagorean identities

Proving the trig equation

BONUS! Extra practice problems. :)

The laws of sine and cosine

Hi! START HERE: Course overview

Download the formula sheets

Introduction to angles and their measure

RESOURCE: Quiz solutions for this section

Complementary and supplementary angles

Complementary and supplementary angles

Complementary and supplementary angles

Sketching angles in standard position

Sketching angles in standard position

Sketching angles in standard position

Quadrant of the angle

Quadrant of the angle

Quadrant of the angle

Converting between degrees and DMS

Converting between degrees and DMS

Converting between degrees and DMS

Coterminal angles

Coterminal angles

Coterminal angles, example 2

Coterminal angles

Converting between degrees and radians

Converting between degrees and radians

Converting between degrees and radians, example 2

Converting between degrees and radians

Functions of negative angles

Functions of negative angles

BONUS! Extra practice problems. :)

Introduction to angles in circles

RESOURCE: Quiz solutions for this section

Oriented arc for a real number

Oriented arc for a real number

Oriented arc for a real number

Area of a circular sector

Area of a circular sector

Area of a circular sector

Linear and angular velocity

Linear and angular velocity

BONUS! Extra practice problems. :)

Introduction to six circular functions

RESOURCE: Quiz solutions for this section

Domain and range of the six circular functions

Domain and range of the six circular functions

Find the value or say where it's undefined

Find the value or say where it's undefined

Find the value or say where it's undefined

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions at the coordinate point

Find all six trig functions using reciprocal identities

Angle of depression and elevation

Angle of elevation

Angle of depression and elevation

Proving the trig equation

Proving the trig equation

Proving the trig equation with pythagorean identities

Proving the trig equation

BONUS! Extra practice problems. :)

Introduction to the laws of sine and cosine

RESOURCE: Quiz solutions for this section

Law of sines

Law of sines

Law of sines

Law of cosines

Law of cosines

Law of cosines

Area of a triangle

Law of sines for area of a triangle

Heron's formula for area of a triangle

Area of a triangle

BONUS! Extra practice problems. :)

The unit circle

Hi! START HERE: Course overview

Download the formula sheets

Introduction to angles and their measure

RESOURCE: Quiz solutions for this section

Complementary and supplementary angles

Complementary and supplementary angles

Complementary and supplementary angles

Sketching angles in standard position

Sketching angles in standard position

Sketching angles in standard position

Quadrant of the angle

Quadrant of the angle

Quadrant of the angle

Converting between degrees and DMS

Converting between degrees and DMS

Converting between degrees and DMS

Coterminal angles

Coterminal angles

Coterminal angles, example 2

Coterminal angles

Converting between degrees and radians

Converting between degrees and radians

Converting between degrees and radians, example 2

Converting between degrees and radians

Functions of negative angles

Functions of negative angles

BONUS! Extra practice problems. :)

Introduction to angles in circles

RESOURCE: Quiz solutions for this section

Oriented arc for a real number

Oriented arc for a real number

Oriented arc for a real number

Area of a circular sector

Area of a circular sector

Area of a circular sector

Linear and angular velocity

Linear and angular velocity

BONUS! Extra practice problems. :)

Introduction to six circular functions

RESOURCE: Quiz solutions for this section

Domain and range of the six circular functions

Domain and range of the six circular functions

Find the value or say where it's undefined

Find the value or say where it's undefined

Find the value or say where it's undefined

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions at the coordinate point

Find all six trig functions using reciprocal identities

Angle of depression and elevation

Angle of elevation

Angle of depression and elevation

Proving the trig equation

Proving the trig equation

Proving the trig equation with pythagorean identities

Proving the trig equation

BONUS! Extra practice problems. :)

Introduction to the laws of sine and cosine

RESOURCE: Quiz solutions for this section

Law of sines

Law of sines

Law of sines

Law of cosines

Law of cosines

Law of cosines

Area of a triangle

Law of sines for area of a triangle

Heron's formula for area of a triangle

Area of a triangle

BONUS! Extra practice problems. :)

Introduction to the unit circle

RESOURCE: Quiz solutions for this section

The unit circle

The unit circle

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

All possible values for the angle theta

All possible values for the angle theta

All possible values for the angle theta, example 2

All possible values for the real number t

All possible values for the angle theta

Completing a right triangle

Completing a right triangle

Finding the side lengths of the triangle

Completing a right triangle

Reference angle theorem

Reference angle theorem

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

BONUS! Extra practice problems. :)

Graphing the trig functions

Hi! START HERE: Course overview

Download the formula sheets

Introduction to angles and their measure

RESOURCE: Quiz solutions for this section

Complementary and supplementary angles

Complementary and supplementary angles

Complementary and supplementary angles

Sketching angles in standard position

Sketching angles in standard position

Sketching angles in standard position

Quadrant of the angle

Quadrant of the angle

Quadrant of the angle

Converting between degrees and DMS

Converting between degrees and DMS

Converting between degrees and DMS

Coterminal angles

Coterminal angles

Coterminal angles, example 2

Coterminal angles

Converting between degrees and radians

Converting between degrees and radians

Converting between degrees and radians, example 2

Converting between degrees and radians

Functions of negative angles

Functions of negative angles

BONUS! Extra practice problems. :)

Introduction to angles in circles

RESOURCE: Quiz solutions for this section

Oriented arc for a real number

Oriented arc for a real number

Oriented arc for a real number

Area of a circular sector

Area of a circular sector

Area of a circular sector

Linear and angular velocity

Linear and angular velocity

BONUS! Extra practice problems. :)

Introduction to six circular functions

RESOURCE: Quiz solutions for this section

Domain and range of the six circular functions

Domain and range of the six circular functions

Find the value or say where it's undefined

Find the value or say where it's undefined

Find the value or say where it's undefined

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions at the coordinate point

Find all six trig functions using reciprocal identities

Angle of depression and elevation

Angle of elevation

Angle of depression and elevation

Proving the trig equation

Proving the trig equation

Proving the trig equation with pythagorean identities

Proving the trig equation

BONUS! Extra practice problems. :)

Introduction to the laws of sine and cosine

RESOURCE: Quiz solutions for this section

Law of sines

Law of sines

Law of sines

Law of cosines

Law of cosines

Law of cosines

Area of a triangle

Law of sines for area of a triangle

Heron's formula for area of a triangle

Area of a triangle

BONUS! Extra practice problems. :)

Introduction to the unit circle

RESOURCE: Quiz solutions for this section

The unit circle

The unit circle

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

All possible values for the angle theta

All possible values for the angle theta

All possible values for the angle theta, example 2

All possible values for the real number t

All possible values for the angle theta

Completing a right triangle

Completing a right triangle

Finding the side lengths of the triangle

Completing a right triangle

Reference angle theorem

Reference angle theorem

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

BONUS! Extra practice problems. :)

Introduction to graphing the trig functions

RESOURCE: Quiz solutions for this section

Period and amplitude

Period and amplitude

Period and amplitude

Sketching sine and cosine

Sketching sine and cosine

Sketching sine and cosine

Comparing sine and cosine graphs

Horizontal and vertical shifts

Horizontal and vertical shifts

Sequence of transformations

Sequence of transformations

Sequence of transformations

Transformations algebraically

Transformations algebraically

Sketching graphs of transformations

Sketching graphs of transformations

Graphing combinations of functions

Graphing combinations of functions

BONUS! Extra practice problems. :)

Trig identities

Hi! START HERE: Course overview

Download the formula sheets

Introduction to angles and their measure

RESOURCE: Quiz solutions for this section

Complementary and supplementary angles

Complementary and supplementary angles

Complementary and supplementary angles

Sketching angles in standard position

Sketching angles in standard position

Sketching angles in standard position

Quadrant of the angle

Quadrant of the angle

Quadrant of the angle

Converting between degrees and DMS

Converting between degrees and DMS

Converting between degrees and DMS

Coterminal angles

Coterminal angles

Coterminal angles, example 2

Coterminal angles

Converting between degrees and radians

Converting between degrees and radians

Converting between degrees and radians, example 2

Converting between degrees and radians

Functions of negative angles

Functions of negative angles

BONUS! Extra practice problems. :)

Introduction to angles in circles

RESOURCE: Quiz solutions for this section

Oriented arc for a real number

Oriented arc for a real number

Oriented arc for a real number

Area of a circular sector

Area of a circular sector

Area of a circular sector

Linear and angular velocity

Linear and angular velocity

BONUS! Extra practice problems. :)

Introduction to six circular functions

RESOURCE: Quiz solutions for this section

Domain and range of the six circular functions

Domain and range of the six circular functions

Find the value or say where it's undefined

Find the value or say where it's undefined

Find the value or say where it's undefined

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions at the coordinate point

Find all six trig functions using reciprocal identities

Angle of depression and elevation

Angle of elevation

Angle of depression and elevation

Proving the trig equation

Proving the trig equation

Proving the trig equation with pythagorean identities

Proving the trig equation

BONUS! Extra practice problems. :)

Introduction to the laws of sine and cosine

RESOURCE: Quiz solutions for this section

Law of sines

Law of sines

Law of sines

Law of cosines

Law of cosines

Law of cosines

Area of a triangle

Law of sines for area of a triangle

Heron's formula for area of a triangle

Area of a triangle

BONUS! Extra practice problems. :)

Introduction to the unit circle

RESOURCE: Quiz solutions for this section

The unit circle

The unit circle

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

All possible values for the angle theta

All possible values for the angle theta

All possible values for the angle theta, example 2

All possible values for the real number t

All possible values for the angle theta

Completing a right triangle

Completing a right triangle

Finding the side lengths of the triangle

Completing a right triangle

Reference angle theorem

Reference angle theorem

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

BONUS! Extra practice problems. :)

Introduction to graphing the trig functions

RESOURCE: Quiz solutions for this section

Period and amplitude

Period and amplitude

Period and amplitude

Sketching sine and cosine

Sketching sine and cosine

Sketching sine and cosine

Comparing sine and cosine graphs

Horizontal and vertical shifts

Horizontal and vertical shifts

Sequence of transformations

Sequence of transformations

Sequence of transformations

Transformations algebraically

Transformations algebraically

Sketching graphs of transformations

Sketching graphs of transformations

Graphing combinations of functions

Graphing combinations of functions

BONUS! Extra practice problems. :)

Introduction to trig identities

RESOURCE: Quiz solutions for this section

Even-odd identities

Even-odd identities

Even-odd identities

Sum-difference identities

Sum-difference identities

Sum-difference identities, example 2

Sum-difference identities, example 3

Sum-difference identities

Double-angle identities

Double-angle identities

Double-angle identities

Half-angle identities

Half-angle identities

Half-angle identities

Product-to-sum identities

Product-to-sum identities

Product-to-sum identities

Sum-to-product identities

Sum-to-product identities

Sum-to-product identities

Using trig identities to prove the equation

Using trig identities to prove the equation

Using trig identities to prove the equation

Listing the solutions in the interval

Listing the solutions in the interval

Listing the solutions in the interval, example 2

Listing the solutions in the interval

BONUS! Extra practice problems. :)

Inverse trig functions

Hi! START HERE: Course overview

Download the formula sheets

Introduction to angles and their measure

RESOURCE: Quiz solutions for this section

Complementary and supplementary angles

Complementary and supplementary angles

Complementary and supplementary angles

Sketching angles in standard position

Sketching angles in standard position

Sketching angles in standard position

Quadrant of the angle

Quadrant of the angle

Quadrant of the angle

Converting between degrees and DMS

Converting between degrees and DMS

Converting between degrees and DMS

Coterminal angles

Coterminal angles

Coterminal angles, example 2

Coterminal angles

Converting between degrees and radians

Converting between degrees and radians

Converting between degrees and radians, example 2

Converting between degrees and radians

Functions of negative angles

Functions of negative angles

BONUS! Extra practice problems. :)

Introduction to angles in circles

RESOURCE: Quiz solutions for this section

Oriented arc for a real number

Oriented arc for a real number

Oriented arc for a real number

Area of a circular sector

Area of a circular sector

Area of a circular sector

Linear and angular velocity

Linear and angular velocity

BONUS! Extra practice problems. :)

Introduction to six circular functions

RESOURCE: Quiz solutions for this section

Domain and range of the six circular functions

Domain and range of the six circular functions

Find the value or say where it's undefined

Find the value or say where it's undefined

Find the value or say where it's undefined

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions at the coordinate point

Find all six trig functions using reciprocal identities

Angle of depression and elevation

Angle of elevation

Angle of depression and elevation

Proving the trig equation

Proving the trig equation

Proving the trig equation with pythagorean identities

Proving the trig equation

BONUS! Extra practice problems. :)

Introduction to the laws of sine and cosine

RESOURCE: Quiz solutions for this section

Law of sines

Law of sines

Law of sines

Law of cosines

Law of cosines

Law of cosines

Area of a triangle

Law of sines for area of a triangle

Heron's formula for area of a triangle

Area of a triangle

BONUS! Extra practice problems. :)

Introduction to the unit circle

RESOURCE: Quiz solutions for this section

The unit circle

The unit circle

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

All possible values for the angle theta

All possible values for the angle theta

All possible values for the angle theta, example 2

All possible values for the real number t

All possible values for the angle theta

Completing a right triangle

Completing a right triangle

Finding the side lengths of the triangle

Completing a right triangle

Reference angle theorem

Reference angle theorem

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

BONUS! Extra practice problems. :)

Introduction to graphing the trig functions

RESOURCE: Quiz solutions for this section

Period and amplitude

Period and amplitude

Period and amplitude

Sketching sine and cosine

Sketching sine and cosine

Sketching sine and cosine

Comparing sine and cosine graphs

Horizontal and vertical shifts

Horizontal and vertical shifts

Sequence of transformations

Sequence of transformations

Sequence of transformations

Transformations algebraically

Transformations algebraically

Sketching graphs of transformations

Sketching graphs of transformations

Graphing combinations of functions

Graphing combinations of functions

BONUS! Extra practice problems. :)

Introduction to trig identities

RESOURCE: Quiz solutions for this section

Even-odd identities

Even-odd identities

Even-odd identities

Sum-difference identities

Sum-difference identities

Sum-difference identities, example 2

Sum-difference identities, example 3

Sum-difference identities

Double-angle identities

Double-angle identities

Double-angle identities

Half-angle identities

Half-angle identities

Half-angle identities

Product-to-sum identities

Product-to-sum identities

Product-to-sum identities

Sum-to-product identities

Sum-to-product identities

Sum-to-product identities

Using trig identities to prove the equation

Using trig identities to prove the equation

Using trig identities to prove the equation

Listing the solutions in the interval

Listing the solutions in the interval

Listing the solutions in the interval, example 2

Listing the solutions in the interval

BONUS! Extra practice problems. :)

Introduction to inverse trig functions

RESOURCE: Quiz solutions for this section

Inverse trig relations

Inverse trig relations

Graphs of inverse trig relations

Graphs of inverse trig relations

Finding the value of an inverse trig function

Finding the value of an inverse trig function

Finding the value of an inverse trig function

BONUS! Extra practice problems. :)

Final exam

Hi! START HERE: Course overview

Download the formula sheets

Introduction to angles and their measure

RESOURCE: Quiz solutions for this section

Complementary and supplementary angles

Complementary and supplementary angles

Complementary and supplementary angles

Sketching angles in standard position

Sketching angles in standard position

Sketching angles in standard position

Quadrant of the angle

Quadrant of the angle

Quadrant of the angle

Converting between degrees and DMS

Converting between degrees and DMS

Converting between degrees and DMS

Coterminal angles

Coterminal angles

Coterminal angles, example 2

Coterminal angles

Converting between degrees and radians

Converting between degrees and radians

Converting between degrees and radians, example 2

Converting between degrees and radians

Functions of negative angles

Functions of negative angles

BONUS! Extra practice problems. :)

Introduction to angles in circles

RESOURCE: Quiz solutions for this section

Oriented arc for a real number

Oriented arc for a real number

Oriented arc for a real number

Area of a circular sector

Area of a circular sector

Area of a circular sector

Linear and angular velocity

Linear and angular velocity

BONUS! Extra practice problems. :)

Introduction to six circular functions

RESOURCE: Quiz solutions for this section

Domain and range of the six circular functions

Domain and range of the six circular functions

Find the value or say where it's undefined

Find the value or say where it's undefined

Find the value or say where it's undefined

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions at the coordinate point

Find all six trig functions using reciprocal identities

Angle of depression and elevation

Angle of elevation

Angle of depression and elevation

Proving the trig equation

Proving the trig equation

Proving the trig equation with pythagorean identities

Proving the trig equation

BONUS! Extra practice problems. :)

Introduction to the laws of sine and cosine

RESOURCE: Quiz solutions for this section

Law of sines

Law of sines

Law of sines

Law of cosines

Law of cosines

Law of cosines

Area of a triangle

Law of sines for area of a triangle

Heron's formula for area of a triangle

Area of a triangle

BONUS! Extra practice problems. :)

Introduction to the unit circle

RESOURCE: Quiz solutions for this section

The unit circle

The unit circle

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

All possible values for the angle theta

All possible values for the angle theta

All possible values for the angle theta, example 2

All possible values for the real number t

All possible values for the angle theta

Completing a right triangle

Completing a right triangle

Finding the side lengths of the triangle

Completing a right triangle

Reference angle theorem

Reference angle theorem

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

BONUS! Extra practice problems. :)

