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Ch 23: Trigonometric Identities: Tutoring Solution

About This Chapter

The Trigonometric Identities chapter of this High School Precalculus Tutoring Solution is a flexible and affordable path to learning about trig identities. These simple and fun video lessons are each about five minutes long and they teach all of the operations involving trigonometric identities required in a typical high school precalculus course.

How it works:

  • Begin your assignment or other precalculus work.
  • Identify the trig identities concepts that you're stuck on.
  • Find fun videos on the topics you need to understand.
  • Press play, watch and learn!
  • Complete the quizzes to test your understanding.
  • As needed, submit a question to one of our instructors for personalized support.

Who's it for?

This chapter of our high school precalculus tutoring solution will benefit any student who is trying to learn trig identities and earn better grades. This resource can help students including those who:

  • Struggle with understanding alternate forms of trigonometric identities, reciprocal identities, power reducing identities or any other trigonometric identities topic
  • Have limited time for studying
  • Want a cost effective way to supplement their math learning
  • Prefer learning math visually
  • Find themselves failing or close to failing their trigonometric identities unit
  • Cope with ADD or ADHD
  • Want to get ahead in precalculus
  • Don't have access to their math teacher outside of class

Why it works:

  • Engaging Tutors: We make learning trig identities simple and fun.
  • Cost Efficient: For less than 20% of the cost of a private tutor, you'll have unlimited access 24/7.
  • Consistent High Quality: Unlike a live precalculus tutor, these video lessons are thoroughly reviewed.
  • Convenient: Imagine a tutor as portable as your laptop, tablet or smartphone. Learn trig identities on the go!
  • Learn at Your Pace: You can pause and rewatch lessons as often as you'd like, until you master the material.

Learning Objectives

  • Describe the uses of trigonometric identities.
  • List the basic trigonometric identities.
  • Take a look at the alternate forms of trigonometric identities.
  • Explain the applications of Pythagorean identities.
  • Learn the applications of reciprocal identities.
  • Discuss the applications of double-angle identities.
  • Learn how to apply half-angle identities.
  • Explore the applications of product-to-sum identities.
  • Explain how to apply sum-to-product identities.
  • Verify trigonometric equation identities using fundamental identities.
  • Apply sum and difference identities.
  • Prove and derive trigonometric identities.

12 Lessons in Chapter 23: Trigonometric Identities: Tutoring Solution
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.

Trigonometric Identities: Definition & Uses

2. 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.

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.

How to Prove & Derive Trigonometric Identities

12. 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.
Not Taken

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Other Chapters

Other chapters within the High School Precalculus: Tutoring Solution course

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