Ch 37: Understanding Trigonometry

About This Chapter

These lessons can help you understand various aspects of trigonometry, such as trigonometric identities, inverse trigonometric functions, and roots of unity. You'll find these short lessons and quizzes to be a great refresher on trigonometry and useful when studying for a test.

Understanding Trigonometry - Chapter Summary

The lessons in this chapter provide an overview of trigonometry. You'll learn about the different kinds of trigonometric identities, how to use complex numbers in polar form, what a restricted domain means, and more. After completing the chapter, you should be able to:

  • Solve trigonometric equations using trigonometric identities and inverses
  • Use inverse operations to simplify equations
  • Solve trigonometric equations with restricted domains and infinite solutions
  • Analyze the vertices, base, and height of a triangle
  • Explain why inverse trigonometric functions have a limited range
  • Combine complex numbers using addition, subtraction, and multiplication
  • Detail how roots of unity are used

For video lessons, the timelines let you easily navigate to specific topics. You can review all the lessons in order, or just look at the ones that cover the topics you need to review. A brief multiple-choice quiz is available with each lesson to test your knowledge. If you get stuck on a topic, use the Help tab to submit questions to our expert instructors.

9 Lessons in Chapter 37: Understanding Trigonometry
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.

Solve Trigonometric Equations with Identities & Inverses

2. Solve Trigonometric Equations with Identities & Inverses

After watching this video lesson, you will be able to solve trigonometric equations by making use of trigonometric identities and inverses. Learn the steps to take to get to your solution.

How to Solve Trigonometric Equations for X

3. 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.

Solving Trigonometric Equations with Restricted Domains

4. Solving Trigonometric Equations with Restricted Domains

After watching this video lesson, you will be able to find the right answer for a trigonometric equation with a restricted domain. Learn what it means to have a restricted domain and what you need to do to find your answer.

Solving Trigonometric Equations with Infinite Solutions

5. Solving Trigonometric Equations with Infinite Solutions

Watch this video lesson and you will learn that all trigonometric equations have an infinite set of solutions. But you will also see that we can still go ahead and solve our equations and find concrete answers.

Triangles: Definition and Properties

6. Triangles: Definition and Properties

What makes a shape a triangle? In this lesson, we'll explore the definition of a triangle, then analyze the parts of triangles, including the vertices, base and height.

Properties of Inverse Trigonometric Functions

7. 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.

What is a Complex Number? - Definition & Properties

8. What is a Complex Number? - Definition & Properties

Applications of complex numbers include signal processing filters in engineering and vector length calculations in physics. After defining complex numbers, this lesson explores how to combine them using addition, subtraction and multiplication.

Complex Numbers in Polar Form: Process & Examples

9. Complex Numbers in Polar Form: Process & Examples

After watching this video lesson, you will be able to convert complex numbers from rectangular form to polar form easily by following the formulas you will see here. You will also learn how to find the power of a complex number.

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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