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Ch 22: Solving Trigonometric Equations

About This Chapter

Watch online video lessons to learn about inverse trigonometric functions, restricted domains, sinusoidal functions and more. Take the quizzes that follow each lesson to test your knowledge of trigonometric equations.

Solving Trigonometric Equations - Chapter Summary and Learning Objectives

The processes involved in solving trigonometric equations are a lot like the steps required to work with other types of functions. In fact, once you discover the relationship between trig functions and their inverses, you're off to the races. Use the lessons in this chapter to explore some of the basic properties of inverse trigonometric functions and take a look at their graphs, so you can successfully find or solve the following:

  • Trigonometric equations with restricted domains
  • Trigonometric equations with infinite solutions
  • Sinusoidal functions for data sets

Video Objectives
How to Solve Trigonometric Equations for X Examine the inverse operations of trigonometric functions, trigonometric restrictions and the steps involved in solving equations for x.
Solving Trigonometric Equations with Identities and Inverse Functions Learn how basic trigonometric identities and inverse trigonometric functions can be used to solve trigonometric equations.
Properties of Inverse Trigonometric Functions Explore properties of inverse functions for sine, cosine and tangent. Learn to recognize their graphs.
Solving Trigonometric Equations with Restricted Domains Use algebra or a graphing utility to find the values of inverse trigonometric functions and solve trigonometric equations with restricted domains.
Solving Trigonometric Equations with Infinite Solutions Solve trigonometric equations with infinite solutions, either by using algebra or a graphing utility.
Finding the Sinusoidal Function Model a given data set with the appropriate sinusoidal function. Relate the model's parameters to the situation or data set.

6 Lessons in Chapter 22: Solving Trigonometric Equations
Test your knowledge with a 30-question chapter practice test
Solve Trigonometric Equations with Identities & Inverses

1. Solve Trigonometric Equations with Identities & Inverses

After watching this video lesson, you will be able to solve trigonometric equations by making use of trigonometric identities and inverses. Learn the steps to take to get to your solution.

How to Solve Trigonometric Equations for X

2. How to Solve Trigonometric Equations for X

Adding trigonometric functions into standard algebra equations adds complexity. Learn how to solve trigonometric equations for x and how to use inverse operations to simplify equations.

Properties of Inverse Trigonometric Functions

3. Properties of Inverse Trigonometric Functions

After watching this video lesson, you will understand why our inverse trigonometric functions have a limited range. Learn what this does. Also learn the notation for these functions.

Solving Trigonometric Equations with Restricted Domains

4. Solving Trigonometric Equations with Restricted Domains

After watching this video lesson, you will be able to find the right answer for a trigonometric equation with a restricted domain. Learn what it means to have a restricted domain and what you need to do to find your answer.

Solving Trigonometric Equations with Infinite Solutions

5. Solving Trigonometric Equations with Infinite Solutions

Watch this video lesson and you will learn that all trigonometric equations have an infinite set of solutions. But you will also see that we can still go ahead and solve our equations and find concrete answers.

Finding the Sinusoidal Function

6. Finding the Sinusoidal Function

After watching this video lesson, you will be able to write a sinusoidal function to represent any wave that you see. Learn what parts of the function make the wave shift up, down, to the left, and to the right.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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