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Ch 43: NES Math: Trigonometric Functions

About This Chapter

Prepare for the NES Math test by reviewing information on sine, cosine, right triangles and the Pythagorean theorem with the lively lessons in this chapter. Lesson quizzes also offer a chance to refresh your knowledge prior to test day.

NES Math: Trigonometric Functions - Chapter Summary

Use the lessons in this chapter to refresh your knowledge of the basics of trigonometry as you prepare for the NES Math test. Our videos offer a review of topics including:

  • Sine and cosine
  • The Pythagorean theorem
  • Trigonometric ratios
  • Unit circles and their uses
  • How to solve right triangles
  • How to find the areas of a triangle with sine
  • Laws of sines and cosines
  • The double angle formula

You can watch these lessons whenever your schedule allows, using any sort of mobile device. Our instructors make the lessons informative and entertaining through their use of animations, examples and humor. Short lesson quizzes and a comprehensive chapter exam offer a chance to assess what you've learned, and you can print a sheet of quiz questions for offline review.

NES Math: Trigonometric Functions Chapter Objectives

In five states, passing the NES Math exam is one of the requirements for becoming certified as a mathematics teacher at the secondary level. The test is administered by computer and consists entirely of multiple-choice questions, like the lesson quizzes and chapter exam in this study guide. Our tests let you get a feel for the format you'll encounter on the NES exam and also offer a chance to evaluate your learning.

The NES Math test is divided into content domains, and the questions on the material in this chapter are in the Trigonometry and Calculus content domain. This part of the test accounts for 19% of the test's total score.

13 Lessons in Chapter 43: NES Math: 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.

Solving Right Triangles Using Trigonometry & the Pythagorean Theorem

7. Solving Right Triangles Using Trigonometry & the Pythagorean Theorem

The Pythagorean Theorem is one of the most well-known and useful math equations. Its simple form and abundant uses make it one of the most helpful processes to learn in math. In this lesson, learn how to solve right triangles using the Pythagorean Theorem.

Special Right Triangles: Types and Properties

8. 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.

Using Sine to Find the Area of a Triangle

9. Using Sine to Find the Area of a Triangle

Since you first started working with triangles in math class, chances are you've been exposed to the formula for the area of a triangle. However, that is only good if you know the height of the triangle. This lesson shows you how to get around that.

Trigonometric Function Values of Special Angles

10. 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

11. 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

12. 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

13. 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.
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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 NES Mathematics (304): Practice & Study Guide course

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