Introduction to graphing the trig functions

RESOURCE: Quiz solutions for this section

Period and amplitude

Period and amplitude

Period and amplitude

Sketching sine and cosine

Sketching sine and cosine

Sketching sine and cosine

Comparing sine and cosine graphs

Horizontal and vertical shifts

Horizontal and vertical shifts

Sequence of transformations

Sequence of transformations

Sequence of transformations

Transformations algebraically

Transformations algebraically

Sketching graphs of transformations

Sketching graphs of transformations

Graphing combinations of functions

Graphing combinations of functions

BONUS! Extra practice problems. :)

Introduction to trig identities

RESOURCE: Quiz solutions for this section

Even-odd identities

Even-odd identities

Even-odd identities

Sum-difference identities

Sum-difference identities

Sum-difference identities, example 2

Sum-difference identities, example 3

Sum-difference identities

Double-angle identities

Double-angle identities

Double-angle identities

Half-angle identities

Half-angle identities

Half-angle identities

Product-to-sum identities

Product-to-sum identities

Product-to-sum identities

Sum-to-product identities

Sum-to-product identities

Sum-to-product identities

Using trig identities to prove the equation

Using trig identities to prove the equation

Using trig identities to prove the equation

Listing the solutions in the interval

Listing the solutions in the interval

Listing the solutions in the interval, example 2

Listing the solutions in the interval

BONUS! Extra practice problems. :)

Introduction to inverse trig functions

RESOURCE: Quiz solutions for this section

Inverse trig relations

Inverse trig relations

Graphs of inverse trig relations

Graphs of inverse trig relations

Finding the value of an inverse trig function

Finding the value of an inverse trig function

Finding the value of an inverse trig function

BONUS! Extra practice problems. :)

Trigonometry final exam

Polar coordinates

Hi! START HERE: Course overview

Download the formula sheets

Introduction to angles and their measure

RESOURCE: Quiz solutions for this section

Complementary and supplementary angles

Complementary and supplementary angles

Complementary and supplementary angles

Sketching angles in standard position

Sketching angles in standard position

Sketching angles in standard position

Quadrant of the angle

Quadrant of the angle

Quadrant of the angle

Converting between degrees and DMS

Converting between degrees and DMS

Converting between degrees and DMS

Coterminal angles

Coterminal angles

Coterminal angles, example 2

Coterminal angles

Converting between degrees and radians

Converting between degrees and radians

Converting between degrees and radians, example 2

Converting between degrees and radians

Functions of negative angles

Functions of negative angles

BONUS! Extra practice problems. :)

Introduction to angles in circles

RESOURCE: Quiz solutions for this section

Oriented arc for a real number

Oriented arc for a real number

Oriented arc for a real number

Area of a circular sector

Area of a circular sector

Area of a circular sector

Linear and angular velocity

Linear and angular velocity

BONUS! Extra practice problems. :)

Introduction to six circular functions

RESOURCE: Quiz solutions for this section

Domain and range of the six circular functions

Domain and range of the six circular functions

Find the value or say where it's undefined

Find the value or say where it's undefined

Find the value or say where it's undefined

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions at the coordinate point

Find all six trig functions using reciprocal identities

Angle of depression and elevation

Angle of elevation

Angle of depression and elevation

Proving the trig equation

Proving the trig equation

Proving the trig equation with pythagorean identities

Proving the trig equation

BONUS! Extra practice problems. :)

Introduction to the laws of sine and cosine

RESOURCE: Quiz solutions for this section

Law of sines

Law of sines

Law of sines

Law of cosines

Law of cosines

Law of cosines

Area of a triangle

Law of sines for area of a triangle

Heron's formula for area of a triangle

Area of a triangle

BONUS! Extra practice problems. :)

Introduction to the unit circle

RESOURCE: Quiz solutions for this section

The unit circle

The unit circle

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

All possible values for the angle theta

All possible values for the angle theta

All possible values for the angle theta, example 2

All possible values for the real number t

All possible values for the angle theta

Completing a right triangle

Completing a right triangle

Finding the side lengths of the triangle

Completing a right triangle

Reference angle theorem

Reference angle theorem

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

BONUS! Extra practice problems. :)

Introduction to graphing the trig functions

RESOURCE: Quiz solutions for this section

Period and amplitude

Period and amplitude

Period and amplitude

Sketching sine and cosine

Sketching sine and cosine

Sketching sine and cosine

Comparing sine and cosine graphs

Horizontal and vertical shifts

Horizontal and vertical shifts

Sequence of transformations

Sequence of transformations

Sequence of transformations

Transformations algebraically

Transformations algebraically

Sketching graphs of transformations

Sketching graphs of transformations

Graphing combinations of functions

Graphing combinations of functions

BONUS! Extra practice problems. :)

Introduction to trig identities

RESOURCE: Quiz solutions for this section

Even-odd identities

Even-odd identities

Even-odd identities

Sum-difference identities

Sum-difference identities

Sum-difference identities, example 2

Sum-difference identities, example 3

Sum-difference identities

Double-angle identities

Double-angle identities

Double-angle identities

Half-angle identities

Half-angle identities

Half-angle identities

Product-to-sum identities

Product-to-sum identities

Product-to-sum identities

Sum-to-product identities

Sum-to-product identities

Sum-to-product identities

Using trig identities to prove the equation

Using trig identities to prove the equation

Using trig identities to prove the equation

Listing the solutions in the interval

Listing the solutions in the interval

Listing the solutions in the interval, example 2

Listing the solutions in the interval

BONUS! Extra practice problems. :)

Introduction to inverse trig functions

RESOURCE: Quiz solutions for this section

Inverse trig relations

Inverse trig relations

Graphs of inverse trig relations

Graphs of inverse trig relations

Finding the value of an inverse trig function

Finding the value of an inverse trig function

Finding the value of an inverse trig function

BONUS! Extra practice problems. :)

Trigonometry final exam

Introduction to polar coordinates

RESOURCE: Quiz solutions for this section

Converting polar coordinates to rectangular

Converting polar coordinates to rectangular

Converting polar coordinates to rectangular

Converting rectangular coordinates to polar

Converting rectangular coordinates to polar

Converting rectangular coordinates to polar

Express the polar point multiple ways

Express the polar point multiple ways

Express the polar point multiple ways

Converting equations from polar to rectangular

Converting equations from polar to rectangular

Converting equations from polar to rectangular

Converting equations from rectangular to polar

Converting equations from rectangular to polar

Converting equations from rectangular to polar

Graphing polar curves

Hi! START HERE: Course overview

Download the formula sheets

Introduction to angles and their measure

RESOURCE: Quiz solutions for this section

Complementary and supplementary angles

Complementary and supplementary angles

Complementary and supplementary angles

Sketching angles in standard position

Sketching angles in standard position

Sketching angles in standard position

Quadrant of the angle

Quadrant of the angle

Quadrant of the angle

Converting between degrees and DMS

Converting between degrees and DMS

Converting between degrees and DMS

Coterminal angles

Coterminal angles

Coterminal angles, example 2

Coterminal angles

Converting between degrees and radians

Converting between degrees and radians

Converting between degrees and radians, example 2

Converting between degrees and radians

Functions of negative angles

Functions of negative angles

BONUS! Extra practice problems. :)

Introduction to angles in circles

RESOURCE: Quiz solutions for this section

Oriented arc for a real number

Oriented arc for a real number

Oriented arc for a real number

Area of a circular sector

Area of a circular sector

Area of a circular sector

Linear and angular velocity

Linear and angular velocity

BONUS! Extra practice problems. :)

Introduction to six circular functions

RESOURCE: Quiz solutions for this section

Domain and range of the six circular functions

Domain and range of the six circular functions

Find the value or say where it's undefined

Find the value or say where it's undefined

Find the value or say where it's undefined

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions at the coordinate point

Find all six trig functions using reciprocal identities

Angle of depression and elevation

Angle of elevation

Angle of depression and elevation

Proving the trig equation

Proving the trig equation

Proving the trig equation with pythagorean identities

Proving the trig equation

BONUS! Extra practice problems. :)

Introduction to the laws of sine and cosine

RESOURCE: Quiz solutions for this section

Law of sines

Law of sines

Law of sines

Law of cosines

Law of cosines

Law of cosines

Area of a triangle

Law of sines for area of a triangle

Heron's formula for area of a triangle

Area of a triangle

BONUS! Extra practice problems. :)

Introduction to the unit circle

RESOURCE: Quiz solutions for this section

The unit circle

The unit circle

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

All possible values for the angle theta

All possible values for the angle theta

All possible values for the angle theta, example 2

All possible values for the real number t

All possible values for the angle theta

Completing a right triangle

Completing a right triangle

Finding the side lengths of the triangle

Completing a right triangle

Reference angle theorem

Reference angle theorem

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

BONUS! Extra practice problems. :)

Introduction to graphing the trig functions

RESOURCE: Quiz solutions for this section

Period and amplitude

Period and amplitude

Period and amplitude

Sketching sine and cosine

Sketching sine and cosine

Sketching sine and cosine

Comparing sine and cosine graphs

Horizontal and vertical shifts

Horizontal and vertical shifts

Sequence of transformations

Sequence of transformations

Sequence of transformations

Transformations algebraically

Transformations algebraically

Sketching graphs of transformations

Sketching graphs of transformations

Graphing combinations of functions

Graphing combinations of functions

BONUS! Extra practice problems. :)

Introduction to trig identities

RESOURCE: Quiz solutions for this section

Even-odd identities

Even-odd identities

Even-odd identities

Sum-difference identities

Sum-difference identities

Sum-difference identities, example 2

Sum-difference identities, example 3

Sum-difference identities

Double-angle identities

Double-angle identities

Double-angle identities

Half-angle identities

Half-angle identities

Half-angle identities

Product-to-sum identities

Product-to-sum identities

Product-to-sum identities

Sum-to-product identities

Sum-to-product identities

Sum-to-product identities

Using trig identities to prove the equation

Using trig identities to prove the equation

Using trig identities to prove the equation

Listing the solutions in the interval

Listing the solutions in the interval

Listing the solutions in the interval, example 2

Listing the solutions in the interval

BONUS! Extra practice problems. :)

Introduction to inverse trig functions

RESOURCE: Quiz solutions for this section

Inverse trig relations

Inverse trig relations

Graphs of inverse trig relations

Graphs of inverse trig relations

Finding the value of an inverse trig function

Finding the value of an inverse trig function

Finding the value of an inverse trig function

BONUS! Extra practice problems. :)

Trigonometry final exam

Introduction to polar coordinates

RESOURCE: Quiz solutions for this section

Converting polar coordinates to rectangular

Converting polar coordinates to rectangular

Converting polar coordinates to rectangular

Converting rectangular coordinates to polar

Converting rectangular coordinates to polar

Converting rectangular coordinates to polar

Express the polar point multiple ways

Express the polar point multiple ways

Express the polar point multiple ways

Converting equations from polar to rectangular

Converting equations from polar to rectangular

Converting equations from polar to rectangular

Converting equations from rectangular to polar

Converting equations from rectangular to polar

Converting equations from rectangular to polar

Introduction to graphing polar curves

RESOURCE: Quiz solutions for this section

Graph the polar curve, circle

Graph the polar curve, circle

Graph the polar curve, circle

Graph the polar curve, rose

Graph the polar curve, rose

Graph the polar curve, rose

Graph the polar curve, cardioid

Graph the polar curve, cardioid

Graph the polar curve, cardioid

Graph the polar curve, limacon

Graph the polar curve, limacon

Graph the polar curve, limacon

Graph the polar curve, lemniscate

Graph the polar curve, lemniscate

Graph the polar curve, lemniscate

Intersection points of the polar curves

Intersection points of the polar curves

Intersection points of the polar curves

Graph the polar region in the xy-plane

Graph the polar region in the xy-plane

Graph the polar region in the xy-plane

Parametric curves

Hi! START HERE: Course overview

Download the formula sheets

Introduction to angles and their measure

RESOURCE: Quiz solutions for this section

Complementary and supplementary angles

Complementary and supplementary angles

Complementary and supplementary angles

Sketching angles in standard position

Sketching angles in standard position

Sketching angles in standard position

Quadrant of the angle

Quadrant of the angle

Quadrant of the angle

Converting between degrees and DMS

Converting between degrees and DMS

Converting between degrees and DMS

Coterminal angles

Coterminal angles

Coterminal angles, example 2

Coterminal angles

Converting between degrees and radians

Converting between degrees and radians

Converting between degrees and radians, example 2

Converting between degrees and radians

Functions of negative angles

Functions of negative angles

BONUS! Extra practice problems. :)

Introduction to angles in circles

RESOURCE: Quiz solutions for this section

Oriented arc for a real number

Oriented arc for a real number

Oriented arc for a real number

Area of a circular sector

Area of a circular sector

Area of a circular sector

Linear and angular velocity

Linear and angular velocity

BONUS! Extra practice problems. :)

Introduction to six circular functions

RESOURCE: Quiz solutions for this section

Domain and range of the six circular functions

Domain and range of the six circular functions

Find the value or say where it's undefined

Find the value or say where it's undefined

Find the value or say where it's undefined

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions at the coordinate point

Find all six trig functions using reciprocal identities

Angle of depression and elevation

Angle of elevation

Angle of depression and elevation

Proving the trig equation

Proving the trig equation

Proving the trig equation with pythagorean identities

Proving the trig equation

BONUS! Extra practice problems. :)

Introduction to the laws of sine and cosine

RESOURCE: Quiz solutions for this section

Law of sines

Law of sines

Law of sines

Law of cosines

Law of cosines

Law of cosines

Area of a triangle

Law of sines for area of a triangle

Heron's formula for area of a triangle

Area of a triangle

BONUS! Extra practice problems. :)

Introduction to the unit circle

RESOURCE: Quiz solutions for this section

The unit circle

The unit circle

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

All possible values for the angle theta

All possible values for the angle theta

All possible values for the angle theta, example 2

All possible values for the real number t

All possible values for the angle theta

Completing a right triangle

Completing a right triangle

Finding the side lengths of the triangle

Completing a right triangle

Reference angle theorem

Reference angle theorem

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

BONUS! Extra practice problems. :)

Introduction to graphing the trig functions

RESOURCE: Quiz solutions for this section

Period and amplitude

Period and amplitude

Period and amplitude

Sketching sine and cosine

Sketching sine and cosine

Sketching sine and cosine

Comparing sine and cosine graphs

Horizontal and vertical shifts

Horizontal and vertical shifts

Sequence of transformations

Sequence of transformations

Sequence of transformations

Transformations algebraically

Transformations algebraically

Sketching graphs of transformations

Sketching graphs of transformations

Graphing combinations of functions

Graphing combinations of functions

BONUS! Extra practice problems. :)

Introduction to trig identities

RESOURCE: Quiz solutions for this section

Even-odd identities

Even-odd identities

Even-odd identities

Sum-difference identities

Sum-difference identities

Sum-difference identities, example 2

Sum-difference identities, example 3

Sum-difference identities

Double-angle identities

Double-angle identities

Double-angle identities

Half-angle identities

Half-angle identities

Half-angle identities

Product-to-sum identities

Product-to-sum identities

Product-to-sum identities

Sum-to-product identities

Sum-to-product identities

Sum-to-product identities

Using trig identities to prove the equation

Using trig identities to prove the equation

Using trig identities to prove the equation

Listing the solutions in the interval

Listing the solutions in the interval

Listing the solutions in the interval, example 2

Listing the solutions in the interval

BONUS! Extra practice problems. :)

Introduction to inverse trig functions

RESOURCE: Quiz solutions for this section

Inverse trig relations

Inverse trig relations

Graphs of inverse trig relations

Graphs of inverse trig relations

Finding the value of an inverse trig function

Finding the value of an inverse trig function

Finding the value of an inverse trig function

BONUS! Extra practice problems. :)

Trigonometry final exam

Introduction to polar coordinates

RESOURCE: Quiz solutions for this section

Converting polar coordinates to rectangular

Converting polar coordinates to rectangular

Converting polar coordinates to rectangular

Converting rectangular coordinates to polar

Converting rectangular coordinates to polar

Converting rectangular coordinates to polar

Express the polar point multiple ways

Express the polar point multiple ways

Express the polar point multiple ways

Converting equations from polar to rectangular

Converting equations from polar to rectangular

Converting equations from polar to rectangular

Converting equations from rectangular to polar

Converting equations from rectangular to polar

Converting equations from rectangular to polar

Introduction to graphing polar curves

RESOURCE: Quiz solutions for this section

Graph the polar curve, circle

Graph the polar curve, circle

Graph the polar curve, circle

Graph the polar curve, rose

Graph the polar curve, rose

Graph the polar curve, rose

Graph the polar curve, cardioid

Graph the polar curve, cardioid

Graph the polar curve, cardioid

Graph the polar curve, limacon

Graph the polar curve, limacon

Graph the polar curve, limacon

Graph the polar curve, lemniscate

Graph the polar curve, lemniscate

Graph the polar curve, lemniscate

Intersection points of the polar curves

Intersection points of the polar curves

Intersection points of the polar curves

Graph the polar region in the xy-plane

Graph the polar region in the xy-plane

Graph the polar region in the xy-plane

Introduction to parametric curves

RESOURCE: Quiz solutions for this section

Sketching a parametric curve and its orientation

Sketching a parametric curve and its orientation

Sketching a parametric curve and its orientation

Write the equation as a parametric curve

Write the equation as a parametric curve

Write the equation as a parametric curve

Analytic geometry

Hi! START HERE: Course overview

Download the formula sheets

Introduction to angles and their measure

RESOURCE: Quiz solutions for this section

Complementary and supplementary angles

Complementary and supplementary angles

Complementary and supplementary angles

Sketching angles in standard position

Sketching angles in standard position

Sketching angles in standard position

Quadrant of the angle

Quadrant of the angle

Quadrant of the angle

Converting between degrees and DMS

Converting between degrees and DMS

Converting between degrees and DMS

Coterminal angles

Coterminal angles

Coterminal angles, example 2

Coterminal angles

Converting between degrees and radians

Converting between degrees and radians

Converting between degrees and radians, example 2

Converting between degrees and radians

Functions of negative angles

Functions of negative angles

BONUS! Extra practice problems. :)

