# Ch 31: MTEL Middle School Mathematics: Trigonometric Functions

### About This Chapter

## MTEL Middle School Mathematics: Trigonometric Functions - Chapter Summary

In this chapter we'll be taking a look at some of the basics behind trigonometric functions with our expert instructors. Our short video lessons will show you the concepts you'll need on this part of the MTEL Middle School Mathematics test, and expert instructors will walk you through some effective techniques for solving these types of problems. The Trigonometric Functions chapter includes lessons on:

- Sine and cosines
- Cotangents, secants and cosecas
- Unit circles
- Using unit circles to relate right triangles to sine and cosine
- Circular trigonometric functions
- Special right triangles
- Law of sines
- Law of cosines
- Double angle formula
- Converting between radians and degrees

By understanding the rules and definitions that surround sines, cosines, unit circles and circular trigonometric functions, you'll have a deeper understanding of the techniques used to solve these kind of trigonometric problems. With a combination of our expert-led video lessons and self-assessment quizzes, you'll be well on your way to succeeding on the MTEL Middle School Mathematics exam.

### 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. 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.

### 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.

### 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.

### 5. Practice Problems with Circular Trigonometric Functions

After watching this video lesson, you will be able to use the unit circle to help you find your answer to trig problems without making too many calculations. Watch and learn how you can find your angle in radians on the unit circle.

### 6. 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.

### 7. 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.

### 8. 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.

### 9. 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.

### 10. 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.

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### Other Chapters

Other chapters within the MTEL Mathematics (Middle School)(47): Practice & Study Guide course

- MTEL Middle School Mathematics: Number Structure
- MTEL Middle School Mathematics: Absolute Value
- MTEL Middle School Mathematics: Math Properties
- MTEL Middle School Mathematics: Concept of Equality
- MTEL Middle School Mathematics: Operations
- MTEL Middle School Mathematics: Introduction to Fractions
- MTEL Middle School Mathematics: Operations with Fractions
- MTEL Middle School Mathematics: Decimals
- MTEL Middle School Mathematics: Percent
- MTEL Middle School Mathematics: Ratios, Proportions & Rate of Change
- MTEL Middle School Mathematics: Estimating
- MTEL Middle School Mathematics: Real Numbers
- MTEL Middle School Mathematics: Exponents
- MTEL Middle School Mathematics: Number Properties
- MTEL Middle School Mathematics: Roots & Powers
- MTEL Middle School Mathematics: Algebra Basics
- MTEL Middle School Mathematics: Principles of Algebra
- MTEL Middle School Mathematics: Functions
- MTEL Middle School Mathematics: Linear Equations
- MTEL Middle School Mathematics: Polynomials
- MTEL Middle School Mathematics: Quadratic Equations
- MTEL Middle School Mathematics: Vectors in Linear Algebra
- MTEL Middle School Mathematics: Matrices in Linear Algebra
- MTEL Middle School Mathematics: Patterns
- MTEL Middle School Mathematics: Measurement
- MTEL Middle School Mathematics: History of Geometry
- MTEL Middle School Mathematics: Properties & Theorems of Geometry
- MTEL Middle School Mathematics: Principles of Geometry
- MTEL Middle School Mathematics: Pre-Calculus Geometry
- MTEL Middle School Mathematics: Area, Perimeter & Volume
- MTEL Middle School Mathematics: Trigonometric Graphs
- MTEL Middle School Mathematics: Solving Trigonometric Equations
- MTEL Middle School Mathematics: Trigonometric Identities
- MTEL Middle School Mathematics: Trigonometric Applications
- MTEL Middle School Mathematics: Data
- MTEL Middle School Mathematics: Probability & Statistics
- MTEL Middle School Mathematics: Probability & Science
- MTEL Middle School Mathematics: Calculating Probability & Statistics
- MTEL Middle School Mathematics: Logic
- MTEL Mathematics (Middle School) Flashcards