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Ch 43: PLACE Mathematics: Using Trigonometric Functions

About This Chapter

Use the lessons in this chapter to refresh your trigonometric knowledge in preparation for the PLACE Mathematics exam. Our video lessons, quizzes and chapter test can help you prepare to do your best on exam day.

PLACE Mathematics: Using Trigonometric Functions - Chapter Summary

Watch our brief video lessons taught by subject-matter experts to brush up on functions related to triangles and the practical uses for trigonometry. Reading through the transcripts is another way to remember how to apply key terms you'll see on the PLACE Mathematics exam. Additional topics covered in this chapter include:

  • Sine and cosine
  • The Pythagorean theorem
  • Cotangent, secant and cosecant functions
  • Trigonometric ratios and similarity
  • Unit circles and the first quadrant
  • Right triangles and special right triangles
  • Area using sine
  • Function values of special angles
  • Law of sines and law of cosines
  • The double angle formula

Objectives of the PLACE Mathematics: Using Trigonometric Functions Chapter

Your understanding of how to relate the angles of a triangle to the sides of a triangle and other trigonometric functions may be tested within in the Measurement and Geometry section of the PLACE Mathematics exam; this section makes up 19% of the total exam. All of the questions on this test are multiple choice, and we include similar quizzes and a chapter test for you to measure your understanding of the subject as well as gain experience answering the types of questions you'll have on the exam.

11 Lessons in Chapter 43: PLACE Mathematics: Using 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 PLACE Mathematics: Practice & Study Guide course

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