Introduction to angles in circles

RESOURCE: Quiz solutions for this section

Oriented arc for a real number

Oriented arc for a real number

Oriented arc for a real number

Area of a circular sector

Area of a circular sector

Area of a circular sector

Linear and angular velocity

Linear and angular velocity

BONUS! Extra practice problems. :)

Introduction to six circular functions

RESOURCE: Quiz solutions for this section

Domain and range of the six circular functions

Domain and range of the six circular functions

Find the value or say where it's undefined

Find the value or say where it's undefined

Find the value or say where it's undefined

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions at the coordinate point

Find all six trig functions using reciprocal identities

Angle of depression and elevation

Angle of elevation

Angle of depression and elevation

Proving the trig equation

Proving the trig equation

Proving the trig equation with pythagorean identities

Proving the trig equation

BONUS! Extra practice problems. :)

Introduction to the laws of sine and cosine

RESOURCE: Quiz solutions for this section

Law of sines

Law of sines

Law of sines

Law of cosines

Law of cosines

Law of cosines

Area of a triangle

Law of sines for area of a triangle

Heron's formula for area of a triangle

Area of a triangle

BONUS! Extra practice problems. :)

Introduction to the unit circle

RESOURCE: Quiz solutions for this section

The unit circle

The unit circle

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

All possible values for the angle theta

All possible values for the angle theta

All possible values for the angle theta, example 2

All possible values for the real number t

All possible values for the angle theta

Completing a right triangle

Completing a right triangle

Finding the side lengths of the triangle

Completing a right triangle

Reference angle theorem

Reference angle theorem

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

BONUS! Extra practice problems. :)

Introduction to graphing the trig functions

RESOURCE: Quiz solutions for this section

Period and amplitude

Period and amplitude

Period and amplitude

Sketching sine and cosine

Sketching sine and cosine

Sketching sine and cosine

Comparing sine and cosine graphs

Horizontal and vertical shifts

Horizontal and vertical shifts

Sequence of transformations

Sequence of transformations

Sequence of transformations

Transformations algebraically

Transformations algebraically

Sketching graphs of transformations

Sketching graphs of transformations

Graphing combinations of functions

Graphing combinations of functions

BONUS! Extra practice problems. :)

Introduction to trig identities

RESOURCE: Quiz solutions for this section

Even-odd identities

Even-odd identities

Even-odd identities

Sum-difference identities

Sum-difference identities

Sum-difference identities, example 2

Sum-difference identities, example 3

Sum-difference identities

Double-angle identities

Double-angle identities

Double-angle identities

Half-angle identities

Half-angle identities

Half-angle identities

Product-to-sum identities

Product-to-sum identities

Product-to-sum identities

Sum-to-product identities

Sum-to-product identities

Sum-to-product identities

Using trig identities to prove the equation

Using trig identities to prove the equation

Using trig identities to prove the equation

Listing the solutions in the interval

Listing the solutions in the interval

Listing the solutions in the interval, example 2

Listing the solutions in the interval

BONUS! Extra practice problems. :)

Introduction to inverse trig functions

RESOURCE: Quiz solutions for this section

Inverse trig relations

Inverse trig relations

Graphs of inverse trig relations

Graphs of inverse trig relations

Finding the value of an inverse trig function

Finding the value of an inverse trig function

Finding the value of an inverse trig function

BONUS! Extra practice problems. :)

Trigonometry final exam

Introduction to polar coordinates

RESOURCE: Quiz solutions for this section

Converting polar coordinates to rectangular

Converting polar coordinates to rectangular

Converting polar coordinates to rectangular

Converting rectangular coordinates to polar

Converting rectangular coordinates to polar

Converting rectangular coordinates to polar

Express the polar point multiple ways

Express the polar point multiple ways

Express the polar point multiple ways

Converting equations from polar to rectangular

Converting equations from polar to rectangular

Converting equations from polar to rectangular

Converting equations from rectangular to polar

Converting equations from rectangular to polar

Converting equations from rectangular to polar

Introduction to graphing polar curves

RESOURCE: Quiz solutions for this section

Graph the polar curve, circle

Graph the polar curve, circle

Graph the polar curve, circle

Graph the polar curve, rose

Graph the polar curve, rose

Graph the polar curve, rose

Graph the polar curve, cardioid

Graph the polar curve, cardioid

Graph the polar curve, cardioid

Graph the polar curve, limacon

Graph the polar curve, limacon

Graph the polar curve, limacon

Graph the polar curve, lemniscate

Graph the polar curve, lemniscate

Graph the polar curve, lemniscate

Intersection points of the polar curves

Intersection points of the polar curves

Intersection points of the polar curves

Graph the polar region in the xy-plane

Graph the polar region in the xy-plane

Graph the polar region in the xy-plane

Introduction to parametric curves

RESOURCE: Quiz solutions for this section

Sketching a parametric curve and its orientation

Sketching a parametric curve and its orientation

Sketching a parametric curve and its orientation

Write the equation as a parametric curve

Write the equation as a parametric curve

Write the equation as a parametric curve

Introduction to analytic geometry

RESOURCE: Quiz solutions for this section

Graph of a single point or of no points

Set of points equally distant from two points

Set of points unequally distant from two points

Eccentricity and directrix of the conic section

Eccentricity and directrix of the conic section

Analytic geometry of the parabola

Vertex, axis, focus, directrix of a parabola

Vertex, axis, focus, directrix of a parabola

Equation of a parabolic conic section

Equation of a parabolic conic section

Polar equation of a parabolic conic section

Polar equation of a parabolic conic section

Analytic geometry of the ellipse

Vertex, axis, focus, directrix of an ellipse

Vertex, axis, focus, directrix of an ellipse

Equation of an elliptical conic section

Equation of an elliptical conic section

Polar equation of an elliptical conic section

Polar equation of an elliptical conic section

Analytic geometry of the hyperbola

Vertex, axis, focus, directrix of a hyperbola

Vertex, axis, focus, directrix of a hyperbola

Equation of a hyperbolic conic section

Equation of a hyperbolic conic section

Polar equation of a hyperbolic conic section

Polar equation of a hyperbolic conic section

Hyperbolic identities

Hyperbolic identities

Complex numbers

Hi! START HERE: Course overview

Download the formula sheets

Introduction to angles and their measure

RESOURCE: Quiz solutions for this section

Complementary and supplementary angles

Complementary and supplementary angles

Complementary and supplementary angles

Sketching angles in standard position

Sketching angles in standard position

Sketching angles in standard position

Quadrant of the angle

Quadrant of the angle

Quadrant of the angle

Converting between degrees and DMS

Converting between degrees and DMS

Converting between degrees and DMS

Coterminal angles

Coterminal angles

Coterminal angles, example 2

Coterminal angles

Converting between degrees and radians

Converting between degrees and radians

Converting between degrees and radians, example 2

Converting between degrees and radians

Functions of negative angles

Functions of negative angles

BONUS! Extra practice problems. :)

Introduction to angles in circles

RESOURCE: Quiz solutions for this section

Oriented arc for a real number

Oriented arc for a real number

Oriented arc for a real number

Area of a circular sector

Area of a circular sector

Area of a circular sector

Linear and angular velocity

Linear and angular velocity

BONUS! Extra practice problems. :)

Introduction to six circular functions

RESOURCE: Quiz solutions for this section

Domain and range of the six circular functions

Domain and range of the six circular functions

Find the value or say where it's undefined

Find the value or say where it's undefined

Find the value or say where it's undefined

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions at the coordinate point

Find all six trig functions using reciprocal identities

Angle of depression and elevation

Angle of elevation

Angle of depression and elevation

Proving the trig equation

Proving the trig equation

Proving the trig equation with pythagorean identities

Proving the trig equation

BONUS! Extra practice problems. :)

Introduction to the laws of sine and cosine

RESOURCE: Quiz solutions for this section

Law of sines

Law of sines

Law of sines

Law of cosines

Law of cosines

Law of cosines

Area of a triangle

Law of sines for area of a triangle

Heron's formula for area of a triangle

Area of a triangle

BONUS! Extra practice problems. :)

Introduction to the unit circle

RESOURCE: Quiz solutions for this section

The unit circle

The unit circle

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

All possible values for the angle theta

All possible values for the angle theta

All possible values for the angle theta, example 2

All possible values for the real number t

All possible values for the angle theta

Completing a right triangle

Completing a right triangle

Finding the side lengths of the triangle

Completing a right triangle

Reference angle theorem

Reference angle theorem

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

BONUS! Extra practice problems. :)

Introduction to graphing the trig functions

RESOURCE: Quiz solutions for this section

Period and amplitude

Period and amplitude

Period and amplitude

Sketching sine and cosine

Sketching sine and cosine

Sketching sine and cosine

Comparing sine and cosine graphs

Horizontal and vertical shifts

Horizontal and vertical shifts

Sequence of transformations

Sequence of transformations

Sequence of transformations

Transformations algebraically

Transformations algebraically

Sketching graphs of transformations

Sketching graphs of transformations

Graphing combinations of functions

Graphing combinations of functions

BONUS! Extra practice problems. :)

Introduction to trig identities

RESOURCE: Quiz solutions for this section

Even-odd identities

Even-odd identities

Even-odd identities

Sum-difference identities

Sum-difference identities

Sum-difference identities, example 2

Sum-difference identities, example 3

Sum-difference identities

Double-angle identities

Double-angle identities

Double-angle identities

Half-angle identities

Half-angle identities

Half-angle identities

Product-to-sum identities

Product-to-sum identities

Product-to-sum identities

Sum-to-product identities

Sum-to-product identities

Sum-to-product identities

Using trig identities to prove the equation

Using trig identities to prove the equation

Using trig identities to prove the equation

Listing the solutions in the interval

Listing the solutions in the interval

Listing the solutions in the interval, example 2

Listing the solutions in the interval

BONUS! Extra practice problems. :)

Introduction to inverse trig functions

RESOURCE: Quiz solutions for this section

Inverse trig relations

Inverse trig relations

Graphs of inverse trig relations

Graphs of inverse trig relations

Finding the value of an inverse trig function

Finding the value of an inverse trig function

Finding the value of an inverse trig function

BONUS! Extra practice problems. :)

Trigonometry final exam

Introduction to polar coordinates

RESOURCE: Quiz solutions for this section

Converting polar coordinates to rectangular

Converting polar coordinates to rectangular

Converting polar coordinates to rectangular

Converting rectangular coordinates to polar

Converting rectangular coordinates to polar

Converting rectangular coordinates to polar

Express the polar point multiple ways

Express the polar point multiple ways

Express the polar point multiple ways

Converting equations from polar to rectangular

Converting equations from polar to rectangular

Converting equations from polar to rectangular

Converting equations from rectangular to polar

Converting equations from rectangular to polar

Converting equations from rectangular to polar

Introduction to graphing polar curves

RESOURCE: Quiz solutions for this section

Graph the polar curve, circle

Graph the polar curve, circle

Graph the polar curve, circle

Graph the polar curve, rose

Graph the polar curve, rose

Graph the polar curve, rose

Graph the polar curve, cardioid

Graph the polar curve, cardioid

Graph the polar curve, cardioid

Graph the polar curve, limacon

Graph the polar curve, limacon

Graph the polar curve, limacon

Graph the polar curve, lemniscate

Graph the polar curve, lemniscate

Graph the polar curve, lemniscate

Intersection points of the polar curves

Intersection points of the polar curves

Intersection points of the polar curves

Graph the polar region in the xy-plane

Graph the polar region in the xy-plane

Graph the polar region in the xy-plane

Introduction to parametric curves

RESOURCE: Quiz solutions for this section

Sketching a parametric curve and its orientation

Sketching a parametric curve and its orientation

Sketching a parametric curve and its orientation

Write the equation as a parametric curve

Write the equation as a parametric curve

Write the equation as a parametric curve

Introduction to analytic geometry

RESOURCE: Quiz solutions for this section

Graph of a single point or of no points

Set of points equally distant from two points

Set of points unequally distant from two points

Eccentricity and directrix of the conic section

Eccentricity and directrix of the conic section

Analytic geometry of the parabola

Vertex, axis, focus, directrix of a parabola

Vertex, axis, focus, directrix of a parabola

Equation of a parabolic conic section

Equation of a parabolic conic section

Polar equation of a parabolic conic section

Polar equation of a parabolic conic section

Analytic geometry of the ellipse

Vertex, axis, focus, directrix of an ellipse

Vertex, axis, focus, directrix of an ellipse

Equation of an elliptical conic section

Equation of an elliptical conic section

Polar equation of an elliptical conic section

Polar equation of an elliptical conic section

Analytic geometry of the hyperbola

Vertex, axis, focus, directrix of a hyperbola

Vertex, axis, focus, directrix of a hyperbola

Equation of a hyperbolic conic section

Equation of a hyperbolic conic section

Polar equation of a hyperbolic conic section

Polar equation of a hyperbolic conic section

Hyperbolic identities

Hyperbolic identities

Introduction to complex numbers

RESOURCE: Quiz solutions for this section

Complex numbers

Complex numbers

Complex numbers

Complex number operations

Complex number operations

Complex number operations

Graphing complex numbers

Graphing complex numbers

Graphing complex numbers

Distances and midpoints

Distances and midpoints

Distances and midpoints

Complex numbers in polar form

Complex numbers in polar form

Complex numbers in polar form

Multiplying and dividing polar forms

Multiplying and dividing polar forms

Multiplying and dividing polar forms

Powers of complex numbers and De Moivre's theorem

Powers of complex numbers and De Moivre's theorem

Powers of complex numbers and De Moivre's theorem

Complex number equations

Complex number equations

Complex number equations

Roots of complex numbers

Roots of complex numbers

Roots of complex numbers

BONUS! Extra practice problems. :)

Matrices

Hi! START HERE: Course overview

Download the formula sheets

Introduction to angles and their measure

RESOURCE: Quiz solutions for this section

Complementary and supplementary angles

Complementary and supplementary angles

Complementary and supplementary angles

Sketching angles in standard position

Sketching angles in standard position

Sketching angles in standard position

Quadrant of the angle

Quadrant of the angle

Quadrant of the angle

Converting between degrees and DMS

Converting between degrees and DMS

Converting between degrees and DMS

Coterminal angles

Coterminal angles

Coterminal angles, example 2

Coterminal angles

Converting between degrees and radians

Converting between degrees and radians

Converting between degrees and radians, example 2

Converting between degrees and radians

Functions of negative angles

Functions of negative angles

BONUS! Extra practice problems. :)

Introduction to angles in circles

RESOURCE: Quiz solutions for this section

Oriented arc for a real number

Oriented arc for a real number

Oriented arc for a real number

Area of a circular sector

Area of a circular sector

Area of a circular sector

Linear and angular velocity

Linear and angular velocity

BONUS! Extra practice problems. :)

Introduction to six circular functions

RESOURCE: Quiz solutions for this section

Domain and range of the six circular functions

Domain and range of the six circular functions

Find the value or say where it's undefined

Find the value or say where it's undefined

Find the value or say where it's undefined

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions at the coordinate point

Find all six trig functions using reciprocal identities

Angle of depression and elevation

Angle of elevation

Angle of depression and elevation

Proving the trig equation

Proving the trig equation

Proving the trig equation with pythagorean identities

Proving the trig equation

BONUS! Extra practice problems. :)

Introduction to the laws of sine and cosine

RESOURCE: Quiz solutions for this section

Law of sines

Law of sines

Law of sines

Law of cosines

Law of cosines

Law of cosines

Area of a triangle

Law of sines for area of a triangle

Heron's formula for area of a triangle

Area of a triangle

BONUS! Extra practice problems. :)

Introduction to the unit circle

RESOURCE: Quiz solutions for this section

The unit circle

The unit circle

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

All possible values for the angle theta

All possible values for the angle theta

All possible values for the angle theta, example 2

All possible values for the real number t

All possible values for the angle theta

Completing a right triangle

Completing a right triangle

Finding the side lengths of the triangle

Completing a right triangle

Reference angle theorem

Reference angle theorem

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

BONUS! Extra practice problems. :)

