Ch 43: TExMaT Master Mathematics Teacher 8-12: Trigonometric Functions

About This Chapter

As you prepare to take the TExMaT Master Mathematics Teacher 8-12 assessment, watch short video lessons to refresh your knowledge of trigonometric functions. You can also take lesson quizzes and a chapter exam to test your comprehension of the materials.

TExMaT Master Mathematics Teacher 8-12: Trigonometric Functions - Chapter Summary

The engaging video lessons in this chapter are designed to strengthen your understanding of trigonometric functions. Using this approach to learning can help you prepare to take the TExMaT Master Mathematics Teacher 8-12 assessment by ensuring you can answer questions on the exam that addressing the following:

  • Defining sine, cosine and the Pythagorean theorem
  • Examining cotangent, secant and consecant
  • Understanding trigonometric ratios and similarity
  • Describing how to use unit circles to relate right triangles to sine and cosine
  • Solving right triangles and identifying types of special right triangles
  • Explaining how to use sine to find the area of a triangle
  • Defining the law of sines and consines

Instructors in the video lessons present the materials in a comprehensive, yet easy-to-understand format that makes preparing for the exam simple. The videos are also visually entertaining, which ensures the learning process is fun.

TExMaT Master Mathematics Teacher 8-12: Trigonometric Functions Chapter Objectives

The topics covered in this TExMaT Master Mathematics Teacher 8-12: Trigonometric Functions chapter are located in the precalculus and calculus portion of the TExMaT Master Mathematics Teacher 8-12 test, which constitutes approximately 16% of the total exam. The test is designed to gauge how well you understand mathematics to ensure you're prepared to acquire your Master Mathematics teacher certification in Texas and teach the subject in the 8-12 public school classroom.

To help you meet these goals, you can watch the engaging video lessons on this chapter and review video transcripts, both of which are designed to strengthen your knowledge of trigonometric functions. You can also take lesson quizzes to gauge your readiness to take the exam and give you access to questions similar to those you will encounter on test day. The test is made up of 90 multiple-choice questions and one constructed-response case study.

11 Lessons in Chapter 43: TExMaT Master Mathematics Teacher 8-12: Trigonometric Functions
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.

Trigonometry and the Pythagorean Theorem

2. Trigonometry and the Pythagorean Theorem

Explore how the Pythagorean Theorem can be used in conjunction with trigonometric functions. In this lesson, take an inverse trigonometric function, and define all three sides of a right triangle.

Other Trigonometric Functions: Cotangent, Secant & Cosecant

3. 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.

Trigonometric Ratios and Similarity

4. Trigonometric Ratios and Similarity

Where do terms like sine, cosine and tangent come from? In this lesson, we'll learn about how similarity with right triangles leads to trigonometric ratios.

Unit Circle: Memorizing the First Quadrant

5. 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

6. 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

7. 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

8. 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

9. 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

10. 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

11. 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.

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 TExMaT Master Mathematics Teacher 8-12 (089): Practice & Study Guide course

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