Ch 27: MTLE Mathematics: Trigonometric Functions

About This Chapter

Use our short video lessons and self-assessment quizzes to review trigonometric functions for the MTLE Mathematics exam. You'll get up to speed in no time with the help of these fun resources.

MTLE Mathematics: Trigonometric Functions - Chapter Summary

This chapter will help you review trigonometric functions and the steps for solving various types of trigonometry problems. With our guide, you'll study sine, cosine, special right triangles, the double angle formula and many other trigonometry concepts that may appear on the MTLE Mathematics exam. You'll also review:

  • The Pythagorean theorem
  • Cotangents, secants and cosecants
  • Ratios and similarity
  • Relating right triangles to sine and cosine with unit circles
  • Trigonometric function values for special angles
  • Laws of sines and cosines
  • The Sinusoidal description of simple harmonic motion

With the help of this chapter, you'll be able to apply your knowledge of trigonometric functions when taking the MTLE Mathematics test. Like all our chapters, Trigonometric Functions is taught by expert instructors who help you review for your exam through short video lessons. These lessons come complete with accurate transcripts and video tags for easy navigation.

12 Lessons in Chapter 27: MTLE Mathematics: 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.

The Sinusoidal Description of Simple Harmonic Motion

12. The Sinusoidal Description of Simple Harmonic Motion

Watch this video to learn about simple harmonic motion. Learn the sinusoidal equations we use to solve problems of simple harmonic motion, and test your knowledge afterwards with a short quiz.

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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