Introduction to graphing the trig functions

RESOURCE: Quiz solutions for this section

Period and amplitude

Period and amplitude

Period and amplitude

Sketching sine and cosine

Sketching sine and cosine

Sketching sine and cosine

Comparing sine and cosine graphs

Horizontal and vertical shifts

Horizontal and vertical shifts

Sequence of transformations

Sequence of transformations

Sequence of transformations

Transformations algebraically

Transformations algebraically

Sketching graphs of transformations

Sketching graphs of transformations

Graphing combinations of functions

Graphing combinations of functions

BONUS! Extra practice problems. :)

Introduction to trig identities

RESOURCE: Quiz solutions for this section

Even-odd identities

Even-odd identities

Even-odd identities

Sum-difference identities

Sum-difference identities

Sum-difference identities, example 2

Sum-difference identities, example 3

Sum-difference identities

Double-angle identities

Double-angle identities

Double-angle identities

Half-angle identities

Half-angle identities

Half-angle identities

Product-to-sum identities

Product-to-sum identities

Product-to-sum identities

Sum-to-product identities

Sum-to-product identities

Sum-to-product identities

Using trig identities to prove the equation

Using trig identities to prove the equation

Using trig identities to prove the equation

Listing the solutions in the interval

Listing the solutions in the interval

Listing the solutions in the interval, example 2

Listing the solutions in the interval

BONUS! Extra practice problems. :)

Introduction to inverse trig functions

RESOURCE: Quiz solutions for this section

Inverse trig relations

Inverse trig relations

Graphs of inverse trig relations

Graphs of inverse trig relations

Finding the value of an inverse trig function

Finding the value of an inverse trig function

Finding the value of an inverse trig function

BONUS! Extra practice problems. :)

Trigonometry final exam

Introduction to polar coordinates

RESOURCE: Quiz solutions for this section

Converting polar coordinates to rectangular

Converting polar coordinates to rectangular

Converting polar coordinates to rectangular

Converting rectangular coordinates to polar

Converting rectangular coordinates to polar

Converting rectangular coordinates to polar

Express the polar point multiple ways

Express the polar point multiple ways

Express the polar point multiple ways

Converting equations from polar to rectangular

Converting equations from polar to rectangular

Converting equations from polar to rectangular

Converting equations from rectangular to polar

Converting equations from rectangular to polar

Converting equations from rectangular to polar

Introduction to graphing polar curves

RESOURCE: Quiz solutions for this section

Graph the polar curve, circle

Graph the polar curve, circle

Graph the polar curve, circle

Graph the polar curve, rose

Graph the polar curve, rose

Graph the polar curve, rose

Graph the polar curve, cardioid

Graph the polar curve, cardioid

Graph the polar curve, cardioid

Graph the polar curve, limacon

Graph the polar curve, limacon

Graph the polar curve, limacon

Graph the polar curve, lemniscate

Graph the polar curve, lemniscate

Graph the polar curve, lemniscate

Intersection points of the polar curves

Intersection points of the polar curves

Intersection points of the polar curves

Graph the polar region in the xy-plane

Graph the polar region in the xy-plane

Graph the polar region in the xy-plane

Introduction to parametric curves

RESOURCE: Quiz solutions for this section

Sketching a parametric curve and its orientation

Sketching a parametric curve and its orientation

Sketching a parametric curve and its orientation

Write the equation as a parametric curve

Write the equation as a parametric curve

Write the equation as a parametric curve

Introduction to analytic geometry

RESOURCE: Quiz solutions for this section

Graph of a single point or of no points

Set of points equally distant from two points

Set of points unequally distant from two points

Eccentricity and directrix of the conic section

Eccentricity and directrix of the conic section

Analytic geometry of the parabola

Vertex, axis, focus, directrix of a parabola

Vertex, axis, focus, directrix of a parabola

Equation of a parabolic conic section

Equation of a parabolic conic section

Polar equation of a parabolic conic section

Polar equation of a parabolic conic section

Analytic geometry of the ellipse

Vertex, axis, focus, directrix of an ellipse

Vertex, axis, focus, directrix of an ellipse

Equation of an elliptical conic section

Equation of an elliptical conic section

Polar equation of an elliptical conic section

Polar equation of an elliptical conic section

Analytic geometry of the hyperbola

Vertex, axis, focus, directrix of a hyperbola

Vertex, axis, focus, directrix of a hyperbola

Equation of a hyperbolic conic section

Equation of a hyperbolic conic section

Polar equation of a hyperbolic conic section

Polar equation of a hyperbolic conic section

Hyperbolic identities

Hyperbolic identities

Introduction to complex numbers

RESOURCE: Quiz solutions for this section

Complex numbers

Complex numbers

Complex numbers

Complex number operations

Complex number operations

Complex number operations

Graphing complex numbers

Graphing complex numbers

Graphing complex numbers

Distances and midpoints

Distances and midpoints

Distances and midpoints

Complex numbers in polar form

Complex numbers in polar form

Complex numbers in polar form

Multiplying and dividing polar forms

Multiplying and dividing polar forms

Multiplying and dividing polar forms

Powers of complex numbers and De Moivre's theorem

Powers of complex numbers and De Moivre's theorem

Powers of complex numbers and De Moivre's theorem

Complex number equations

Complex number equations

Complex number equations

Roots of complex numbers

Roots of complex numbers

Roots of complex numbers

BONUS! Extra practice problems. :)

Introduction to matrices

RESOURCE: Quiz solutions for this section

Matrix dimensions and entries

Matrix dimensions and entries

Matrix dimensions and entries

Representing systems with matrices

Representing systems with matrices

Representing systems with matrices

Simple row operations

Simple row operations

Simple row operations

Gauss-Jordan elimination and reduced row-echelon form

Gauss-Jordan elimination and reduced row-echelon form

Gauss-Jordan elimination and reduced row-echelon form

Matrix addition and subtraction

Matrix addition and subtraction

Matrix addition and subtraction

Scalar multiplication and zero matrices

Scalar multiplication and zero matrices

Scalar multiplication and zero matrices

Matrix multiplication

Matrix multiplication

Matrix multiplication

Identity matrices

Identity matrices

Identity matrices

Transformations

Transformations

Transformations

Matrix inverses, and invertible and singular matrices

Matrix inverses, and invertible and singular matrices

Matrix inverses, and invertible and singular matrices

Solving systems with inverse matrices

Solving systems with inverse matrices

Solving systems with inverse matrices

Solving systems with Cramer's rule

Solving systems with Cramer's rule

Solving systems with Cramer's rule

BONUS! Extra practice problems. :)

Final exam and wrap-up

Hi! START HERE: Course overview

Download the formula sheets

Introduction to angles and their measure

RESOURCE: Quiz solutions for this section

Complementary and supplementary angles

Complementary and supplementary angles

Complementary and supplementary angles

Sketching angles in standard position

Sketching angles in standard position

Sketching angles in standard position

Quadrant of the angle

Quadrant of the angle

Quadrant of the angle

Converting between degrees and DMS

Converting between degrees and DMS

Converting between degrees and DMS

Coterminal angles

Coterminal angles

Coterminal angles, example 2

Coterminal angles

Converting between degrees and radians

Converting between degrees and radians

Converting between degrees and radians, example 2

Converting between degrees and radians

Functions of negative angles

Functions of negative angles

BONUS! Extra practice problems. :)

Introduction to angles in circles

RESOURCE: Quiz solutions for this section

Oriented arc for a real number

Oriented arc for a real number

Oriented arc for a real number

Area of a circular sector

Area of a circular sector

Area of a circular sector

Linear and angular velocity

Linear and angular velocity

BONUS! Extra practice problems. :)

Introduction to six circular functions

RESOURCE: Quiz solutions for this section

Domain and range of the six circular functions

Domain and range of the six circular functions

Find the value or say where it's undefined

Find the value or say where it's undefined

Find the value or say where it's undefined

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions at the coordinate point

Find all six trig functions using reciprocal identities

Angle of depression and elevation

Angle of elevation

Angle of depression and elevation

Proving the trig equation

Proving the trig equation

Proving the trig equation with pythagorean identities

Proving the trig equation

BONUS! Extra practice problems. :)

Introduction to the laws of sine and cosine

RESOURCE: Quiz solutions for this section

Law of sines

Law of sines

Law of sines

Law of cosines

Law of cosines

Law of cosines

Area of a triangle

Law of sines for area of a triangle

Heron's formula for area of a triangle

Area of a triangle

BONUS! Extra practice problems. :)

Introduction to the unit circle

RESOURCE: Quiz solutions for this section

The unit circle

The unit circle

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

All possible values for the angle theta

All possible values for the angle theta

All possible values for the angle theta, example 2

All possible values for the real number t

All possible values for the angle theta

Completing a right triangle

Completing a right triangle

Finding the side lengths of the triangle

Completing a right triangle

Reference angle theorem

Reference angle theorem

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

BONUS! Extra practice problems. :)

Introduction to graphing the trig functions

RESOURCE: Quiz solutions for this section

Period and amplitude

Period and amplitude

Period and amplitude

Sketching sine and cosine

Sketching sine and cosine

Sketching sine and cosine

Comparing sine and cosine graphs

Horizontal and vertical shifts

Horizontal and vertical shifts

Sequence of transformations

Sequence of transformations

Sequence of transformations

Transformations algebraically

Transformations algebraically

Sketching graphs of transformations

Sketching graphs of transformations

Graphing combinations of functions

Graphing combinations of functions

BONUS! Extra practice problems. :)

Introduction to trig identities

RESOURCE: Quiz solutions for this section

Even-odd identities

Even-odd identities

Even-odd identities

Sum-difference identities

Sum-difference identities

Sum-difference identities, example 2

Sum-difference identities, example 3

Sum-difference identities

Double-angle identities

Double-angle identities

Double-angle identities

Half-angle identities

Half-angle identities

Half-angle identities

Product-to-sum identities

Product-to-sum identities

Product-to-sum identities

Sum-to-product identities

Sum-to-product identities

Sum-to-product identities

Using trig identities to prove the equation

Using trig identities to prove the equation

Using trig identities to prove the equation

Listing the solutions in the interval

Listing the solutions in the interval

Listing the solutions in the interval, example 2

Listing the solutions in the interval

BONUS! Extra practice problems. :)

Introduction to inverse trig functions

RESOURCE: Quiz solutions for this section

Inverse trig relations

Inverse trig relations

Graphs of inverse trig relations

Graphs of inverse trig relations

Finding the value of an inverse trig function

Finding the value of an inverse trig function

Finding the value of an inverse trig function

BONUS! Extra practice problems. :)

Trigonometry final exam

Introduction to polar coordinates

RESOURCE: Quiz solutions for this section

Converting polar coordinates to rectangular

Converting polar coordinates to rectangular

Converting polar coordinates to rectangular

Converting rectangular coordinates to polar

Converting rectangular coordinates to polar

Converting rectangular coordinates to polar

Express the polar point multiple ways

Express the polar point multiple ways

Express the polar point multiple ways

Converting equations from polar to rectangular

Converting equations from polar to rectangular

Converting equations from polar to rectangular

Converting equations from rectangular to polar

Converting equations from rectangular to polar

Converting equations from rectangular to polar

Introduction to graphing polar curves

RESOURCE: Quiz solutions for this section

Graph the polar curve, circle

Graph the polar curve, circle

Graph the polar curve, circle

Graph the polar curve, rose

Graph the polar curve, rose

Graph the polar curve, rose

Graph the polar curve, cardioid

Graph the polar curve, cardioid

Graph the polar curve, cardioid

Graph the polar curve, limacon

Graph the polar curve, limacon

Graph the polar curve, limacon

Graph the polar curve, lemniscate

Graph the polar curve, lemniscate

Graph the polar curve, lemniscate

Intersection points of the polar curves

Intersection points of the polar curves

Intersection points of the polar curves

Graph the polar region in the xy-plane

Graph the polar region in the xy-plane

Graph the polar region in the xy-plane

Introduction to parametric curves

RESOURCE: Quiz solutions for this section

Sketching a parametric curve and its orientation

Sketching a parametric curve and its orientation

Sketching a parametric curve and its orientation

Write the equation as a parametric curve

Write the equation as a parametric curve

Write the equation as a parametric curve

Introduction to analytic geometry

RESOURCE: Quiz solutions for this section

Graph of a single point or of no points

Set of points equally distant from two points

Set of points unequally distant from two points

Eccentricity and directrix of the conic section

Eccentricity and directrix of the conic section

Analytic geometry of the parabola

Vertex, axis, focus, directrix of a parabola

Vertex, axis, focus, directrix of a parabola

Equation of a parabolic conic section

Equation of a parabolic conic section

Polar equation of a parabolic conic section

Polar equation of a parabolic conic section

Analytic geometry of the ellipse

Vertex, axis, focus, directrix of an ellipse

Vertex, axis, focus, directrix of an ellipse

Equation of an elliptical conic section

Equation of an elliptical conic section

Polar equation of an elliptical conic section

Polar equation of an elliptical conic section

Analytic geometry of the hyperbola

Vertex, axis, focus, directrix of a hyperbola

Vertex, axis, focus, directrix of a hyperbola

Equation of a hyperbolic conic section

Equation of a hyperbolic conic section

Polar equation of a hyperbolic conic section

Polar equation of a hyperbolic conic section

Hyperbolic identities

Hyperbolic identities

Introduction to complex numbers

RESOURCE: Quiz solutions for this section

Complex numbers

Complex numbers

Complex numbers

Complex number operations

Complex number operations

Complex number operations

Graphing complex numbers

Graphing complex numbers

Graphing complex numbers

Distances and midpoints

Distances and midpoints

Distances and midpoints

Complex numbers in polar form

Complex numbers in polar form

Complex numbers in polar form

Multiplying and dividing polar forms

Multiplying and dividing polar forms

Multiplying and dividing polar forms

Powers of complex numbers and De Moivre's theorem

Powers of complex numbers and De Moivre's theorem

Powers of complex numbers and De Moivre's theorem

Complex number equations

Complex number equations

Complex number equations

Roots of complex numbers

Roots of complex numbers

Roots of complex numbers

BONUS! Extra practice problems. :)

Introduction to matrices

RESOURCE: Quiz solutions for this section

Matrix dimensions and entries

Matrix dimensions and entries

Matrix dimensions and entries

Representing systems with matrices

Representing systems with matrices

Representing systems with matrices

Simple row operations

Simple row operations

Simple row operations

Gauss-Jordan elimination and reduced row-echelon form

Gauss-Jordan elimination and reduced row-echelon form

Gauss-Jordan elimination and reduced row-echelon form

Matrix addition and subtraction

Matrix addition and subtraction

Matrix addition and subtraction

Scalar multiplication and zero matrices

Scalar multiplication and zero matrices

Scalar multiplication and zero matrices

Matrix multiplication

Matrix multiplication

Matrix multiplication

Identity matrices

Identity matrices

Identity matrices

Transformations

Transformations

Transformations

Matrix inverses, and invertible and singular matrices

Matrix inverses, and invertible and singular matrices

Matrix inverses, and invertible and singular matrices

Solving systems with inverse matrices

Solving systems with inverse matrices

Solving systems with inverse matrices

Solving systems with Cramer's rule

Solving systems with Cramer's rule

Solving systems with Cramer's rule

BONUS! Extra practice problems. :)

Precalculus final exam

Wrap-up

*Angles and their measure, including degrees, DMS and radians

*Angles in circles, including oriented arcs, circular sectors, and linear and angular velocity

*Six circular functions, including sine, cosine, tangent, cosecant, secant, and cotangent

*The law of sines and the law of cosines, including Heron's formula

*The unit circle, including finding sine and cosine, and how to complete a triangle

*Graphing the trig functions, including sine and cosine graphs, and transformations

*Trig identities, including even-odd, sum-difference, half-angle, double-angle, product-to-sum, and sum-to-product identities

*Inverse trig functions, including their graphs

*Polar coordinates, including converting coordinates and equations

*Graphing polar curves, including circles, roses, cardioids, limacons, and lemniscates

*Parametric curves, including converting and sketching parametric curves

*Analytic geometry, including conic sections like circles, ellipses, parabolas, and hyperbolas

*Complex numbers, including polar forms and De Moivre's theorem

*Matrices, including solving systems, Gauss-Jordan elimination, and transformations and inverses

Course content

Getting started

Hi! START HERE: Course overview

Download the formula sheets

Angles and their measure

Hi! START HERE: Course overview

Download the formula sheets

Introduction to angles and their measure

RESOURCE: Quiz solutions for this section

Complementary and supplementary angles

Complementary and supplementary angles

Complementary and supplementary angles

Sketching angles in standard position

Sketching angles in standard position

Sketching angles in standard position

Quadrant of the angle

Quadrant of the angle

Quadrant of the angle

Converting between degrees and DMS

Converting between degrees and DMS

Converting between degrees and DMS

Coterminal angles

Coterminal angles

Coterminal angles, example 2

Coterminal angles

Converting between degrees and radians

Converting between degrees and radians

Converting between degrees and radians, example 2

Converting between degrees and radians

Functions of negative angles

Functions of negative angles

BONUS! Extra practice problems. :)

Angles in circles

Hi! START HERE: Course overview

Download the formula sheets

Introduction to angles and their measure

RESOURCE: Quiz solutions for this section

Complementary and supplementary angles

Complementary and supplementary angles

Complementary and supplementary angles

Sketching angles in standard position

Sketching angles in standard position

Sketching angles in standard position

Quadrant of the angle

Quadrant of the angle

Quadrant of the angle

Converting between degrees and DMS

Converting between degrees and DMS

Converting between degrees and DMS

Coterminal angles

Coterminal angles

Coterminal angles, example 2

Coterminal angles

Converting between degrees and radians

Converting between degrees and radians

Converting between degrees and radians, example 2

Converting between degrees and radians

Functions of negative angles

Functions of negative angles

BONUS! Extra practice problems. :)

