Ch 12: Trigonometric Identities Overview

About This Chapter

Work through this collection of helpful math lessons to review the different trigonometric identities. This convenient study resource can help any student who needs to prepare for an upcoming exam or is looking for extra help completing homework assignments.

Trigonometric Identities - Chapter Summary

Use this chapter to solidify your understanding of basic trig identities. Through a series of short and informative video lessons, our instructors show you how to apply, prove and derive several types of identities, such as Pythagorean, reciprocal and half-angle identities. Studying this chapter can help you:

  • Recognize the basic trig identities and their alternate forms
  • Understand the applications the Pythagorean, reciprocal and double-angle identities
  • Make calculations using half-angle, product-to-sum and sum-to-product identities
  • Use the six sum and difference identities
  • Prove and derive trig identities

Following each lesson is a short quiz to help you retain the information you've studied and practice solving trig identify problems on your own. If you need clarification on a particular trig identity topic, you can easily submit questions to our instructors, who are happy to assist you. To make your studying experience flexible and convenient, we've made the chapter available to access on any computer or mobile device.

10 Lessons in Chapter 12: Trigonometric Identities Overview
Test your knowledge with a 30-question chapter practice test
List of the Basic Trig Identities

1. List of the Basic Trig Identities

There are specific trig functions that have very special and very simple relationships with each other. Learn the main one and how you can use it to understand the others.

Alternate Forms of Trigonometric Identities

2. Alternate Forms of Trigonometric Identities

After watching this video lesson, you will know some of the alternate forms of the basic trigonometric identities. You will also learn how to use these alternate forms.

Pythagorean Identities: Uses & Applications

3. Pythagorean Identities: Uses & Applications

After watching this video lesson, you will be able to spot the Pythagorean identities when you see them. You will also learn how these identities can help you solve more complicated trig problems.

Reciprocal Identities: Uses & Applications

4. Reciprocal Identities: Uses & Applications

Trigonometry is full of identities, a set of which are called the reciprocal identities. Watch this video lesson to learn what they are and how you can use them to help you solve problems.

Double-Angle Identities: Uses & Applications

5. Double-Angle Identities: Uses & Applications

Watch this video lesson to learn how you can use the double-angle identities in trigonometry to help you prove and solve more complicated trigonometry problems.

Half-Angle Identities: Uses & Applications

6. Half-Angle Identities: Uses & Applications

After watching this video lesson, you will be able to use half-angle identities to help you simplify your trig problems and also to help you prove other trig statements.

Product-to-Sum Identities: Uses & Applications

7. Product-to-Sum Identities: Uses & Applications

After watching this video lesson, you will know what the four product-to-sum identities are. You will also know how they are used. You will also see two examples of problems.

Sum-to-Product Identities: Uses & Applications

8. Sum-to-Product Identities: Uses & Applications

In this video lesson, you will learn about the four sum-to-product identities for the sine and cosine functions. Learn how to go from the sum or subtraction of two functions to the product of two functions along with the two angles.

Applying the Sum & Difference Identities

9. Applying the Sum & Difference Identities

Watch this video lesson to learn the six sum and difference identities for the trig functions of sine, cosine, and tangent. Also, learn how you can use them to your advantage when solving tough trig problems.

How to Prove & Derive Trigonometric Identities

10. How to Prove & Derive Trigonometric Identities

After watching this video lesson, you will learn how some of our trigonometric identities are derived. You will also see how some identities naturally lead to the others.

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.
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