Ch 46: OAE Mathematics: Trigonometric Identities

About This Chapter

Use the engaging resources in this chapter to help you review for the OAE Mathematics test. Watch this online video lessons to study trigonometric identities then take the related self-assessment quizzes.

OAE Mathematics - Trigonometric Identities - Chapter Summary

Recollect the various uses for trigonometric identities when you watch the videos and complete the practice problems in this chapter. While studying and preparing to take the OAE Mathematics examination, you'll explore sum and difference identities, review how to write half-angle identities and recall how to simplify and solve problems. Utilize the concepts in this chapter for help with:

  • Defining and using trigonometric identities
  • Identifying three trigonometric identities and alternate forms of trigonometric identities
  • Using Pythagorean, reciprocal and double-angle identities
  • Describing the applications of half-angle identities, sum-to-product identities and product-to-sum identities
  • Proving a trigonometric equation identity
  • Using the sum and difference identities

You'll re-evaluate what you've already learned about the above concepts and you may learn new information when you watch the useful videos in this chapter. Accumulate the knowledge you'll need to answer relevant questions on the OAE Mathematics examination as you study at a pace that is convenient for you. Use the video tags to re-watch parts of the video, consult the written transcripts and submit your questions to the well-informed video teachers. You'll have opportunities to take the self-assessment quizzes that are included in each lesson.

OAE Mathematics - Trigonometric Identities Chapter Objectives

Demonstrate your mastery of trigonometric identities and other content areas when you sit for the OAE Mathematics examination. The Trigonometry and Calculus section, which equals 19% of the overall test score, contains questions that related to the topics you will study in this chapter.

While pursuing a mathematics endorsement to your teaching certificate, you'll answer 150 multiple-choice questions on the OAE Mathematics exam. The test is computer administered and lasts about four hours and 15 minutes. You may use the provided on-screen scientific calculator during the testing process.

11 Lessons in Chapter 46: OAE Mathematics: 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.
Not Taken

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