Introduction to angles in circles

RESOURCE: Quiz solutions for this section

Oriented arc for a real number

Oriented arc for a real number

Oriented arc for a real number

Area of a circular sector

Area of a circular sector

Area of a circular sector

Linear and angular velocity

Linear and angular velocity

BONUS! Extra practice problems. :)

Six circular functions

Hi! START HERE: Course overview

Download the formula sheets

Introduction to angles and their measure

RESOURCE: Quiz solutions for this section

Complementary and supplementary angles

Complementary and supplementary angles

Complementary and supplementary angles

Sketching angles in standard position

Sketching angles in standard position

Sketching angles in standard position

Quadrant of the angle

Quadrant of the angle

Quadrant of the angle

Converting between degrees and DMS

Converting between degrees and DMS

Converting between degrees and DMS

Coterminal angles

Coterminal angles

Coterminal angles, example 2

Coterminal angles

Converting between degrees and radians

Converting between degrees and radians

Converting between degrees and radians, example 2

Converting between degrees and radians

Functions of negative angles

Functions of negative angles

BONUS! Extra practice problems. :)

Introduction to angles in circles

RESOURCE: Quiz solutions for this section

Oriented arc for a real number

Oriented arc for a real number

Oriented arc for a real number

Area of a circular sector

Area of a circular sector

Area of a circular sector

Linear and angular velocity

Linear and angular velocity

BONUS! Extra practice problems. :)

Introduction to six circular functions

RESOURCE: Quiz solutions for this section

Domain and range of the six circular functions

Domain and range of the six circular functions

Find the value or say where it's undefined

Find the value or say where it's undefined

Find the value or say where it's undefined

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions at the coordinate point

Find all six trig functions using reciprocal identities

Angle of depression and elevation

Angle of elevation

Angle of depression and elevation

Proving the trig equation

Proving the trig equation

Proving the trig equation with pythagorean identities

Proving the trig equation

BONUS! Extra practice problems. :)

The laws of sine and cosine

Hi! START HERE: Course overview

Download the formula sheets

Introduction to angles and their measure

RESOURCE: Quiz solutions for this section

Complementary and supplementary angles

Complementary and supplementary angles

Complementary and supplementary angles

Sketching angles in standard position

Sketching angles in standard position

Sketching angles in standard position

Quadrant of the angle

Quadrant of the angle

Quadrant of the angle

Converting between degrees and DMS

Converting between degrees and DMS

Converting between degrees and DMS

Coterminal angles

Coterminal angles

Coterminal angles, example 2

Coterminal angles

Converting between degrees and radians

Converting between degrees and radians

Converting between degrees and radians, example 2

Converting between degrees and radians

Functions of negative angles

Functions of negative angles

BONUS! Extra practice problems. :)

Introduction to angles in circles

RESOURCE: Quiz solutions for this section

Oriented arc for a real number

Oriented arc for a real number

Oriented arc for a real number

Area of a circular sector

Area of a circular sector

Area of a circular sector

Linear and angular velocity

Linear and angular velocity

BONUS! Extra practice problems. :)

Introduction to six circular functions

RESOURCE: Quiz solutions for this section

Domain and range of the six circular functions

Domain and range of the six circular functions

Find the value or say where it's undefined

Find the value or say where it's undefined

Find the value or say where it's undefined

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions at the coordinate point

Find all six trig functions using reciprocal identities

Angle of depression and elevation

Angle of elevation

Angle of depression and elevation

Proving the trig equation

Proving the trig equation

Proving the trig equation with pythagorean identities

Proving the trig equation

BONUS! Extra practice problems. :)

Introduction to the laws of sine and cosine

RESOURCE: Quiz solutions for this section

Law of sines

Law of sines

Law of sines

Law of cosines

Law of cosines

Law of cosines

Area of a triangle

Law of sines for area of a triangle

Heron's formula for area of a triangle

Area of a triangle

BONUS! Extra practice problems. :)

The unit circle

Hi! START HERE: Course overview

Download the formula sheets

Introduction to angles and their measure

RESOURCE: Quiz solutions for this section

Complementary and supplementary angles

Complementary and supplementary angles

Complementary and supplementary angles

Sketching angles in standard position

Sketching angles in standard position

Sketching angles in standard position

Quadrant of the angle

Quadrant of the angle

Quadrant of the angle

Converting between degrees and DMS

Converting between degrees and DMS

Converting between degrees and DMS

Coterminal angles

Coterminal angles

Coterminal angles, example 2

Coterminal angles

Converting between degrees and radians

Converting between degrees and radians

Converting between degrees and radians, example 2

Converting between degrees and radians

Functions of negative angles

Functions of negative angles

BONUS! Extra practice problems. :)

Introduction to angles in circles

RESOURCE: Quiz solutions for this section

Oriented arc for a real number

Oriented arc for a real number

Oriented arc for a real number

Area of a circular sector

Area of a circular sector

Area of a circular sector

Linear and angular velocity

Linear and angular velocity

BONUS! Extra practice problems. :)

Introduction to six circular functions

RESOURCE: Quiz solutions for this section

Domain and range of the six circular functions

Domain and range of the six circular functions

Find the value or say where it's undefined

Find the value or say where it's undefined

Find the value or say where it's undefined

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions at the coordinate point

Find all six trig functions using reciprocal identities

Angle of depression and elevation

Angle of elevation

Angle of depression and elevation

Proving the trig equation

Proving the trig equation

Proving the trig equation with pythagorean identities

Proving the trig equation

BONUS! Extra practice problems. :)

Introduction to the laws of sine and cosine

RESOURCE: Quiz solutions for this section

Law of sines

Law of sines

Law of sines

Law of cosines

Law of cosines

Law of cosines

Area of a triangle

Law of sines for area of a triangle

Heron's formula for area of a triangle

Area of a triangle

BONUS! Extra practice problems. :)

Introduction to the unit circle

RESOURCE: Quiz solutions for this section

The unit circle

The unit circle

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

All possible values for the angle theta

All possible values for the angle theta

All possible values for the angle theta, example 2

All possible values for the real number t

All possible values for the angle theta

Completing a right triangle

Completing a right triangle

Finding the side lengths of the triangle

Completing a right triangle

Reference angle theorem

Reference angle theorem

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

BONUS! Extra practice problems. :)

Graphing the trig functions

Hi! START HERE: Course overview

Download the formula sheets

Introduction to angles and their measure

RESOURCE: Quiz solutions for this section

Complementary and supplementary angles

Complementary and supplementary angles

Complementary and supplementary angles

Sketching angles in standard position

Sketching angles in standard position

Sketching angles in standard position

Quadrant of the angle

Quadrant of the angle

Quadrant of the angle

Converting between degrees and DMS

Converting between degrees and DMS

Converting between degrees and DMS

Coterminal angles

Coterminal angles

Coterminal angles, example 2

Coterminal angles

Converting between degrees and radians

Converting between degrees and radians

Converting between degrees and radians, example 2

Converting between degrees and radians

Functions of negative angles

Functions of negative angles

BONUS! Extra practice problems. :)

Introduction to angles in circles

RESOURCE: Quiz solutions for this section

Oriented arc for a real number

Oriented arc for a real number

Oriented arc for a real number

Area of a circular sector

Area of a circular sector

Area of a circular sector

Linear and angular velocity

Linear and angular velocity

BONUS! Extra practice problems. :)

Introduction to six circular functions

RESOURCE: Quiz solutions for this section

Domain and range of the six circular functions

Domain and range of the six circular functions

Find the value or say where it's undefined

Find the value or say where it's undefined

Find the value or say where it's undefined

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions at the coordinate point

Find all six trig functions using reciprocal identities

Angle of depression and elevation

Angle of elevation

Angle of depression and elevation

Proving the trig equation

Proving the trig equation

Proving the trig equation with pythagorean identities

Proving the trig equation

BONUS! Extra practice problems. :)

Introduction to the laws of sine and cosine

RESOURCE: Quiz solutions for this section

Law of sines

Law of sines

Law of sines

Law of cosines

Law of cosines

Law of cosines

Area of a triangle

Law of sines for area of a triangle

Heron's formula for area of a triangle

Area of a triangle

BONUS! Extra practice problems. :)

Introduction to the unit circle

RESOURCE: Quiz solutions for this section

The unit circle

The unit circle

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

All possible values for the angle theta

All possible values for the angle theta

All possible values for the angle theta, example 2

All possible values for the real number t

All possible values for the angle theta

Completing a right triangle

Completing a right triangle

Finding the side lengths of the triangle

Completing a right triangle

Reference angle theorem

Reference angle theorem

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

BONUS! Extra practice problems. :)

Introduction to graphing the trig functions

RESOURCE: Quiz solutions for this section

Period and amplitude

Period and amplitude

Period and amplitude

Sketching sine and cosine

Sketching sine and cosine

Sketching sine and cosine

Comparing sine and cosine graphs

Horizontal and vertical shifts

Horizontal and vertical shifts

Sequence of transformations

Sequence of transformations

Sequence of transformations

Transformations algebraically

Transformations algebraically

Sketching graphs of transformations

Sketching graphs of transformations

Graphing combinations of functions

Graphing combinations of functions

BONUS! Extra practice problems. :)

Trig identities

Hi! START HERE: Course overview

Download the formula sheets

Introduction to angles and their measure

RESOURCE: Quiz solutions for this section

Complementary and supplementary angles

Complementary and supplementary angles

Complementary and supplementary angles

Sketching angles in standard position

Sketching angles in standard position

Sketching angles in standard position

Quadrant of the angle

Quadrant of the angle

Quadrant of the angle

Converting between degrees and DMS

Converting between degrees and DMS

Converting between degrees and DMS

Coterminal angles

Coterminal angles

Coterminal angles, example 2

Coterminal angles

Converting between degrees and radians

Converting between degrees and radians

Converting between degrees and radians, example 2

Converting between degrees and radians

Functions of negative angles

Functions of negative angles

BONUS! Extra practice problems. :)

Introduction to angles in circles

RESOURCE: Quiz solutions for this section

Oriented arc for a real number

Oriented arc for a real number

Oriented arc for a real number

Area of a circular sector

Area of a circular sector

Area of a circular sector

Linear and angular velocity

Linear and angular velocity

BONUS! Extra practice problems. :)

Introduction to six circular functions

RESOURCE: Quiz solutions for this section

Domain and range of the six circular functions

Domain and range of the six circular functions

Find the value or say where it's undefined

Find the value or say where it's undefined

Find the value or say where it's undefined

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions at the coordinate point

Find all six trig functions using reciprocal identities

Angle of depression and elevation

Angle of elevation

Angle of depression and elevation

Proving the trig equation

Proving the trig equation

Proving the trig equation with pythagorean identities

Proving the trig equation

BONUS! Extra practice problems. :)

Introduction to the laws of sine and cosine

RESOURCE: Quiz solutions for this section

Law of sines

Law of sines

Law of sines

Law of cosines

Law of cosines

Law of cosines

Area of a triangle

Law of sines for area of a triangle

Heron's formula for area of a triangle

Area of a triangle

BONUS! Extra practice problems. :)

Introduction to the unit circle

RESOURCE: Quiz solutions for this section

The unit circle

The unit circle

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

All possible values for the angle theta

All possible values for the angle theta

All possible values for the angle theta, example 2

All possible values for the real number t

All possible values for the angle theta

Completing a right triangle

Completing a right triangle

Finding the side lengths of the triangle

Completing a right triangle

Reference angle theorem

Reference angle theorem

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

BONUS! Extra practice problems. :)

Introduction to graphing the trig functions

RESOURCE: Quiz solutions for this section

Period and amplitude

Period and amplitude

Period and amplitude

Sketching sine and cosine

Sketching sine and cosine

Sketching sine and cosine

Comparing sine and cosine graphs

Horizontal and vertical shifts

Horizontal and vertical shifts

Sequence of transformations

Sequence of transformations

Sequence of transformations

Transformations algebraically

Transformations algebraically

Sketching graphs of transformations

Sketching graphs of transformations

Graphing combinations of functions

Graphing combinations of functions

BONUS! Extra practice problems. :)

Introduction to trig identities

RESOURCE: Quiz solutions for this section

Even-odd identities

Even-odd identities

Even-odd identities

Sum-difference identities

Sum-difference identities

Sum-difference identities, example 2

Sum-difference identities, example 3

Sum-difference identities

Double-angle identities

Double-angle identities

Double-angle identities

Half-angle identities

Half-angle identities

Half-angle identities

Product-to-sum identities

Product-to-sum identities

Product-to-sum identities

Sum-to-product identities

Sum-to-product identities

Sum-to-product identities

Using trig identities to prove the equation

Using trig identities to prove the equation

Using trig identities to prove the equation

Listing the solutions in the interval

Listing the solutions in the interval

Listing the solutions in the interval, example 2

Listing the solutions in the interval

BONUS! Extra practice problems. :)

Inverse trig functions

Hi! START HERE: Course overview

Download the formula sheets

Introduction to angles and their measure

RESOURCE: Quiz solutions for this section

Complementary and supplementary angles

Complementary and supplementary angles

Complementary and supplementary angles

Sketching angles in standard position

Sketching angles in standard position

Sketching angles in standard position

Quadrant of the angle

Quadrant of the angle

Quadrant of the angle

Converting between degrees and DMS

Converting between degrees and DMS

Converting between degrees and DMS

Coterminal angles

Coterminal angles

Coterminal angles, example 2

Coterminal angles

Converting between degrees and radians

Converting between degrees and radians

Converting between degrees and radians, example 2

Converting between degrees and radians

Functions of negative angles

Functions of negative angles

BONUS! Extra practice problems. :)

Introduction to angles in circles

RESOURCE: Quiz solutions for this section

Oriented arc for a real number

Oriented arc for a real number

Oriented arc for a real number

Area of a circular sector

Area of a circular sector

Area of a circular sector

Linear and angular velocity

Linear and angular velocity

BONUS! Extra practice problems. :)

Introduction to six circular functions

RESOURCE: Quiz solutions for this section

Domain and range of the six circular functions

Domain and range of the six circular functions

Find the value or say where it's undefined

Find the value or say where it's undefined

Find the value or say where it's undefined

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions at the coordinate point

Find all six trig functions using reciprocal identities

Angle of depression and elevation

Angle of elevation

Angle of depression and elevation

Proving the trig equation

Proving the trig equation

Proving the trig equation with pythagorean identities

Proving the trig equation

BONUS! Extra practice problems. :)

Introduction to the laws of sine and cosine

RESOURCE: Quiz solutions for this section

Law of sines

Law of sines

Law of sines

Law of cosines

Law of cosines

Law of cosines

Area of a triangle

Law of sines for area of a triangle

Heron's formula for area of a triangle

Area of a triangle

BONUS! Extra practice problems. :)

Introduction to the unit circle

RESOURCE: Quiz solutions for this section

The unit circle

The unit circle

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

All possible values for the angle theta

All possible values for the angle theta

All possible values for the angle theta, example 2

All possible values for the real number t

All possible values for the angle theta

Completing a right triangle

Completing a right triangle

Finding the side lengths of the triangle

Completing a right triangle

Reference angle theorem

Reference angle theorem

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

BONUS! Extra practice problems. :)

Introduction to graphing the trig functions

RESOURCE: Quiz solutions for this section

Period and amplitude

Period and amplitude

Period and amplitude

Sketching sine and cosine

Sketching sine and cosine

Sketching sine and cosine

Comparing sine and cosine graphs

Horizontal and vertical shifts

Horizontal and vertical shifts

Sequence of transformations

Sequence of transformations

Sequence of transformations

Transformations algebraically

Transformations algebraically

Sketching graphs of transformations

Sketching graphs of transformations

Graphing combinations of functions

Graphing combinations of functions

BONUS! Extra practice problems. :)

Introduction to trig identities

RESOURCE: Quiz solutions for this section

Even-odd identities

Even-odd identities

Even-odd identities

Sum-difference identities

Sum-difference identities

Sum-difference identities, example 2

Sum-difference identities, example 3

Sum-difference identities

Double-angle identities

Double-angle identities

Double-angle identities

Half-angle identities

Half-angle identities

Half-angle identities

Product-to-sum identities

Product-to-sum identities

Product-to-sum identities

Sum-to-product identities

Sum-to-product identities

Sum-to-product identities

Using trig identities to prove the equation

Using trig identities to prove the equation

Using trig identities to prove the equation

Listing the solutions in the interval

Listing the solutions in the interval

Listing the solutions in the interval, example 2

Listing the solutions in the interval

BONUS! Extra practice problems. :)

Introduction to inverse trig functions

RESOURCE: Quiz solutions for this section

Inverse trig relations

Inverse trig relations

Graphs of inverse trig relations

Graphs of inverse trig relations

Finding the value of an inverse trig function

Finding the value of an inverse trig function

Finding the value of an inverse trig function

BONUS! Extra practice problems. :)

