Ch 46: PLACE Mathematics: Trigonometric Identities

About This Chapter

We can help you review trigonometric identities in preparation for the PLACE Mathematics exam. Our video lessons and self-assessment quizzes combine to give you an array of approaches that enhance learning and helps you answer these questions correctly on the test.

PLACE Mathematics: Trigonometric Identities - Chapter Summary

You can use the lessons in this chapter to review trigonometric identities so that you are prepared for questions on the PLACE Mathematics exam. Our videos review all the important concepts, highlighting the most important points, to refresh your memory. The videos cover these topics:

  • Uses of trigonometric identities
  • Basic and alternate trigonometric identities
  • Pythagorean and reciprocal identities
  • Double and half-angle identities
  • Product-to-sum and sum-to-product identities
  • Verifying a trigonometric equation identity
  • Applying sum and difference identities

Our knowledgeable instructors review each of the concepts and highlight the most important points that you need to know for the test. By using multiple approaches, the process of familiarizing yourself with the material becomes easier and more enjoyable.

Objectives of the PLACE Mathematics: Trigonometric Identities Chapter

The PLACE Mathematics Exam is a test that evaluates your knowledge and understanding of all aspects of mathematics, including foundations of mathematics, functions and relations, measurement and geometry, probability and statistics, and calculus and discrete mathematics. The topics covered in this Trigonometric Identities chapter fall within the Functions and Relations section which includes 24% of the test questions. The self-assessment quizzes that accompany each lesson allow you to test your knowledge and give you a feel for the types of questions that appear on the actual exam.

All of the questions on the exam are multiple choice. You will read a problem or question and then review several possible response options from which you need to select the single correct answer.

11 Lessons in Chapter 46: PLACE 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.
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Other Chapters

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

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