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Ch 46: ORELA Math: Trigonometric Identities

About This Chapter

If you need help reviewing trigonometric identities for your ORELA Math certification test, these engaging video lessons break down the concepts in a way that's easy to understand. Let our instructors know if you have any questions about the trigonometric material covered here.

ORELA Math: Trigonometric Identities - Chapter Summary

As you work your way through these quick, fun video lessons in preparation for the exam, you'll cover the trigonometric identities concepts ORELA-certified math educators are expected to have mastered. Lesson topics include:

  • Basic and alternate forms of trig identities
  • Pythagorean and reciprocal identities
  • Double-angle and half-angle identities
  • Product-to-sum and sum-to-product identities
  • How to verify a trig equation identity
  • Applications of sum and difference identities

The video transcripts present the most important terms and ideas in bold, making it easy to find the topics you'd like to review a second or third time. Use the lesson quizzes to see how well you've retained the information. If you have any questions about trigonometric identities, don't hesitate to ask our instructors for help.

ORELA Math: Trigonometric Identities Chapter Objectives

If you need help reviewing trigonometric identities for the ORELA Math exam, you've come to the right place. This chapter offers a bevy of useful resources to help you master the concepts you'll likely be tested on during the assessment. Lesson quizzes evaluate your exam-readiness and also introduce you to the ORELA format.

Trigonometry and calculus topics, like those highlighted here, cover 19% of the questions on the exam. You'll also be tested on four other areas: statistics, probability and discrete mathematics (19%); measurement and geometry (19%); mathematical processes and number sense (19%); trigonometry and calculus (19%); and patterns, algebra and functions (24%). There are approximately 150 tasks on the assessment. You'll have four and a quarter hours to complete all of them.

11 Lessons in Chapter 46: ORELA Math: Trigonometric Identities
Test your knowledge with a 30-question chapter practice test
Trigonometric Identities: Definition & Uses

1. Trigonometric Identities: Definition & Uses

After watching this video lesson, you will understand what a trigonometric identity is. You will also know the different kinds of identities you will come across.

List of the Basic Trig Identities

2. 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

3. 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

4. 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

5. 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

6. 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

7. 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

8. 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

9. 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.

Verifying a Trigonometric Equation Identity

10. Verifying a Trigonometric Equation Identity

Watch this video lesson to learn how you can use your basic definitions and identities to help you prove a trigonometric equation identity. Learn what is involved and what to do for a successful answer.

Applying the Sum & Difference Identities

11. 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.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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Other Chapters

Other chapters within the ORELA Mathematics: Practice & Study Guide course

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