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Ch 5: Trigonometry Concepts

About This Chapter

Learn more about the basic trigonometry concepts of functions, theorems, and sine and cosine. These lessons and quizzes use real examples to help prepare you to get the best grade you can on an exam or placement test.

Trigonometry Concepts - Chapter Summary

The trigonometric laws of sine and cosine are explained in this chapter, as well as trigonometric similarity and some of the basic trigonometry identities. The trig values associated with some special angles and the properties of inverse functions are also introduced.

Your study continues with the history of the Pythagorean Theorem and its applications in trigonometry. After you have reviewed this chapter, you should be able to:

  • Understand an easy trick called SohCahToa to help you solve trigonometry problems
  • Define the origins of trigonometric ratios
  • Identify the main trigonometry function that has relationships with all the other ones
  • List the six trigonometric functions
  • Explain the origins of the Pythagorean Theorem
  • Solve real-life problems using the laws of sine and cosine

Use these lesson quizzes and chapter tests to measure how well you understand the subject matter. Our study materials are designed by professional instructors for an easy, interesting learning experience. You can access the lessons and quizzes at any time, day or night, seven days a week. If you have questions as you explore the chapter, contact our instructors for more help.

8 Lessons in Chapter 5: Trigonometry Concepts
Test your knowledge with a 30-question chapter practice test
Trigonometry: Sine and Cosine

1. Trigonometry: Sine and Cosine

Learn an easy trick to help you solve trigonometry problems, including problems with sine, cosine and inverse trig functions. At the end of this lesson, you'll know what SohCahToa means and how to use it.

Trigonometric Ratios and Similarity

2. Trigonometric Ratios and Similarity

Where do terms like sine, cosine and tangent come from? In this lesson, we'll learn about how similarity with right triangles leads to trigonometric ratios.

List of the Basic Trig Identities

3. 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 Function Values of Special Angles

4. Trigonometric Function Values of Special Angles

After watching this video lesson, you will better understand the six trigonometric functions. You will also know what special angles there are and what the trigonometric values for these special angles are.

Properties of Inverse Trigonometric Functions

5. Properties of Inverse Trigonometric Functions

After watching this video lesson, you will understand why our inverse trigonometric functions have a limited range. Learn what this does. Also learn the notation for these functions.

The Pythagorean Theorem: Practice and Application

6. The Pythagorean Theorem: Practice and Application

The Pythagorean theorem is one of the most famous geometric theorems. Written by the Greek mathematician Pythagoras, this theorem makes it possible to find a missing side length of a right triangle. Learn more about the famous theorem here and test your understanding with a quiz.

Solving Real World Problems Using the Law of Cosines

7. Solving Real World Problems Using the Law of Cosines

After watching this video lesson, you will be able to use the law of cosines to solve real-world problems. Learn what kinds of real-world problems the law of cosines can help you solve.

Solving Real World Problems Using the Law of Sines

8. Solving Real World Problems Using the Law of Sines

After watching this video lesson, you will be able to use the law of sines to solve problems that you will encounter in the real world. Learn what kind of shape you need in order to solve your real world 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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