# Math 142 Videos

### 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