# Ch 43: TExMaT Master Mathematics Teacher 8-12: Trigonometric Functions

### About This Chapter

## TExMaT Master Mathematics Teacher 8-12: Trigonometric Functions - Chapter Summary

The engaging video lessons in this chapter are designed to strengthen your understanding of trigonometric functions. Using this approach to learning can help you prepare to take the TExMaT Master Mathematics Teacher 8-12 assessment by ensuring you can answer questions on the exam that addressing the following:

- Defining sine, cosine and the Pythagorean theorem
- Examining cotangent, secant and consecant
- Understanding trigonometric ratios and similarity
- Describing how to use unit circles to relate right triangles to sine and cosine
- Solving right triangles and identifying types of special right triangles
- Explaining how to use sine to find the area of a triangle
- Defining the law of sines and consines

Instructors in the video lessons present the materials in a comprehensive, yet easy-to-understand format that makes preparing for the exam simple. The videos are also visually entertaining, which ensures the learning process is fun.

### TExMaT Master Mathematics Teacher 8-12: Trigonometric Functions Chapter Objectives

The topics covered in this TExMaT Master Mathematics Teacher 8-12: Trigonometric Functions chapter are located in the precalculus and calculus portion of the TExMaT Master Mathematics Teacher 8-12 test, which constitutes approximately 16% of the total exam. The test is designed to gauge how well you understand mathematics to ensure you're prepared to acquire your Master Mathematics teacher certification in Texas and teach the subject in the 8-12 public school classroom.

To help you meet these goals, you can watch the engaging video lessons on this chapter and review video transcripts, both of which are designed to strengthen your knowledge of trigonometric functions. You can also take lesson quizzes to gauge your readiness to take the exam and give you access to questions similar to those you will encounter on test day. The test is made up of 90 multiple-choice questions and one constructed-response case study.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

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### Other Chapters

Other chapters within the TExMaT Master Mathematics Teacher 8-12 (089): Practice & Study Guide course

- TExMaT Master Mathematics Teacher 8-12: Properties of Real Numbers
- TExMaT Master Mathematics Teacher 8-12: Fractions
- TExMaT Master Mathematics Teacher 8-12: Decimals & Percents
- TExMaT Master Mathematics Teacher 8-12: Ratios & Proportions
- TExMaT Master Mathematics Teacher 8-12: Measurements & Conversions
- TExMaT Master Mathematics Teacher 8-12: Reasoning & Problem Solving
- TExMaT Master Mathematics Teacher 8-12: Vector Operations
- TExMaT Master Mathematics Teacher 8-12: Matrices & Determinants
- TExMaT Master Mathematics Teacher 8-12: Exponents & Exponential Expressions
- TExMaT Master Mathematics Teacher 8-12: Algebraic Expressions
- TExMaT Master Mathematics Teacher 8-12: Linear Equations
- TExMaT Master Mathematics Teacher 8-12: Inequalities
- TExMaT Master Mathematics Teacher 8-12: Absolute Value Problems
- TExMaT Master Mathematics Teacher 8-12: Quadratic Equations
- TExMaT Master Mathematics Teacher 8-12: Polynomials
- TExMaT Master Mathematics Teacher 8-12: Rational Expressions
- TExMaT Master Mathematics Teacher 8-12: Radical Expressions
- TExMaT Master Mathematics Teacher 8-12: Systems of Equations
- TExMaT Master Mathematics Teacher 8-12: Complex Numbers
- TExMaT Master Mathematics Teacher 8-12: Functions
- TExMaT Master Mathematics Teacher 8-12: Piecewise Functions
- TExMaT Master Mathematics Teacher 8-12: Parametric Equations
- TExMaT Master Mathematics Teacher 8-12: Exponential & Logarithmic Functions
- TExMaT Master Mathematics Teacher 8-12: Continuity of Functions
- TExMaT Master Mathematics Teacher 8-12: Limits
- TExMaT Master Mathematics Teacher 8-12: Rate of Change
- TExMaT Master Mathematics Teacher 8-12: Rules for Calculating Derivatives
- TExMaT Master Mathematics Teacher 8-12: Graphing Derivatives
- TExMaT Master Mathematics Teacher 8-12: Applications of Derivatives
- TExMaT Master Mathematics Teacher 8-12: Area Under the Curve & Integrals
- TExMaT Master Mathematics Teacher 8-12: Integration Techniques
- TExMaT Master Mathematics Teacher 8-12: Integration Applications
- TExMaT Master Mathematics Teacher 8-12: Foundations of Geometry
- TExMaT Master Mathematics Teacher 8-12: Geometric Figures
- TExMaT Master Mathematics Teacher 8-12: Properties of Triangles
- TExMaT Master Mathematics Teacher 8-12: Triangle Theorems & Proofs
- TExMaT Master Mathematics Teacher 8-12: Parallel Lines & Polygons
- TExMaT Master Mathematics Teacher 8-12: Quadrilaterals
- TExMaT Master Mathematics Teacher 8-12: Circular Arcs & Circles
- TExMaT Master Mathematics Teacher 8-12: Conic Sections
- TExMaT Master Mathematics Teacher 8-12: Geometric Solids
- TExMaT Master Mathematics Teacher 8-12: Analytical Geometry
- TExMaT Master Mathematics Teacher 8-12: Trigonometric Graphs
- TExMaT Master Mathematics Teacher 8-12: Solving Trigonometric Equations
- TExMaT Master Mathematics Teacher 8-12: Trigonometric Identities
- TExMaT Master Mathematics Teacher 8-12: Sequences & Series
- TExMaT Master Mathematics Teacher 8-12: Data & Statistics
- TExMaT Master Mathematics Teacher 8-12: Summarizing Data
- TExMaT Master Mathematics Teacher 8-12: Tables & Plots
- TExMaT Master Mathematics Teacher 8-12: Probability
- TExMaT Master Mathematics Teacher 8-12: Discrete Probability Distributions
- TExMaT Master Mathematics Teacher 8-12: Continuous Probability Distributions
- TExMaT Master Mathematics Teacher 8-12: Sampling
- TExMaT Master Mathematics Teacher 8-12: Hypothesis Testing
- TExMaT Master Mathematics Teacher 8-12: Regression & Correlation
- TExMaT Master Mathematics Teacher 8-12 Flashcards