### Course Videos

Each of these links send you to a play list of the videos for that chapter. The videos are listed both by section number and topic.

Chapter 1 — In this chapter you will learn how to:

- Identify Acute, Obtuse, Right and Straight Angles
- Evaluate Complementary and Supplementary Angles
- Convert between Degree Measure and Revolutions
- Classify Triangles by their Sides and Angles
- Solve problems involving Similar Triangles
- Draw an Angle in Standard Position
- Identify Quadrantal Angles and find their Trig Function values
- Learn and Use the Definitions of the Trigonometric Functions
- Determine the Ranges of the Trig Functions
- Derive and Use the Reciprocal and Quotient Trig Identities

Chapter 2 — In this chapter you will learn how to:

- Learn the Right Triangle Trig definitions using SohCahToa
- Write a Trig Function in terms of its Cofuntion
- Solve Trig Equations using Cofunctions
- Evaluate Trig Function Values of Acute Angles
- Determine a Reference Angle
- Evaluate Trig Function Values of Non-Acute Angles
- Find Trig Function Values using a Calculator
- Find Angle Measures using a Calculator
- Solve problems involving Angle of Elevation and Angle of Depression
- Solve problems involving Right Triangles

Chapter 3 — In this chapter you will learn how to:

- Define Radian Measure and show its relationship to a circle
- Apply Radian Measure to a circle’s physical attributes of Arc Length and Area of a Sector
- Use the Unit Circle to Define the Circular Functions
- Solve problems involving Linear and Angular Speed as an object moves in a circular path

Chapter 4 — In this chapter you will learn how to:

- Derive the basic graphs of Sine, Cosine, Tangent, Cotangent, Secant and Cosecant
- Construct and analyze graphs involving translations of the Trig Function graphs
- Apply the Trig Function graphs to solve application problems involving Harmonic Motion

Chapter 5 — In this chapter you will learn how to:

- Derive and memorize all the Identities: Fundamental, Sum and Difference, Cofunction, Double Angle and Half Angle
- Verify Trigonmetric Identities using two different methods
- Solve application problems using the Identities and algebra techniques

Chapter 6 — In this chapter you will learn how to:

- Graph the Inverse Sine, Inverse Cosine and Inverse Tangent Functions
- Give exact values of all six Inverse Trig Functions by applying their ranges
- Solve equations involving the Inverse Trig Functions
- Solve Trigonometric Equations by factoring, using the Quadratic Formula, and substituting Trig Identities
- Solve Trigonometric Equations for all possible solutions
- Solve Trigonometric Equations with Multiple Angles

Chapter 7 — In this chapter you will learn how to:

- Set up and solve triangle application problems using Law of Sines
- Set up and solve triangle application problems using the Ambiguous Case of the Law of Sines
- Set up and solve triangle application problems using Law of Cosines
- Perform Vector Operations
- Set up and solve application problems using vectors involving bearing, navigation, forces on an incline

Chapter 8 — In this chapter you will learn how to:

- Solve equations with Complex Numbers by factoring and using the Quadratic Formula
- Convert between Rectangular Form and Complex Trigonometric Form
- Apply the Product and Quotient rules to the Trig Form of Complex Numbers
- Apply De Moivre’s Theorem to evaluate powers of Complex Numbers in Trig Form
- Apply the nth Root Theorem to evaluate roots of Complex Numbers in Trig Form