Final exam

Hi! START HERE: Course overview

Download the formula sheets

Introduction to angles and their measure

RESOURCE: Quiz solutions for this section

Complementary and supplementary angles

Complementary and supplementary angles

Complementary and supplementary angles

Sketching angles in standard position

Sketching angles in standard position

Sketching angles in standard position

Quadrant of the angle

Quadrant of the angle

Quadrant of the angle

Converting between degrees and DMS

Converting between degrees and DMS

Converting between degrees and DMS

Coterminal angles

Coterminal angles

Coterminal angles, example 2

Coterminal angles

Converting between degrees and radians

Converting between degrees and radians

Converting between degrees and radians, example 2

Converting between degrees and radians

Functions of negative angles

Functions of negative angles

BONUS! Extra practice problems. :)

Introduction to angles in circles

RESOURCE: Quiz solutions for this section

Oriented arc for a real number

Oriented arc for a real number

Oriented arc for a real number

Area of a circular sector

Area of a circular sector

Area of a circular sector

Linear and angular velocity

Linear and angular velocity

BONUS! Extra practice problems. :)

Introduction to six circular functions

RESOURCE: Quiz solutions for this section

Domain and range of the six circular functions

Domain and range of the six circular functions

Find the value or say where it's undefined

Find the value or say where it's undefined

Find the value or say where it's undefined

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions at the coordinate point

Find all six trig functions using reciprocal identities

Angle of depression and elevation

Angle of elevation

Angle of depression and elevation

Proving the trig equation

Proving the trig equation

Proving the trig equation with pythagorean identities

Proving the trig equation

BONUS! Extra practice problems. :)

Introduction to the laws of sine and cosine

RESOURCE: Quiz solutions for this section

Law of sines

Law of sines

Law of sines

Law of cosines

Law of cosines

Law of cosines

Area of a triangle

Law of sines for area of a triangle

Heron's formula for area of a triangle

Area of a triangle

BONUS! Extra practice problems. :)

Introduction to the unit circle

RESOURCE: Quiz solutions for this section

The unit circle

The unit circle

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

All possible values for the angle theta

All possible values for the angle theta

All possible values for the angle theta, example 2

All possible values for the real number t

All possible values for the angle theta

Completing a right triangle

Completing a right triangle

Finding the side lengths of the triangle

Completing a right triangle

Reference angle theorem

Reference angle theorem

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

BONUS! Extra practice problems. :)

Introduction to graphing the trig functions

RESOURCE: Quiz solutions for this section

Period and amplitude

Period and amplitude

Period and amplitude

Sketching sine and cosine

Sketching sine and cosine

Sketching sine and cosine

Comparing sine and cosine graphs

Horizontal and vertical shifts

Horizontal and vertical shifts

Sequence of transformations

Sequence of transformations

Sequence of transformations

Transformations algebraically

Transformations algebraically

Sketching graphs of transformations

Sketching graphs of transformations

Graphing combinations of functions

Graphing combinations of functions

BONUS! Extra practice problems. :)

Introduction to trig identities

RESOURCE: Quiz solutions for this section

Even-odd identities

Even-odd identities

Even-odd identities

Sum-difference identities

Sum-difference identities

Sum-difference identities, example 2

Sum-difference identities, example 3

Sum-difference identities

Double-angle identities

Double-angle identities

Double-angle identities

Half-angle identities

Half-angle identities

Half-angle identities

Product-to-sum identities

Product-to-sum identities

Product-to-sum identities

Sum-to-product identities

Sum-to-product identities

Sum-to-product identities

Using trig identities to prove the equation

Using trig identities to prove the equation

Using trig identities to prove the equation

Listing the solutions in the interval

Listing the solutions in the interval

Listing the solutions in the interval, example 2

Listing the solutions in the interval

BONUS! Extra practice problems. :)

Introduction to inverse trig functions

RESOURCE: Quiz solutions for this section

Inverse trig relations

Inverse trig relations

Graphs of inverse trig relations

Graphs of inverse trig relations

Finding the value of an inverse trig function

Finding the value of an inverse trig function

Finding the value of an inverse trig function

BONUS! Extra practice problems. :)

Trigonometry final exam

Polar coordinates

Hi! START HERE: Course overview

Download the formula sheets

Introduction to angles and their measure

RESOURCE: Quiz solutions for this section

Complementary and supplementary angles

Complementary and supplementary angles

Complementary and supplementary angles

Sketching angles in standard position

Sketching angles in standard position

Sketching angles in standard position

Quadrant of the angle

Quadrant of the angle

Quadrant of the angle

Converting between degrees and DMS

Converting between degrees and DMS

Converting between degrees and DMS

Coterminal angles

Coterminal angles

Coterminal angles, example 2

Coterminal angles

Converting between degrees and radians

Converting between degrees and radians

Converting between degrees and radians, example 2

Converting between degrees and radians

Functions of negative angles

Functions of negative angles

BONUS! Extra practice problems. :)

Introduction to angles in circles

RESOURCE: Quiz solutions for this section

Oriented arc for a real number

Oriented arc for a real number

Oriented arc for a real number

Area of a circular sector

Area of a circular sector

Area of a circular sector

Linear and angular velocity

Linear and angular velocity

BONUS! Extra practice problems. :)

Introduction to six circular functions

RESOURCE: Quiz solutions for this section

Domain and range of the six circular functions

Domain and range of the six circular functions

Find the value or say where it's undefined

Find the value or say where it's undefined

Find the value or say where it's undefined

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions at the coordinate point

Find all six trig functions using reciprocal identities

Angle of depression and elevation

Angle of elevation

Angle of depression and elevation

Proving the trig equation

Proving the trig equation

Proving the trig equation with pythagorean identities

Proving the trig equation

BONUS! Extra practice problems. :)

Introduction to the laws of sine and cosine

RESOURCE: Quiz solutions for this section

Law of sines

Law of sines

Law of sines

Law of cosines

Law of cosines

Law of cosines

Area of a triangle

Law of sines for area of a triangle

Heron's formula for area of a triangle

Area of a triangle

BONUS! Extra practice problems. :)

Introduction to the unit circle

RESOURCE: Quiz solutions for this section

The unit circle

The unit circle

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

All possible values for the angle theta

All possible values for the angle theta

All possible values for the angle theta, example 2

All possible values for the real number t

All possible values for the angle theta

Completing a right triangle

Completing a right triangle

Finding the side lengths of the triangle

Completing a right triangle

Reference angle theorem

Reference angle theorem

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

BONUS! Extra practice problems. :)

Introduction to graphing the trig functions

RESOURCE: Quiz solutions for this section

Period and amplitude

Period and amplitude

Period and amplitude

Sketching sine and cosine

Sketching sine and cosine

Sketching sine and cosine

Comparing sine and cosine graphs

Horizontal and vertical shifts

Horizontal and vertical shifts

Sequence of transformations

Sequence of transformations

Sequence of transformations

Transformations algebraically

Transformations algebraically

Sketching graphs of transformations

Sketching graphs of transformations

Graphing combinations of functions

Graphing combinations of functions

BONUS! Extra practice problems. :)

Introduction to trig identities

RESOURCE: Quiz solutions for this section

Even-odd identities

Even-odd identities

Even-odd identities

Sum-difference identities

Sum-difference identities

Sum-difference identities, example 2

Sum-difference identities, example 3

Sum-difference identities

Double-angle identities

Double-angle identities

Double-angle identities

Half-angle identities

Half-angle identities

Half-angle identities

Product-to-sum identities

Product-to-sum identities

Product-to-sum identities

Sum-to-product identities

Sum-to-product identities

Sum-to-product identities

Using trig identities to prove the equation

Using trig identities to prove the equation

Using trig identities to prove the equation

Listing the solutions in the interval

Listing the solutions in the interval

Listing the solutions in the interval, example 2

Listing the solutions in the interval

BONUS! Extra practice problems. :)

Introduction to inverse trig functions

RESOURCE: Quiz solutions for this section

Inverse trig relations

Inverse trig relations

Graphs of inverse trig relations

Graphs of inverse trig relations

Finding the value of an inverse trig function

Finding the value of an inverse trig function

Finding the value of an inverse trig function

BONUS! Extra practice problems. :)

Trigonometry final exam

Introduction to polar coordinates

RESOURCE: Quiz solutions for this section

Converting polar coordinates to rectangular

Converting polar coordinates to rectangular

Converting polar coordinates to rectangular

Converting rectangular coordinates to polar

Converting rectangular coordinates to polar

Converting rectangular coordinates to polar

Express the polar point multiple ways

Express the polar point multiple ways

Express the polar point multiple ways

Converting equations from polar to rectangular

Converting equations from polar to rectangular

Converting equations from polar to rectangular

Converting equations from rectangular to polar

Converting equations from rectangular to polar

Converting equations from rectangular to polar

Graphing polar curves

Hi! START HERE: Course overview

Download the formula sheets

Introduction to angles and their measure

RESOURCE: Quiz solutions for this section

Complementary and supplementary angles

Complementary and supplementary angles

Complementary and supplementary angles

Sketching angles in standard position

Sketching angles in standard position

Sketching angles in standard position

Quadrant of the angle

Quadrant of the angle

Quadrant of the angle

Converting between degrees and DMS

Converting between degrees and DMS

Converting between degrees and DMS

Coterminal angles

Coterminal angles

Coterminal angles, example 2

Coterminal angles

Converting between degrees and radians

Converting between degrees and radians

Converting between degrees and radians, example 2

Converting between degrees and radians

Functions of negative angles

Functions of negative angles

BONUS! Extra practice problems. :)

Introduction to angles in circles

RESOURCE: Quiz solutions for this section

Oriented arc for a real number

Oriented arc for a real number

Oriented arc for a real number

Area of a circular sector

Area of a circular sector

Area of a circular sector

Linear and angular velocity

Linear and angular velocity

BONUS! Extra practice problems. :)

Introduction to six circular functions

RESOURCE: Quiz solutions for this section

Domain and range of the six circular functions

Domain and range of the six circular functions

Find the value or say where it's undefined

Find the value or say where it's undefined

Find the value or say where it's undefined

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions at the coordinate point

Find all six trig functions using reciprocal identities

Angle of depression and elevation

Angle of elevation

Angle of depression and elevation

Proving the trig equation

Proving the trig equation

Proving the trig equation with pythagorean identities

Proving the trig equation

BONUS! Extra practice problems. :)

Introduction to the laws of sine and cosine

RESOURCE: Quiz solutions for this section

Law of sines

Law of sines

Law of sines

Law of cosines

Law of cosines

Law of cosines

Area of a triangle

Law of sines for area of a triangle

Heron's formula for area of a triangle

Area of a triangle

BONUS! Extra practice problems. :)

Introduction to the unit circle

RESOURCE: Quiz solutions for this section

The unit circle

The unit circle

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

All possible values for the angle theta

All possible values for the angle theta

All possible values for the angle theta, example 2

All possible values for the real number t

All possible values for the angle theta

Completing a right triangle

Completing a right triangle

Finding the side lengths of the triangle

Completing a right triangle

Reference angle theorem

Reference angle theorem

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

BONUS! Extra practice problems. :)

Introduction to graphing the trig functions

RESOURCE: Quiz solutions for this section

Period and amplitude

Period and amplitude

Period and amplitude

Sketching sine and cosine

Sketching sine and cosine

Sketching sine and cosine

Comparing sine and cosine graphs

Horizontal and vertical shifts

Horizontal and vertical shifts

Sequence of transformations

Sequence of transformations

Sequence of transformations

Transformations algebraically

Transformations algebraically

Sketching graphs of transformations

Sketching graphs of transformations

Graphing combinations of functions

Graphing combinations of functions

BONUS! Extra practice problems. :)

Introduction to trig identities

RESOURCE: Quiz solutions for this section

Even-odd identities

Even-odd identities

Even-odd identities

Sum-difference identities

Sum-difference identities

Sum-difference identities, example 2

Sum-difference identities, example 3

Sum-difference identities

Double-angle identities

Double-angle identities

Double-angle identities

Half-angle identities

Half-angle identities

Half-angle identities

Product-to-sum identities

Product-to-sum identities

Product-to-sum identities

Sum-to-product identities

Sum-to-product identities

Sum-to-product identities

Using trig identities to prove the equation

Using trig identities to prove the equation

Using trig identities to prove the equation

Listing the solutions in the interval

Listing the solutions in the interval

Listing the solutions in the interval, example 2

Listing the solutions in the interval

BONUS! Extra practice problems. :)

Introduction to inverse trig functions

RESOURCE: Quiz solutions for this section

Inverse trig relations

Inverse trig relations

Graphs of inverse trig relations

Graphs of inverse trig relations

Finding the value of an inverse trig function

Finding the value of an inverse trig function

Finding the value of an inverse trig function

BONUS! Extra practice problems. :)

Trigonometry final exam

Introduction to polar coordinates

RESOURCE: Quiz solutions for this section

Converting polar coordinates to rectangular

Converting polar coordinates to rectangular

Converting polar coordinates to rectangular

Converting rectangular coordinates to polar

Converting rectangular coordinates to polar

Converting rectangular coordinates to polar

Express the polar point multiple ways

Express the polar point multiple ways

Express the polar point multiple ways

Converting equations from polar to rectangular

Converting equations from polar to rectangular

Converting equations from polar to rectangular

Converting equations from rectangular to polar

Converting equations from rectangular to polar

Converting equations from rectangular to polar

Introduction to graphing polar curves

RESOURCE: Quiz solutions for this section

Graph the polar curve, circle

Graph the polar curve, circle

Graph the polar curve, circle

Graph the polar curve, rose

Graph the polar curve, rose

Graph the polar curve, rose

Graph the polar curve, cardioid

Graph the polar curve, cardioid

Graph the polar curve, cardioid

Graph the polar curve, limacon

Graph the polar curve, limacon

Graph the polar curve, limacon

Graph the polar curve, lemniscate

Graph the polar curve, lemniscate

Graph the polar curve, lemniscate

Intersection points of the polar curves

Intersection points of the polar curves

Intersection points of the polar curves

Graph the polar region in the xy-plane

Graph the polar region in the xy-plane

Graph the polar region in the xy-plane

Parametric curves

Hi! START HERE: Course overview

Download the formula sheets

Introduction to angles and their measure

RESOURCE: Quiz solutions for this section

Complementary and supplementary angles

Complementary and supplementary angles

Complementary and supplementary angles

Sketching angles in standard position

Sketching angles in standard position

Sketching angles in standard position

Quadrant of the angle

Quadrant of the angle

Quadrant of the angle

Converting between degrees and DMS

Converting between degrees and DMS

Converting between degrees and DMS

Coterminal angles

Coterminal angles

Coterminal angles, example 2

Coterminal angles

Converting between degrees and radians

Converting between degrees and radians

Converting between degrees and radians, example 2

Converting between degrees and radians

Functions of negative angles

Functions of negative angles

BONUS! Extra practice problems. :)

Introduction to angles in circles

RESOURCE: Quiz solutions for this section

Oriented arc for a real number

Oriented arc for a real number

Oriented arc for a real number

Area of a circular sector

Area of a circular sector

Area of a circular sector

Linear and angular velocity

Linear and angular velocity

BONUS! Extra practice problems. :)

Introduction to six circular functions

RESOURCE: Quiz solutions for this section

Domain and range of the six circular functions

Domain and range of the six circular functions

Find the value or say where it's undefined

Find the value or say where it's undefined

Find the value or say where it's undefined

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions at the coordinate point

Find all six trig functions using reciprocal identities

Angle of depression and elevation

Angle of elevation

Angle of depression and elevation

Proving the trig equation

Proving the trig equation

Proving the trig equation with pythagorean identities

Proving the trig equation

BONUS! Extra practice problems. :)

Introduction to the laws of sine and cosine

RESOURCE: Quiz solutions for this section

Law of sines

Law of sines

Law of sines

Law of cosines

Law of cosines

Law of cosines

Area of a triangle

Law of sines for area of a triangle

Heron's formula for area of a triangle

Area of a triangle

BONUS! Extra practice problems. :)

Introduction to the unit circle

RESOURCE: Quiz solutions for this section

The unit circle

The unit circle

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

All possible values for the angle theta

All possible values for the angle theta

All possible values for the angle theta, example 2

All possible values for the real number t

All possible values for the angle theta

Completing a right triangle

Completing a right triangle

Finding the side lengths of the triangle

Completing a right triangle

Reference angle theorem

Reference angle theorem

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

BONUS! Extra practice problems. :)

Introduction to graphing the trig functions

RESOURCE: Quiz solutions for this section

Period and amplitude

Period and amplitude

Period and amplitude

Sketching sine and cosine

Sketching sine and cosine

Sketching sine and cosine

Comparing sine and cosine graphs

Horizontal and vertical shifts

Horizontal and vertical shifts

Sequence of transformations

Sequence of transformations

Sequence of transformations

Transformations algebraically

Transformations algebraically

Sketching graphs of transformations

Sketching graphs of transformations

Graphing combinations of functions

Graphing combinations of functions

BONUS! Extra practice problems. :)

Introduction to trig identities

RESOURCE: Quiz solutions for this section

Even-odd identities

Even-odd identities

Even-odd identities

Sum-difference identities

Sum-difference identities

Sum-difference identities, example 2

Sum-difference identities, example 3

Sum-difference identities

Double-angle identities

Double-angle identities

Double-angle identities

Half-angle identities

Half-angle identities

Half-angle identities

Product-to-sum identities

Product-to-sum identities

Product-to-sum identities

Sum-to-product identities

Sum-to-product identities

Sum-to-product identities

Using trig identities to prove the equation

Using trig identities to prove the equation

Using trig identities to prove the equation

Listing the solutions in the interval

Listing the solutions in the interval

Listing the solutions in the interval, example 2

Listing the solutions in the interval

BONUS! Extra practice problems. :)

