Ch 26: Overview of Basic Trigonometry

About This Chapter

Refresh your understanding of basic trigonometry using the short lessons in this informative chapter. These mobile-friendly lessons can be used to catch up in class, prepare for a test or finish a tough homework assignment.

Overview of Basic Trigonometry - Chapter Summary

In this chapter, you'll study an overview of basic trigonometry. Our brief but informative lessons cover topics including direction cosines and ratios, as well as the calculations used to find them. You'll also look at problems that involve trig identities and circle equations. After completing this chapter, you should be able to:

  • Use the laws of cosines and sines to solve real-world problems
  • Find the equation of a circle
  • Verify a trigonometric equation identity
  • Apply the difference and sum identities
  • Derive and prove trigonometric identities

Our flexible materials are a great way to work through especially challenging trig concepts because you can take your time and work at your own pace. To go back and review just one part of a video lesson over again, use the video tabs feature in the Timeline. After completing the lessons, you can test your knowledge using the multiple-choice quizzes to ensure you're ready to move on.

7 Lessons in Chapter 26: Overview of Basic Trigonometry
Test your knowledge with a 30-question chapter practice test
Solving Real World Problems Using the Law of Cosines

1. 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

2. 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.

How to Find the Equation of a Circle

3. How to Find the Equation of a Circle

There are two commonly used forms of equations for a circle, in this lesson we'll take a few minutes to examine and understand both forms, and be able to convert from one to the other.

Verifying a Trigonometric Equation Identity

4. 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

5. 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

6. 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.

Direction Cosines & Ratios: Definition & Calculations

7. Direction Cosines & Ratios: Definition & Calculations

Direction cosines and ratios are a way to represent the direction of a 3D vector. In this lesson, learn how to calculate and understand direction cosines and ratios.

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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