# 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
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

Angles and their measure
Hi! START HERE: Course overview
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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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