Introduction to inverse trig functions

RESOURCE: Quiz solutions for this section

Inverse trig relations

Inverse trig relations

Graphs of inverse trig relations

Graphs of inverse trig relations

Finding the value of an inverse trig function

Finding the value of an inverse trig function

Finding the value of an inverse trig function

BONUS! Extra practice problems. :)

Trigonometry final exam

Introduction to polar coordinates

RESOURCE: Quiz solutions for this section

Converting polar coordinates to rectangular

Converting polar coordinates to rectangular

Converting polar coordinates to rectangular

Converting rectangular coordinates to polar

Converting rectangular coordinates to polar

Converting rectangular coordinates to polar

Express the polar point multiple ways

Express the polar point multiple ways

Express the polar point multiple ways

Converting equations from polar to rectangular

Converting equations from polar to rectangular

Converting equations from polar to rectangular

Converting equations from rectangular to polar

Converting equations from rectangular to polar

Converting equations from rectangular to polar

Introduction to graphing polar curves

RESOURCE: Quiz solutions for this section

Graph the polar curve, circle

Graph the polar curve, circle

Graph the polar curve, circle

Graph the polar curve, rose

Graph the polar curve, rose

Graph the polar curve, rose

Graph the polar curve, cardioid

Graph the polar curve, cardioid

Graph the polar curve, cardioid

Graph the polar curve, limacon

Graph the polar curve, limacon

Graph the polar curve, limacon

Graph the polar curve, lemniscate

Graph the polar curve, lemniscate

Graph the polar curve, lemniscate

Intersection points of the polar curves

Intersection points of the polar curves

Intersection points of the polar curves

Graph the polar region in the xy-plane

Graph the polar region in the xy-plane

Graph the polar region in the xy-plane

Introduction to parametric curves

RESOURCE: Quiz solutions for this section

Sketching a parametric curve and its orientation

Sketching a parametric curve and its orientation

Sketching a parametric curve and its orientation

Write the equation as a parametric curve

Write the equation as a parametric curve

Write the equation as a parametric curve

Analytic geometry

Hi! START HERE: Course overview

Download the formula sheets

Introduction to angles and their measure

RESOURCE: Quiz solutions for this section

Complementary and supplementary angles

Complementary and supplementary angles

Complementary and supplementary angles

Sketching angles in standard position

Sketching angles in standard position

Sketching angles in standard position

Quadrant of the angle

Quadrant of the angle

Quadrant of the angle

Converting between degrees and DMS

Converting between degrees and DMS

Converting between degrees and DMS

Coterminal angles

Coterminal angles

Coterminal angles, example 2

Coterminal angles

Converting between degrees and radians

Converting between degrees and radians

Converting between degrees and radians, example 2

Converting between degrees and radians

Functions of negative angles

Functions of negative angles

BONUS! Extra practice problems. :)

Introduction to angles in circles

RESOURCE: Quiz solutions for this section

Oriented arc for a real number

Oriented arc for a real number

Oriented arc for a real number

Area of a circular sector

Area of a circular sector

Area of a circular sector

Linear and angular velocity

Linear and angular velocity

BONUS! Extra practice problems. :)

Introduction to six circular functions

RESOURCE: Quiz solutions for this section

Domain and range of the six circular functions

Domain and range of the six circular functions

Find the value or say where it's undefined

Find the value or say where it's undefined

Find the value or say where it's undefined

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions at the coordinate point

Find all six trig functions using reciprocal identities

Angle of depression and elevation

Angle of elevation

Angle of depression and elevation

Proving the trig equation

Proving the trig equation

Proving the trig equation with pythagorean identities

Proving the trig equation

BONUS! Extra practice problems. :)

Introduction to the laws of sine and cosine

RESOURCE: Quiz solutions for this section

Law of sines

Law of sines

Law of sines

Law of cosines

Law of cosines

Law of cosines

Area of a triangle

Law of sines for area of a triangle

Heron's formula for area of a triangle

Area of a triangle

BONUS! Extra practice problems. :)

Introduction to the unit circle

RESOURCE: Quiz solutions for this section

The unit circle

The unit circle

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

All possible values for the angle theta

All possible values for the angle theta

All possible values for the angle theta, example 2

All possible values for the real number t

All possible values for the angle theta

Completing a right triangle

Completing a right triangle

Finding the side lengths of the triangle

Completing a right triangle

Reference angle theorem

Reference angle theorem

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

BONUS! Extra practice problems. :)

Introduction to graphing the trig functions

RESOURCE: Quiz solutions for this section

Period and amplitude

Period and amplitude

Period and amplitude

Sketching sine and cosine

Sketching sine and cosine

Sketching sine and cosine

Comparing sine and cosine graphs

Horizontal and vertical shifts

Horizontal and vertical shifts

Sequence of transformations

Sequence of transformations

Sequence of transformations

Transformations algebraically

Transformations algebraically

Sketching graphs of transformations

Sketching graphs of transformations

Graphing combinations of functions

Graphing combinations of functions

BONUS! Extra practice problems. :)

Introduction to trig identities

RESOURCE: Quiz solutions for this section

Even-odd identities

Even-odd identities

Even-odd identities

Sum-difference identities

Sum-difference identities

Sum-difference identities, example 2

Sum-difference identities, example 3

Sum-difference identities

Double-angle identities

Double-angle identities

Double-angle identities

Half-angle identities

Half-angle identities

Half-angle identities

Product-to-sum identities

Product-to-sum identities

Product-to-sum identities

Sum-to-product identities

Sum-to-product identities

Sum-to-product identities

Using trig identities to prove the equation

Using trig identities to prove the equation

Using trig identities to prove the equation

Listing the solutions in the interval

Listing the solutions in the interval

Listing the solutions in the interval, example 2

Listing the solutions in the interval

BONUS! Extra practice problems. :)

Introduction to inverse trig functions

RESOURCE: Quiz solutions for this section

Inverse trig relations

Inverse trig relations

Graphs of inverse trig relations

Graphs of inverse trig relations

Finding the value of an inverse trig function

Finding the value of an inverse trig function

Finding the value of an inverse trig function

BONUS! Extra practice problems. :)

Trigonometry final exam

Introduction to polar coordinates

RESOURCE: Quiz solutions for this section

Converting polar coordinates to rectangular

Converting polar coordinates to rectangular

Converting polar coordinates to rectangular

Converting rectangular coordinates to polar

Converting rectangular coordinates to polar

Converting rectangular coordinates to polar

Express the polar point multiple ways

Express the polar point multiple ways

Express the polar point multiple ways

Converting equations from polar to rectangular

Converting equations from polar to rectangular

Converting equations from polar to rectangular

Converting equations from rectangular to polar

Converting equations from rectangular to polar

Converting equations from rectangular to polar

Introduction to graphing polar curves

RESOURCE: Quiz solutions for this section

Graph the polar curve, circle

Graph the polar curve, circle

Graph the polar curve, circle

Graph the polar curve, rose

Graph the polar curve, rose

Graph the polar curve, rose

Graph the polar curve, cardioid

Graph the polar curve, cardioid

Graph the polar curve, cardioid

Graph the polar curve, limacon

Graph the polar curve, limacon

Graph the polar curve, limacon

Graph the polar curve, lemniscate

Graph the polar curve, lemniscate

Graph the polar curve, lemniscate

Intersection points of the polar curves

Intersection points of the polar curves

Intersection points of the polar curves

Graph the polar region in the xy-plane

Graph the polar region in the xy-plane

Graph the polar region in the xy-plane

Introduction to parametric curves

RESOURCE: Quiz solutions for this section

Sketching a parametric curve and its orientation

Sketching a parametric curve and its orientation

Sketching a parametric curve and its orientation

Write the equation as a parametric curve

Write the equation as a parametric curve

Write the equation as a parametric curve

Introduction to analytic geometry

RESOURCE: Quiz solutions for this section

Graph of a single point or of no points

Set of points equally distant from two points

Set of points unequally distant from two points

Eccentricity and directrix of the conic section

Eccentricity and directrix of the conic section

Analytic geometry of the parabola

Vertex, axis, focus, directrix of a parabola

Vertex, axis, focus, directrix of a parabola

Equation of a parabolic conic section

Equation of a parabolic conic section

Polar equation of a parabolic conic section

Polar equation of a parabolic conic section

Analytic geometry of the ellipse

Vertex, axis, focus, directrix of an ellipse

Vertex, axis, focus, directrix of an ellipse

Equation of an elliptical conic section

Equation of an elliptical conic section

Polar equation of an elliptical conic section

Polar equation of an elliptical conic section

Analytic geometry of the hyperbola

Vertex, axis, focus, directrix of a hyperbola

Vertex, axis, focus, directrix of a hyperbola

Equation of a hyperbolic conic section

Equation of a hyperbolic conic section

Polar equation of a hyperbolic conic section

Polar equation of a hyperbolic conic section

Hyperbolic identities

Hyperbolic identities

Complex numbers

Hi! START HERE: Course overview

Download the formula sheets

Introduction to angles and their measure

RESOURCE: Quiz solutions for this section

Complementary and supplementary angles

Complementary and supplementary angles

Complementary and supplementary angles

Sketching angles in standard position

Sketching angles in standard position

Sketching angles in standard position

Quadrant of the angle

Quadrant of the angle

Quadrant of the angle

Converting between degrees and DMS

Converting between degrees and DMS

Converting between degrees and DMS

Coterminal angles

Coterminal angles

Coterminal angles, example 2

Coterminal angles

Converting between degrees and radians

Converting between degrees and radians

Converting between degrees and radians, example 2

Converting between degrees and radians

Functions of negative angles

Functions of negative angles

BONUS! Extra practice problems. :)

Introduction to angles in circles

RESOURCE: Quiz solutions for this section

Oriented arc for a real number

Oriented arc for a real number

Oriented arc for a real number

Area of a circular sector

Area of a circular sector

Area of a circular sector

Linear and angular velocity

Linear and angular velocity

BONUS! Extra practice problems. :)

Introduction to six circular functions

RESOURCE: Quiz solutions for this section

Domain and range of the six circular functions

Domain and range of the six circular functions

Find the value or say where it's undefined

Find the value or say where it's undefined

Find the value or say where it's undefined

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions at the coordinate point

Find all six trig functions using reciprocal identities

Angle of depression and elevation

Angle of elevation

Angle of depression and elevation

Proving the trig equation

Proving the trig equation

Proving the trig equation with pythagorean identities

Proving the trig equation

BONUS! Extra practice problems. :)

Introduction to the laws of sine and cosine

RESOURCE: Quiz solutions for this section

Law of sines

Law of sines

Law of sines

Law of cosines

Law of cosines

Law of cosines

Area of a triangle

Law of sines for area of a triangle

Heron's formula for area of a triangle

Area of a triangle

BONUS! Extra practice problems. :)

Introduction to the unit circle

RESOURCE: Quiz solutions for this section

The unit circle

The unit circle

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

All possible values for the angle theta

All possible values for the angle theta

All possible values for the angle theta, example 2

All possible values for the real number t

All possible values for the angle theta

Completing a right triangle

Completing a right triangle

Finding the side lengths of the triangle

Completing a right triangle

Reference angle theorem

Reference angle theorem

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

BONUS! Extra practice problems. :)

Introduction to graphing the trig functions

RESOURCE: Quiz solutions for this section

Period and amplitude

Period and amplitude

Period and amplitude

Sketching sine and cosine

Sketching sine and cosine

Sketching sine and cosine

Comparing sine and cosine graphs

Horizontal and vertical shifts

Horizontal and vertical shifts

Sequence of transformations

Sequence of transformations

Sequence of transformations

Transformations algebraically

Transformations algebraically

Sketching graphs of transformations

Sketching graphs of transformations

Graphing combinations of functions

Graphing combinations of functions

BONUS! Extra practice problems. :)

Introduction to trig identities

RESOURCE: Quiz solutions for this section

Even-odd identities

Even-odd identities

Even-odd identities

Sum-difference identities

Sum-difference identities

Sum-difference identities, example 2

Sum-difference identities, example 3

Sum-difference identities

Double-angle identities

Double-angle identities

Double-angle identities

Half-angle identities

Half-angle identities

Half-angle identities

Product-to-sum identities

Product-to-sum identities

Product-to-sum identities

Sum-to-product identities

Sum-to-product identities

Sum-to-product identities

Using trig identities to prove the equation

Using trig identities to prove the equation

Using trig identities to prove the equation

Listing the solutions in the interval

Listing the solutions in the interval

Listing the solutions in the interval, example 2

Listing the solutions in the interval

BONUS! Extra practice problems. :)

Introduction to inverse trig functions

RESOURCE: Quiz solutions for this section

Inverse trig relations

Inverse trig relations

Graphs of inverse trig relations

Graphs of inverse trig relations

Finding the value of an inverse trig function

Finding the value of an inverse trig function

Finding the value of an inverse trig function

BONUS! Extra practice problems. :)

Trigonometry final exam

Introduction to polar coordinates

RESOURCE: Quiz solutions for this section

Converting polar coordinates to rectangular

Converting polar coordinates to rectangular

Converting polar coordinates to rectangular

Converting rectangular coordinates to polar

Converting rectangular coordinates to polar

Converting rectangular coordinates to polar

Express the polar point multiple ways

Express the polar point multiple ways

Express the polar point multiple ways

Converting equations from polar to rectangular

Converting equations from polar to rectangular

Converting equations from polar to rectangular

Converting equations from rectangular to polar

Converting equations from rectangular to polar

Converting equations from rectangular to polar

Introduction to graphing polar curves

RESOURCE: Quiz solutions for this section

Graph the polar curve, circle

Graph the polar curve, circle

Graph the polar curve, circle

Graph the polar curve, rose

Graph the polar curve, rose

Graph the polar curve, rose

Graph the polar curve, cardioid

Graph the polar curve, cardioid

Graph the polar curve, cardioid

Graph the polar curve, limacon

Graph the polar curve, limacon

Graph the polar curve, limacon

Graph the polar curve, lemniscate

Graph the polar curve, lemniscate

Graph the polar curve, lemniscate

Intersection points of the polar curves

Intersection points of the polar curves

Intersection points of the polar curves

Graph the polar region in the xy-plane

Graph the polar region in the xy-plane

Graph the polar region in the xy-plane

Introduction to parametric curves

RESOURCE: Quiz solutions for this section

Sketching a parametric curve and its orientation

Sketching a parametric curve and its orientation

Sketching a parametric curve and its orientation

Write the equation as a parametric curve

Write the equation as a parametric curve

Write the equation as a parametric curve

Introduction to analytic geometry

RESOURCE: Quiz solutions for this section

Graph of a single point or of no points

Set of points equally distant from two points

Set of points unequally distant from two points

Eccentricity and directrix of the conic section

Eccentricity and directrix of the conic section

Analytic geometry of the parabola

Vertex, axis, focus, directrix of a parabola

Vertex, axis, focus, directrix of a parabola

Equation of a parabolic conic section

Equation of a parabolic conic section

Polar equation of a parabolic conic section

Polar equation of a parabolic conic section

Analytic geometry of the ellipse

Vertex, axis, focus, directrix of an ellipse

Vertex, axis, focus, directrix of an ellipse

Equation of an elliptical conic section

Equation of an elliptical conic section

Polar equation of an elliptical conic section

Polar equation of an elliptical conic section

Analytic geometry of the hyperbola

Vertex, axis, focus, directrix of a hyperbola

Vertex, axis, focus, directrix of a hyperbola

Equation of a hyperbolic conic section

Equation of a hyperbolic conic section

Polar equation of a hyperbolic conic section

Polar equation of a hyperbolic conic section

Hyperbolic identities

Hyperbolic identities

Introduction to complex numbers

RESOURCE: Quiz solutions for this section

Complex numbers

Complex numbers

Complex numbers

Complex number operations

Complex number operations

Complex number operations

Graphing complex numbers

Graphing complex numbers

Graphing complex numbers

Distances and midpoints

Distances and midpoints

Distances and midpoints

Complex numbers in polar form

Complex numbers in polar form

Complex numbers in polar form

Multiplying and dividing polar forms

Multiplying and dividing polar forms

Multiplying and dividing polar forms

Powers of complex numbers and De Moivre's theorem

Powers of complex numbers and De Moivre's theorem

Powers of complex numbers and De Moivre's theorem

Complex number equations

Complex number equations

Complex number equations

Roots of complex numbers

Roots of complex numbers

Roots of complex numbers

BONUS! Extra practice problems. :)

Matrices

Hi! START HERE: Course overview

Download the formula sheets

Introduction to angles and their measure

RESOURCE: Quiz solutions for this section

Complementary and supplementary angles

Complementary and supplementary angles

Complementary and supplementary angles

Sketching angles in standard position

Sketching angles in standard position

Sketching angles in standard position

Quadrant of the angle

Quadrant of the angle

Quadrant of the angle

Converting between degrees and DMS

Converting between degrees and DMS

Converting between degrees and DMS

Coterminal angles

Coterminal angles

Coterminal angles, example 2

Coterminal angles

Converting between degrees and radians

Converting between degrees and radians

Converting between degrees and radians, example 2

Converting between degrees and radians

Functions of negative angles

Functions of negative angles

BONUS! Extra practice problems. :)

