Math 142 Trigonometry

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.

Pre-Trig Review – In this section you will learn how to:

Add or Subtract Fractions with Pi

Review Factoring

Work with Special Products and Powers of Binomials

Reduce Radicals

Simplify Fractions with Pi

Domain and Range

Transformations of Graphs

Even and Odd Functions, Symmetry

Solve Equations involving Pie that have Infinite Answers

Find Common Denominators for Algebraic Expressions

Solve Equations and use the Quadratic Formula

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