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Ch 23: Algebra II: Trigonometry Overview

About This Chapter

With these lessons, students can learn more about the tools they will need to get to grips with trigonometry. Working with this chapter can help students study for upcoming exams, prepare for discussions in class, and earn higher grades.

Algebra II: Trigonometry Overview - Chapter Summary

High school students need to read and understand a great deal of information both before they graduate and as they move on in college or the professional world. This chapter provides students with focused training on developing their knowledge of trigonometry.

Instead of an endless chapter of information, the chapter has been divided into short, individualized lessons. Students have the option to review all of the lessons in order, but they can also pick and choose lesson topics in which they need the most assistance. The chapter menu provides a list of all lessons available, and since each lesson is only focused on a single topic, students can easily find what they need. After completing this chapter, students will be ready to:

  • Graph sine and cosine transformations and the tangent function
  • Memorize the first quadrant of the unit circle
  • Use unit circles to relate right triangles to sine and cosine
  • Explain the types of special right triangles and their properties
  • Apply the double angle formula
  • Convert radians to degrees and vice versa
  • Solve trigonometric equations for X

8 Lessons in Chapter 23: Algebra II: Trigonometry Overview
Test your knowledge with a 30-question chapter practice test
Graphing Sine and Cosine Transformations

1. Graphing Sine and Cosine Transformations

The sine and cosine signal waveforms, or waves, can be transformed in multiple ways. Learn how to identify the three types of sine and cosine transformations, including amplitude, period, and phase shift, and practice graphing the transformations with sample problems.

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

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

Unlike other trigonometric functions, a tangent function can be transformed in four different ways. Learn how to graph the tangent function and to visualize and change the amplitude, period, phase shift, and vertical shift of a tangent function.

Unit Circle: Memorizing the First Quadrant

3. Unit Circle: Memorizing the First Quadrant

Memorizing the unit circle allows for calculation of its angles' trigonometric values without a calculator. Explore and memorize the unit circle's first quadrant, including its main points, and its sine, cosine, and tangent values.

Using Unit Circles to Relate Right Triangles to Sine & Cosine

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

A unit circle is a circle with a radius of 1, and a right triangle is a triangle with one right angle. Learn the trigonometric properties of right triangles and how to use unit circles to relate right triangles to sine and cosine.

Special Right Triangles: Types and Properties

5. Special Right Triangles: Types and Properties

There are two types of special right triangles that have either 30-60-90 degree angles or 45-45-90 degree angles. Learn more about the definitions and explore the properties of 30-60-90 and 45-45-90 degree angles of special right triangles through examples.

The Double Angle Formula

6. The Double Angle Formula

In trigonometry, a double angle is twice as large as a common angle. Learn how to calculate the double angle formula, explore trigonometry twins for sine, cosine, and tangent, and apply this information in practice problems using the double angle formula.

Converting Between Radians and Degrees

7. Converting Between Radians and Degrees

The two most widely used units of measure for angles are degrees and radians. Learn how to convert radians to degrees and degrees to radians using the concepts of proportion and priority.

How to Solve Trigonometric Equations for X

8. How to Solve Trigonometric Equations for X

Trigonometric functions can be simplified using their inverses and their angles can be solved within their restricted domains. Learn how to solve trigonometric equations for x using inverse operations and based on trigonometric restrictions.

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
More Exams
There are even more practice exams available in Algebra II: Trigonometry Overview.

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