Introduction to angles in circles

RESOURCE: Quiz solutions for this section

Oriented arc for a real number

Oriented arc for a real number

Oriented arc for a real number

Area of a circular sector

Area of a circular sector

Area of a circular sector

Linear and angular velocity

Linear and angular velocity

BONUS! Extra practice problems. :)

Introduction to six circular functions

RESOURCE: Quiz solutions for this section

Domain and range of the six circular functions

Domain and range of the six circular functions

Find the value or say where it's undefined

Find the value or say where it's undefined

Find the value or say where it's undefined

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions at the coordinate point

Find all six trig functions using reciprocal identities

Angle of depression and elevation

Angle of elevation

Angle of depression and elevation

Proving the trig equation

Proving the trig equation

Proving the trig equation with pythagorean identities

Proving the trig equation

BONUS! Extra practice problems. :)

Introduction to the laws of sine and cosine

RESOURCE: Quiz solutions for this section

Law of sines

Law of sines

Law of sines

Law of cosines

Law of cosines

Law of cosines

Area of a triangle

Law of sines for area of a triangle

Heron's formula for area of a triangle

Area of a triangle

BONUS! Extra practice problems. :)

Introduction to the unit circle

RESOURCE: Quiz solutions for this section

The unit circle

The unit circle

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

All possible values for the angle theta

All possible values for the angle theta

All possible values for the angle theta, example 2

All possible values for the real number t

All possible values for the angle theta

Completing a right triangle

Completing a right triangle

Finding the side lengths of the triangle

Completing a right triangle

Reference angle theorem

Reference angle theorem

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

BONUS! Extra practice problems. :)

Introduction to graphing the trig functions

RESOURCE: Quiz solutions for this section

Period and amplitude

Period and amplitude

Period and amplitude

Sketching sine and cosine

Sketching sine and cosine

Sketching sine and cosine

Comparing sine and cosine graphs

Horizontal and vertical shifts

Horizontal and vertical shifts

Sequence of transformations

Sequence of transformations

Sequence of transformations

Transformations algebraically

Transformations algebraically

Sketching graphs of transformations

Sketching graphs of transformations

Graphing combinations of functions

Graphing combinations of functions

BONUS! Extra practice problems. :)

Introduction to trig identities

RESOURCE: Quiz solutions for this section

Even-odd identities

Even-odd identities

Even-odd identities

Sum-difference identities

Sum-difference identities

Sum-difference identities, example 2

Sum-difference identities, example 3

Sum-difference identities

Double-angle identities

Double-angle identities

Double-angle identities

Half-angle identities

Half-angle identities

Half-angle identities

Product-to-sum identities

Product-to-sum identities

Product-to-sum identities

Sum-to-product identities

Sum-to-product identities

Sum-to-product identities

Using trig identities to prove the equation

Using trig identities to prove the equation

Using trig identities to prove the equation

Listing the solutions in the interval

Listing the solutions in the interval

Listing the solutions in the interval, example 2

Listing the solutions in the interval

BONUS! Extra practice problems. :)

Introduction to inverse trig functions

RESOURCE: Quiz solutions for this section

Inverse trig relations

Inverse trig relations

Graphs of inverse trig relations

Graphs of inverse trig relations

Finding the value of an inverse trig function

Finding the value of an inverse trig function

Finding the value of an inverse trig function

BONUS! Extra practice problems. :)

Trigonometry final exam

Introduction to polar coordinates

RESOURCE: Quiz solutions for this section

Converting polar coordinates to rectangular

Converting polar coordinates to rectangular

Converting polar coordinates to rectangular

Converting rectangular coordinates to polar

Converting rectangular coordinates to polar

Converting rectangular coordinates to polar

Express the polar point multiple ways

Express the polar point multiple ways

Express the polar point multiple ways

Converting equations from polar to rectangular

Converting equations from polar to rectangular

Converting equations from polar to rectangular

Converting equations from rectangular to polar

Converting equations from rectangular to polar

Converting equations from rectangular to polar

Introduction to graphing polar curves

RESOURCE: Quiz solutions for this section

Graph the polar curve, circle

Graph the polar curve, circle

Graph the polar curve, circle

Graph the polar curve, rose

Graph the polar curve, rose

Graph the polar curve, rose

Graph the polar curve, cardioid

Graph the polar curve, cardioid

Graph the polar curve, cardioid

Graph the polar curve, limacon

Graph the polar curve, limacon

Graph the polar curve, limacon

Graph the polar curve, lemniscate

Graph the polar curve, lemniscate

Graph the polar curve, lemniscate

Intersection points of the polar curves

Intersection points of the polar curves

Intersection points of the polar curves

Graph the polar region in the xy-plane

Graph the polar region in the xy-plane

Graph the polar region in the xy-plane

Introduction to parametric curves

RESOURCE: Quiz solutions for this section

Sketching a parametric curve and its orientation

Sketching a parametric curve and its orientation

Sketching a parametric curve and its orientation

Write the equation as a parametric curve

Write the equation as a parametric curve

Write the equation as a parametric curve

Introduction to analytic geometry

RESOURCE: Quiz solutions for this section

Graph of a single point or of no points

Set of points equally distant from two points

Set of points unequally distant from two points

Eccentricity and directrix of the conic section

Eccentricity and directrix of the conic section

Analytic geometry of the parabola

Vertex, axis, focus, directrix of a parabola

Vertex, axis, focus, directrix of a parabola

Equation of a parabolic conic section

Equation of a parabolic conic section

Polar equation of a parabolic conic section

Polar equation of a parabolic conic section

Analytic geometry of the ellipse

Vertex, axis, focus, directrix of an ellipse

Vertex, axis, focus, directrix of an ellipse

Equation of an elliptical conic section

Equation of an elliptical conic section

Polar equation of an elliptical conic section

Polar equation of an elliptical conic section

Analytic geometry of the hyperbola

Vertex, axis, focus, directrix of a hyperbola

Vertex, axis, focus, directrix of a hyperbola

Equation of a hyperbolic conic section

Equation of a hyperbolic conic section

Polar equation of a hyperbolic conic section

Polar equation of a hyperbolic conic section

Hyperbolic identities

Hyperbolic identities

Introduction to complex numbers

RESOURCE: Quiz solutions for this section

Complex numbers

Complex numbers

Complex numbers

Complex number operations

Complex number operations

Complex number operations

Graphing complex numbers

Graphing complex numbers

Graphing complex numbers

Distances and midpoints

Distances and midpoints

Distances and midpoints

Complex numbers in polar form

Complex numbers in polar form

Complex numbers in polar form

Multiplying and dividing polar forms

Multiplying and dividing polar forms

Multiplying and dividing polar forms

Powers of complex numbers and De Moivre's theorem

Powers of complex numbers and De Moivre's theorem

Powers of complex numbers and De Moivre's theorem

Complex number equations

Complex number equations

Complex number equations

Roots of complex numbers

Roots of complex numbers

Roots of complex numbers

BONUS! Extra practice problems. :)

Introduction to matrices

RESOURCE: Quiz solutions for this section

Matrix dimensions and entries

Matrix dimensions and entries

Matrix dimensions and entries

Representing systems with matrices

Representing systems with matrices

Representing systems with matrices

Simple row operations

Simple row operations

Simple row operations

Gauss-Jordan elimination and reduced row-echelon form

Gauss-Jordan elimination and reduced row-echelon form

Gauss-Jordan elimination and reduced row-echelon form

Matrix addition and subtraction

Matrix addition and subtraction

Matrix addition and subtraction

Scalar multiplication and zero matrices

Scalar multiplication and zero matrices

Scalar multiplication and zero matrices

Matrix multiplication

Matrix multiplication

Matrix multiplication

Identity matrices

Identity matrices

Identity matrices

Transformations

Transformations

Transformations

Matrix inverses, and invertible and singular matrices

Matrix inverses, and invertible and singular matrices

Matrix inverses, and invertible and singular matrices

Solving systems with inverse matrices

Solving systems with inverse matrices

Solving systems with inverse matrices

Solving systems with Cramer's rule

Solving systems with Cramer's rule

Solving systems with Cramer's rule

BONUS! Extra practice problems. :)

Final exam and wrap-up

Hi! START HERE: Course overview

Download the formula sheets

Introduction to angles and their measure

RESOURCE: Quiz solutions for this section

Complementary and supplementary angles

Complementary and supplementary angles

Complementary and supplementary angles

Sketching angles in standard position

Sketching angles in standard position

Sketching angles in standard position

Quadrant of the angle

Quadrant of the angle

Quadrant of the angle

Converting between degrees and DMS

Converting between degrees and DMS

Converting between degrees and DMS

Coterminal angles

Coterminal angles

Coterminal angles, example 2

Coterminal angles

Converting between degrees and radians

Converting between degrees and radians

Converting between degrees and radians, example 2

Converting between degrees and radians

Functions of negative angles

Functions of negative angles

BONUS! Extra practice problems. :)

Introduction to angles in circles

RESOURCE: Quiz solutions for this section

Oriented arc for a real number

Oriented arc for a real number

Oriented arc for a real number

Area of a circular sector

Area of a circular sector

Area of a circular sector

Linear and angular velocity

Linear and angular velocity

BONUS! Extra practice problems. :)

Introduction to six circular functions

RESOURCE: Quiz solutions for this section

Domain and range of the six circular functions

Domain and range of the six circular functions

Find the value or say where it's undefined

Find the value or say where it's undefined

Find the value or say where it's undefined

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions given the quadrant of the angle

Find all six trig functions at the coordinate point

Find all six trig functions using reciprocal identities

Angle of depression and elevation

Angle of elevation

Angle of depression and elevation

Proving the trig equation

Proving the trig equation

Proving the trig equation with pythagorean identities

Proving the trig equation

BONUS! Extra practice problems. :)

Introduction to the laws of sine and cosine

RESOURCE: Quiz solutions for this section

Law of sines

Law of sines

Law of sines

Law of cosines

Law of cosines

Law of cosines

Area of a triangle

Law of sines for area of a triangle

Heron's formula for area of a triangle

Area of a triangle

BONUS! Extra practice problems. :)

Introduction to the unit circle

RESOURCE: Quiz solutions for this section

The unit circle

The unit circle

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine and cosine of an angle theta

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

Finding sine given cosine, or vice versa

All possible values for the angle theta

All possible values for the angle theta

All possible values for the angle theta, example 2

All possible values for the real number t

All possible values for the angle theta

Completing a right triangle

Completing a right triangle

Finding the side lengths of the triangle

Completing a right triangle

Reference angle theorem

Reference angle theorem

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

Given a point on the terminal side of the angle

BONUS! Extra practice problems. :)

Introduction to graphing the trig functions

RESOURCE: Quiz solutions for this section

Period and amplitude

Period and amplitude

Period and amplitude

Sketching sine and cosine

Sketching sine and cosine

Sketching sine and cosine

Comparing sine and cosine graphs

Horizontal and vertical shifts

Horizontal and vertical shifts

Sequence of transformations

Sequence of transformations

Sequence of transformations

Transformations algebraically

Transformations algebraically

Sketching graphs of transformations

Sketching graphs of transformations

Graphing combinations of functions

Graphing combinations of functions

BONUS! Extra practice problems. :)

Introduction to trig identities

RESOURCE: Quiz solutions for this section

Even-odd identities

Even-odd identities

Even-odd identities

Sum-difference identities

Sum-difference identities

Sum-difference identities, example 2

Sum-difference identities, example 3

Sum-difference identities

Double-angle identities

Double-angle identities

Double-angle identities

Half-angle identities

Half-angle identities

Half-angle identities

Product-to-sum identities

Product-to-sum identities

Product-to-sum identities

Sum-to-product identities

Sum-to-product identities

Sum-to-product identities

Using trig identities to prove the equation

Using trig identities to prove the equation

Using trig identities to prove the equation

Listing the solutions in the interval

Listing the solutions in the interval

Listing the solutions in the interval, example 2

Listing the solutions in the interval

BONUS! Extra practice problems. :)

Introduction to inverse trig functions

RESOURCE: Quiz solutions for this section

Inverse trig relations

Inverse trig relations

Graphs of inverse trig relations

Graphs of inverse trig relations

Finding the value of an inverse trig function

Finding the value of an inverse trig function

Finding the value of an inverse trig function

BONUS! Extra practice problems. :)

Trigonometry final exam

Introduction to polar coordinates

RESOURCE: Quiz solutions for this section

Converting polar coordinates to rectangular

Converting polar coordinates to rectangular

Converting polar coordinates to rectangular

Converting rectangular coordinates to polar

Converting rectangular coordinates to polar

Converting rectangular coordinates to polar

Express the polar point multiple ways

Express the polar point multiple ways

Express the polar point multiple ways

Converting equations from polar to rectangular

Converting equations from polar to rectangular

Converting equations from polar to rectangular

Converting equations from rectangular to polar

Converting equations from rectangular to polar

Converting equations from rectangular to polar

Introduction to graphing polar curves

RESOURCE: Quiz solutions for this section

Graph the polar curve, circle

Graph the polar curve, circle

Graph the polar curve, circle

Graph the polar curve, rose

Graph the polar curve, rose

Graph the polar curve, rose

Graph the polar curve, cardioid

Graph the polar curve, cardioid

Graph the polar curve, cardioid

Graph the polar curve, limacon

Graph the polar curve, limacon

Graph the polar curve, limacon

Graph the polar curve, lemniscate

Graph the polar curve, lemniscate

Graph the polar curve, lemniscate

Intersection points of the polar curves

Intersection points of the polar curves

Intersection points of the polar curves

Graph the polar region in the xy-plane

Graph the polar region in the xy-plane

Graph the polar region in the xy-plane

Introduction to parametric curves

RESOURCE: Quiz solutions for this section

Sketching a parametric curve and its orientation

Sketching a parametric curve and its orientation

Sketching a parametric curve and its orientation

Write the equation as a parametric curve

Write the equation as a parametric curve

Write the equation as a parametric curve

Introduction to analytic geometry

RESOURCE: Quiz solutions for this section

Graph of a single point or of no points

Set of points equally distant from two points

Set of points unequally distant from two points

Eccentricity and directrix of the conic section

Eccentricity and directrix of the conic section

Analytic geometry of the parabola

Vertex, axis, focus, directrix of a parabola

Vertex, axis, focus, directrix of a parabola

Equation of a parabolic conic section

Equation of a parabolic conic section

Polar equation of a parabolic conic section

Polar equation of a parabolic conic section

Analytic geometry of the ellipse

Vertex, axis, focus, directrix of an ellipse

Vertex, axis, focus, directrix of an ellipse

Equation of an elliptical conic section

Equation of an elliptical conic section

Polar equation of an elliptical conic section

Polar equation of an elliptical conic section

Analytic geometry of the hyperbola

Vertex, axis, focus, directrix of a hyperbola

Vertex, axis, focus, directrix of a hyperbola

Equation of a hyperbolic conic section

Equation of a hyperbolic conic section

Polar equation of a hyperbolic conic section

Polar equation of a hyperbolic conic section

Hyperbolic identities

Hyperbolic identities

Introduction to complex numbers

RESOURCE: Quiz solutions for this section

Complex numbers

Complex numbers

Complex numbers

Complex number operations

Complex number operations

Complex number operations

Graphing complex numbers

Graphing complex numbers

Graphing complex numbers

Distances and midpoints

Distances and midpoints

Distances and midpoints

Complex numbers in polar form

Complex numbers in polar form

Complex numbers in polar form

Multiplying and dividing polar forms

Multiplying and dividing polar forms

Multiplying and dividing polar forms

Powers of complex numbers and De Moivre's theorem

Powers of complex numbers and De Moivre's theorem

Powers of complex numbers and De Moivre's theorem

Complex number equations

Complex number equations

Complex number equations

Roots of complex numbers

Roots of complex numbers

Roots of complex numbers

BONUS! Extra practice problems. :)

Introduction to matrices

RESOURCE: Quiz solutions for this section

Matrix dimensions and entries

Matrix dimensions and entries

Matrix dimensions and entries

Representing systems with matrices

Representing systems with matrices

Representing systems with matrices

Simple row operations

Simple row operations

Simple row operations

Gauss-Jordan elimination and reduced row-echelon form

Gauss-Jordan elimination and reduced row-echelon form

Gauss-Jordan elimination and reduced row-echelon form

Matrix addition and subtraction

Matrix addition and subtraction

Matrix addition and subtraction

Scalar multiplication and zero matrices

Scalar multiplication and zero matrices

Scalar multiplication and zero matrices

Matrix multiplication

Matrix multiplication

Matrix multiplication

Identity matrices

Identity matrices

Identity matrices

Transformations

Transformations

Transformations

Matrix inverses, and invertible and singular matrices

Matrix inverses, and invertible and singular matrices

Matrix inverses, and invertible and singular matrices

Solving systems with inverse matrices

Solving systems with inverse matrices

Solving systems with inverse matrices

Solving systems with Cramer's rule

Solving systems with Cramer's rule

Solving systems with Cramer's rule

BONUS! Extra practice problems. :)

Precalculus final exam

Wrap-up

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