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Section 1.1: Angles
TopicVideosPractice Problems
Finding the complement and the supplement of an angle Complementary and supplementary angles Complementary and supplementary angles practice
Finding measures of complementary and supplementary angles Angle addition postulate
Calculating with degrees, minutes, and seconds
Converting between angle measures
Finding measures of coterminal angles

Section 1.2: Angle Relationships and Similar Triangles
TopicVideosPractice Problems
Vertical angles Intro to vertical angles Vertical angles practice
Transversals
Angle sum of a triangle Triangle angle example
Conditions for similar triangles Similar triangles practice
Finding side lengths in similar triangles How to find a missing measure with similar triangles  Solving similar triangles

Section 1.3: Trigonometric Functions
TopicVideosPractice Problems
Pythagorean theorem Intro to Pythagorean theorem Pythagorean theorem practice
Distance formula Distance formula Distance formula practice
Trigonometric functions

Intro to the trigonometric ratios

Trigonometry practice
Finding function values of an angle
Finding function values of quadrantal angles

Section 1.4: Using the Definitions of the Trigonometric Functions
TopicVideosPractice Problems
Reciprocal identities Reciprocal trig functions practice
Identifying the quadrant of an angle
Determining whether a value is in the range of a trig function Graph of sin(x)
Finding all function values given one value and the quadrant
Pythagorean identities
Quotient identities
Using identities to find function values Use the Pythagorean trig identity  Circles and Pythagorean identities

Section 2.1: Trigonometric Functions of Acute Angles
TopicVideosPractice Problems
Cofunction identities
Trigonometric function values of special angles

Section 2.2: Trigonometric Functions of Non-Acute Angles
TopicVideosPractice Problems
Finding reference angles
Finding trig function values using reference angles
Using coterminal angles to find function values
Finding angle measures given an interval and a function value

Section 2.3: Approximations of Trigonometric Function Values
TopicVideosPractice Problems
Finding function values with a calculator
Using inverse trig functions to find angles Intro to inverse trig functions Solving for an angle practice

Section 2.4: Solutions and Applications of Right Triangles
TopicVideosPractice Problems
Significant digits Significant figures Significant figures practice
Solve a right triangle given an angle and a side Solving for a side in a right triangle Trigonometry practice 2
Solve a right triangle given two sides Intro to inverse trig functions Solve for an angle in a right triangle
Find a length given the angle of elevation Right triangle word problem Applying right triangles
Find an angle of depression Angles of elevation and depression

Section 2.5: Further Applications of Right Triangles
TopicVideosPractice Problems
Solve a problem involving bearing
Use trig to measure a distance
Solve a problem involving angles of elevation Right triangle word problem

TopicVideosPractice Problems
Finding function values of angles in radian measure

Section 3.2: Applications of Radian Measure
TopicVideosPractice Problems
Arc length Arc length Arc length practice
Area of a sector Area of a sector Areas of circles and sectors

Section 3.3: The unit circle and circular functions
TopicVideosPractice Problems
Unit circle Unit circle definition of trig functions
Circular functions Matching ratios to trig functions
Finding circular function values

Section 3.4: Linear and angular speed
TopicVideosPractice Problems
Linear speed Relationship between angular velocity and speed
Angular speed Relationship between angular velocity and speed

Section 4.1: Graphs of the Sine and Cosine Functions
TopicVideosPractice Problems
Graph of the sine function Graph of y=sin(x)
Graph of the cosine function
Amplitude
Period

Section 4.2: Translations of the Graphs of the Sine and Cosine Functions
TopicVideosPractice Problems
Horizontal translations Shifting and reflecting functions Graphs of trig functions practice

Section 4.3: Graphs of the Tangent and Cotangent Functions
TopicVideosPractice Problems
Graph of the tangent function Graph of y=tan(x)
Graph of the cotangent function

Section 4.4: Graphs of the Secant and Cosecant Functions
TopicVideosPractice Problems
Graph of the secant function
Graph of the cosecant function

Section 5.1: Fundamental Identities
TopicVideosPractice Problems
Fundamental identities

Section 5.2: Verifying Trigonometric Identities
TopicVideosPractice Problems
Verifying an identity

Section 5.3: Sum and Difference Identities for Cosine
TopicVideosPractice Problems
Cosine of a sum or difference Trig addition identities practice
Cofunction identities

Section 5.4: Sum and Difference Identities for Sine and Tangent
TopicVideosPractice Problems
Sum and difference identities for sine Trig addition identities practice
Sum and difference identities for tangent

Section 5.5: Double-Angle Identities
TopicVideosPractice Problems
Double-angle identities Double angle formula for cosine Trig addition identities practice
Product-to-sum identities

Section 5.6: Half-Angle Identities
TopicVideosPractice Problems
Half-angle identities

Section 6.1: Inverse Circular Functions
TopicVideosPractice Problems
Inverse sine function Intro to arcsine Inverse trig functions practice
Inverse cosine function Intro to arccosine Inverse trig functions practice
Inverse tangent function Intro to arctangent Inverse trig functions practice
Inverse secant, cosecant, and cotangent

Section 6.2: Trigonometric Equations 1
TopicVideosPractice Problems
Solving a trigonometric equation by linear methods

Section 6.3: Trigonometric Equations 2
TopicVideosPractice Problems
Equations with half-angles
Equations with double-angles
Equations with multiple-angles

Section 6.4: Equations Involving Inverse Trigonometric Functions
TopicVideosPractice Problems
Solve an equation involving inverse trig functions

Section 7.1: Oblique Triangles and the Law of Sines
TopicVideosPractice Problems
Solving oblique triangles Determining congruent triangles Congruent triangles practice
Law of Sines Law of Sines practice

Section 7.2: The Ambiguous Case of the Law of Sines
TopicVideosPractice Problems
The ambiguous case

Section 7.3: The Law of Cosines
TopicVideosPractice Problems
Law of Cosines Law of Cosines practice
Heron's Area formula Heron's formula

Section 7.4: Geometrically Defined Vectors and Applications
TopicVideosPractice Problems
Vectors Intro to vectors and scalars
Sum of vectors
Scalar multiplication of vectors Scalar multiplication Scaling vectors practice
Finding the magnitude of a resultant Vector word problems

Section 7.5: Applications of Vectors
TopicVideosPractice Problems
Vector components Components of vectors Components of vectors practice
Magnitude and direction with components
Vector operations with components
The dot product Vector dot product
Finding the angle between two vectors Defining the angle between vectors

Section 8.1: Complex Numbers
TopicVideosPractice Problems
Imaginary unit i i and imaginary numbers intro
Complex numbers
Multiplication of complex numbers Multiplying complex numbers Multiplying complex numbers practice
Complex conjugates Complex conjugates Find conjugates of complex numbers
Simplifying powers of i Powers of the imainary unit Imaginary unit powers

Section 8.2: Trigonometric (Polar) form of Complex Numbers
TopicVideosPractice Problems
Polar form Polar and rectangular forms of complex numbers Polar form practice

Section 8.5: Polar Equations and Graphs
TopicVideosPractice Problems
Rectangular and polar coordinates Polar coordinates 1
Finding polar equations of lines and circles Polar coordinates 2
Converting a polar equation to a rectangular equation Polar coordinates 3

Section 8.6: Parametric Equations, Graphs, and Applications
TopicVideosPractice Problems
Parametric equations of a plane curve