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Ch 34: MTEL Middle School Mathematics: Trigonometric Identities

About This Chapter

Use these lessons to improve your understanding of the different trigonometric identities and their alternative forms before you take the MTEL Mathematics (Middle School) exam.

MTEL Middle School Mathematics: Trigonometric Identities - Chapter Summary

These lesson videos are about the uses, applications and various forms of trigonometric identities. They are taught by our expert instructors whose objective is to prepare you for related questions on the Massachusetts Tests for Educator Licensure (MTEL) Mathematics (Middle School) exam. Prepare to answer questions regarding:

  • Trigonometric and Pythagorean identities
  • Reciprocal identities
  • Double-angle identities
  • Half-angle identities
  • Product-to-sum identities
  • Sum-to-product identities

For an additional review of the material, read the lesson transcripts that follow the videos. In this way, you may reinforce your knowledge of the information presented in these lessons. Then, test your understanding of this material by taking the quizzes. If you discover a topic that confuses you, use the teacher tabs of the lessons to ask our instructors for assistance.

9 Lessons in Chapter 34: MTEL Middle School 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.

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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