Ch 20: Functions in Trigonometry: Homeschool Curriculum

About This Chapter

The Functions in Trigonometry unit of this High School Precalculus Homeschool course is designed to help homeschooled students learn how to use trigonometric functions. Parents can use the short videos to introduce topics, break up lessons and keep students engaged.

Who's it for?

This unit of our High School Precalculus Homeschool course will benefit any student who is trying to learn how to solve trigonometric functions. There is no faster or easier way to about functions in trigonometry. Among those who would benefit are:

  • Students who require an efficient, self-paced course of study to learn the laws of sines and cosines, conversions between radians and degrees, the double-angle formula, and values of special angles.
  • Homeschool parents looking to spend less time preparing lessons and more time teaching.
  • Homeschool parents who need a mathematics curriculum that appeals to multiple learning types (visual or auditory).
  • Gifted students and students with learning differences.

How it works:

  • Students watch a short, fun video lesson that covers a specific unit topic.
  • Students and parents can refer to the video transcripts to reinforce learning.
  • Short quizzes and a Functions in Trigonometry unit exam confirm understanding or identify any topics that require review.

Functions in Trigonometry Unit Objectives:

  • Explore cotangent, secant and cosecant.
  • Discover the types and properties of special right triangles.
  • Memorize the first quadrant of a unit circle.
  • Learn to use the double angle formula.
  • Define the law of cosines.
  • Find the trigonometric functions for sine, cosine and tangent.
  • Explain how to graph tangents.

11 Lessons in Chapter 20: Functions in Trigonometry: Homeschool Curriculum
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.

Other Trigonometric Functions: Cotangent, Secant & Cosecant

2. Other Trigonometric Functions: Cotangent, Secant & Cosecant

After watching this video lesson, you will understand how the trigonometric functions cotangent, secant, and cosecant are related to the sine, cosine, and tangent functions.

Unit Circle: Memorizing the First Quadrant

3. 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

4. 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.

Practice Problems with Circular Trigonometric Functions

5. Practice Problems with Circular Trigonometric Functions

After watching this video lesson, you will be able to use the unit circle to help you find your answer to trig problems without making too many calculations. Watch and learn how you can find your angle in radians on the unit circle.

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.

Trigonometric Function Values of Special Angles

7. 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.

Law of Sines: Definition and Application

8. 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

9. 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

10. 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

11. 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.

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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Other Chapters

Other chapters within the High School Precalculus: Homeschool Curriculum course

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