Ch 43: NMTA Math: Trigonometric Functions

About This Chapter

Use these lessons to brush up on basic functions of trigonometry, including sine and cosine, as you get ready for the NMTA Math exam. These videos and quizzes can help you tackle these types of questions on the exam.

NMTA Math: Trigonometric Functions - Chapter Summary

In this chapter, you can review functions of trigonometry, including the Pythagorean Theorem, cotangent and secant as well as the laws of sines and cosines. The videos will help you prepare for questions on the following when you take the NMTA Math examination:

  • Understanding sine, cosine, cotangent, secant and cosecant
  • Utilizing the Pythagorean theorem
  • Describing trigonometric ratios and similarity
  • Working with unit circles
  • Solving right triangles
  • Applying the laws of sines and cosines
  • Using the double angle formula

These lessons let you refresh your knowledge of topics you may not have studied for a while. You can complete the chapter at your own pace, at home or anywhere you have access to a mobile device.

Objectives of the NMTA Math: Trigonometric Functions Chapter

New Mexico requires passage of the NMTA Math exam of everyone seeking certification to teach the subject. The material outlined in the Trigonometric Functions chapter is in the exam's subarea on trigonometry and calculus, which makes up 19% of the total exam.

The questions on the exam are multiple-choice, and the exam is delivered on computer. You have the opportunity to practice answering questions in this format with the quizzes that accompany each of our lessons. These quizzes also let you see where you might need some extra study.

11 Lessons in Chapter 43: NMTA 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.

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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