Math 142 Trigonometry

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