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Ch 22: TExES Physics/Math 7-12: Trigonometry

About This Chapter

Watch these lesson videos to improve your understanding of trigonometry. Review what you know about sine, cosine, tangent functions and basic trigonometric identities as you prepare for the TExES Physics/Math 7-12 exam.

TExES Physics/Math 7-12: Trigonometry - Chapter Summary

As part of a preparation course for the TExES Physics/Mathematics 7-12 test, this chapter will help you review trigonometric operations, functions and properties. Watch expert instructors as they explain sine and cosine, properties of right triangles, trigonometric equations and trigonometric identities. After watching these lesson videos you should have a better understanding of:

  • Graphing cosine and sine transformations
  • Graphing tangent functions
  • Relating right triangles to sine and cosine with unit circles
  • Laws of sine and cosine
  • The double angle formula
  • Converting between radians and degrees
  • Solving simple trigonometric equations
  • Basic trigonometric identities

A short practice quiz can be completed after you finish each lesson to assess your grasp of the material. Be sure to ask our instructors any questions you may have via the Teacher tab before you take the TExES Physics/Mathematics 7-12 exam.

12 Lessons in Chapter 22: TExES Physics/Math 7-12: Trigonometry
Test your knowledge with a 30-question chapter practice test
Graphing Sine and Cosine Transformations

1. Graphing Sine and Cosine Transformations

What happens when we take the sine and cosine wave and transform them? They get bigger, smaller, faster and slower. Find out how in this lesson on sine and cosine wave transformations.

Graphing the Tangent Function: Amplitude, Period, Phase Shift & Vertical Shift

2. Graphing the Tangent Function: Amplitude, Period, Phase Shift & Vertical Shift

Take a look at how the graph of a tangent function and how we can transform it by making a few small changes to its equation. This video shows how to graph the original function and explains its transformations.

Unit Circle: Memorizing the First Quadrant

3. 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

4. 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

5. 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.

Law of Sines: Definition and Application

6. 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

7. 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

8. 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.

Converting Between Radians and Degrees

9. Converting Between Radians and Degrees

Angles can be measured in degrees or radians. This lesson will explore the difference and provide you with a simple calculation that can be used to convert degrees into radians and radians into degrees.

How to Solve Trigonometric Equations for X

10. How to Solve Trigonometric Equations for X

Adding trigonometric functions into standard algebra equations adds complexity. Learn how to solve trigonometric equations for x and how to use inverse operations to simplify equations.

List of the Basic Trig Identities

11. List of the Basic Trig Identities

There are specific trig functions that have very special and very simple relationships with each other. Learn the main one and how you can use it to understand the others.

Trigonometry Functions & Exponentials on the CLEP Calculator

12. Trigonometry Functions & Exponentials on the CLEP Calculator

In this lesson, review how to use the history on the CLEP calculator as we calculate sines, cosines and the inverse trigonometric functions. Finish by exploring exponentials and logarithms.

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

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