Ch 11: Trigonometry: Help and Review

About This Chapter

The Trigonometry chapter of this Precalculus Help and Review course is the simplest way to master trigonometry. This chapter uses simple and fun videos that are about five minutes long, plus lesson quizzes and a chapter exam to ensure students learn the essentials of trigonometry.

Who's it for?

Anyone who needs help learning or mastering precalculus material will benefit from taking this course. There is no faster or easier way to learn precalculus. Among those who would benefit are:

  • Students who have fallen behind in understanding trigonometry
  • Students who struggle with learning disabilities or learning differences, including autism and ADHD
  • Students who prefer multiple ways of learning math (visual or auditory)
  • Students who have missed class time and need to catch up
  • Students who need an efficient way to learn about trigonometry
  • Students who struggle to understand their teachers
  • Students who attend schools without extra math learning resources

How it works:

  • Find videos in our course that cover what you need to learn or review.
  • Press play and watch the video lesson.
  • Refer to the video transcripts to reinforce your learning.
  • Test your understanding of each lesson with short quizzes.
  • Verify you're ready by completing the Trigonometry chapter exam.

Why it works:

  • Study Efficiently: Skip what you know, review what you don't.
  • Retain What You Learn: Engaging animations and real-life examples make topics easy to grasp.
  • Be Ready on Test Day: Use the Trigonometry chapter exam to be prepared.
  • Get Extra Support: Ask our subject-matter experts any trigonometry question. They're here to help!
  • Study With Flexibility: Watch videos on any web-ready device.

Students will review:

In this chapter, you'll find the answers to questions including:

  • How do I graph sine and cosine?
  • How do I graph sine and cosine transformations?
  • What steps do I follow to graph the tangent function?
  • How do I use unit circles to relate right triangles to sine and cosine?
  • What are the types and properties of special right triangles?
  • What is the law of sines, and how do I apply it?
  • What is the law of cosines, and how do I apply it?
  • How do I use the double angle formula?
  • How do I convert between radians and degrees?
  • What steps do I follow to solve trigonometric equations for X?
  • What are some basic trigonometry identities?

12 Lessons in Chapter 11: Trigonometry: Help and Review
Test your knowledge with a 30-question chapter practice test
Graphing Sine and Cosine

1. Graphing Sine and Cosine

Sine and cosine aren't just for triangles; they can also be waves. See them graphed on the unit circle and then learn how that translates into the sine and cosine waves.

Graphing Sine and Cosine Transformations

2. Graphing Sine and Cosine Transformations

What happens when we take the sine and cosine wave and transform them? They get bigger, smaller, faster and slower. Find out how in this lesson on sine and cosine wave transformations.

Graphing the Tangent Function: Amplitude, Period, Phase Shift & Vertical Shift

3. Graphing the Tangent Function: Amplitude, Period, Phase Shift & Vertical Shift

Take a look at how the graph of a tangent function and how we can transform it by making a few small changes to its equation. This video shows how to graph the original function and explains its transformations.

Unit Circle: Memorizing the First Quadrant

4. Unit Circle: Memorizing the First Quadrant

Memorizing the unit circle can be a daunting task, but this lesson will show you a pattern to help you memorize the points, degree measures, and radian measures for the entire first quadrant.

Using Unit Circles to Relate Right Triangles to Sine & Cosine

5. Using Unit Circles to Relate Right Triangles to Sine & Cosine

The unit circle is a helpful tool for understanding trigonometric concepts. In this lesson, we'll look at right triangles on the unit circle to better grasp sine and cosine.

Special Right Triangles: Types and Properties

6. Special Right Triangles: Types and Properties

Not all right triangles are the same. In this lesson, we'll look at two special right triangles (30-60-90 and 45-45-90) that have unique properties to help you quickly and easily solve certain triangle problems.

Law of Sines: Definition and Application

7. Law of Sines: Definition and Application

Don't get stuck trying to find missing sides or angles in a triangle. Use the Law of Sines to rescue you from any perilous triangle in which you have just a few pieces of information.

Law of Cosines: Definition and Application

8. Law of Cosines: Definition and Application

In this lesson, we'll learn how to solve problems involving three sides and one angle in a triangle. The Law of Cosines, a modification of the Pythagorean Theorem, will save the day.

The Double Angle Formula

9. The Double Angle Formula

When you encounter a doubled angle, there are special formulas that can help you handle trigonometric value. In this lesson, we'll define and practice using the double angle formulas for sine, cosine and tangent.

Converting Between Radians and Degrees

10. Converting Between Radians and Degrees

Angles can be measured in degrees or radians. This lesson will explore the difference and provide you with a simple calculation that can be used to convert degrees into radians and radians into degrees.

How to Solve Trigonometric Equations for X

11. How to Solve Trigonometric Equations for X

Adding trigonometric functions into standard algebra equations adds complexity. Learn how to solve trigonometric equations for x and how to use inverse operations to simplify equations.

List of the Basic Trig Identities

12. 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.

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

Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Support