# Ch 55: MTEL Math: Graphs of Trigonometric Functions

### About This Chapter

## MTEL Math: Graphs of Trigonometric Functions - Chapter Summary

This chapter is designed to help you address graphs of trigonometric functions on the MTEL Math assessment. After taking time to review the lessons, you will have the ability to:

- Explain how to solve trigonometric equations with inverses and identities
- Demonstrate how to understand trigonometric equations for X
- Identify and describe an inverse trigonometric function's properties
- Calculate the answers to trigonometric equations with restricted domains and infinite solutions
- Describe how to identify the sinusoidal function

Benefit from a wide variety of resources that can help you study for the assessment. Lessons provide the definitions and equations you need to solve trigonometric equations, and experts are available to answer questions about any lesson topic you don't fully comprehend. Make studying for this subarea simple by using timelines below the videos in this chapter to identify and skip to key topics within the lessons. This is especially helpful if you don't have time to watch or rewatch videos in their entirety. Once you feel you've absorbed the information in a lesson, take a self-assessment quiz to test your knowledge.

### MTEL Math: Graphs of Trigonometric Functions Chapter Objectives

A primary objective of this MTEL Math: Graphs of Trigonometric Functions chapter is to improve your ability to succeed on the assessment. Lessons in this chapter cover topics found in the trigonometry, calculus and discrete mathematics subarea, which constitutes about 16% of the test.

The MTEL assessment is a subject-matter test that is taken on computer and lasts four hours and 15 minutes. It consists of 100 multiple-choice questions and two open-response assignments that are broken into six subareas. To pass, you must earn a minimum score of 240. Doing so helps you obtain the licensure required to teach math to students in Massachusetts classrooms.

### 1. Solve Trigonometric Equations with Identities & Inverses

After watching this video lesson, you will be able to solve trigonometric equations by making use of trigonometric identities and inverses. Learn the steps to take to get to your solution.

### 2. 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.

### 3. Properties of Inverse Trigonometric Functions

After watching this video lesson, you will understand why our inverse trigonometric functions have a limited range. Learn what this does. Also learn the notation for these functions.

### 4. Solving Trigonometric Equations with Restricted Domains

After watching this video lesson, you will be able to find the right answer for a trigonometric equation with a restricted domain. Learn what it means to have a restricted domain and what you need to do to find your answer.

### 5. Solving Trigonometric Equations with Infinite Solutions

Watch this video lesson and you will learn that all trigonometric equations have an infinite set of solutions. But you will also see that we can still go ahead and solve our equations and find concrete answers.

### 6. Finding the Sinusoidal Function

After watching this video lesson, you will be able to write a sinusoidal function to represent any wave that you see. Learn what parts of the function make the wave shift up, down, to the left, and to the right.

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### Other Chapters

Other chapters within the MTEL Mathematics (09): Practice & Study Guide course

- MTEL Math: Basic Arithmetic Operations
- MTEL Math: Absolute Value & Integers
- MTEL Math: Fractions
- MTEL Math: Decimals
- MTEL Math: Percents
- MTEL Math: Rates & Ratios
- MTEL Math: Proportions
- MTEL Math: Estimation
- MTEL Math: Origins of Math
- MTEL Math: Rational & Irrational Numbers
- MTEL Math: Complex Numbers
- MTEL Math: Properties of Numbers
- MTEL Math: Exponents & Exponential Expressions
- MTEL Math: Roots & Radical Expressions
- MTEL Math: Scientific Notation
- MTEL Math: Number Theory
- MTEL Math: Number Patterns & Sequences
- MTEL Math: Number Patterns & Series
- MTEL Math: Properties of Functions
- MTEL Math: Graphing Functions
- MTEL Math: Factoring
- MTEL Math: The Coordinate Graph & Symmetry
- MTEL Math: Linear Equations
- MTEL Math: Systems of Linear Equations
- MTEL Math: Vectors, Matrices & Determinants
- MTEL Math: Introduction to Quadratics
- MTEL Math: Working with Quadratic Functions
- MTEL Math: Polynomial Functions Basics
- MTEL Math: Higher-Degree Polynomial Functions
- MTEL Math: Piecewise, Absolute Value & Step Functions
- MTEL Math: Rational Expressions, Functions & Graphs
- MTEL Math: Exponential & Logarithmic Functions
- MTEL Math: Measurement
- MTEL Math: Perimeter & Area
- MTEL Math: Polyhedrons & Geometric Solids
- MTEL Math: Symmetry, Similarity & Congruence
- MTEL Math: Properties of Lines
- MTEL Math: Angles
- MTEL Math: Triangles
- MTEL Math: Triangle Theorems & Proofs
- MTEL Math: Similar Polygons
- MTEL Math: The Pythagorean Theorem
- MTEL Math: Quadrilaterals
- MTEL Math: Circles
- MTEL Math: Circular Arcs & Measurement
- MTEL Math: Analytic Geometry & Conic Sections
- MTEL Math: Polar Coordinates & Parameterization
- MTEL Math: Transformations
- MTEL Math: Data & Graphs
- MTEL Math: Statistics
- MTEL Math: Data Collection
- MTEL Math: Samples & Populations
- MTEL Math: Probability
- MTEL Math: Trigonometric Functions
- MTEL Math: Trigonometric Identities
- MTEL Math: Applications of Trigonometry
- MTEL Math: Limits
- MTEL Math: Continuity
- MTEL Math: Rate of Change
- MTEL Math: Derivative Calculations & Rules
- MTEL Math: Graphing Derivatives & L'Hopital's Rule
- MTEL Math: Area Under the Curve & Integrals
- MTEL Math: Integration Techniques
- MTEL Math: Integration Applications
- MTEL Math: Differential Equations
- MTEL Math: Discrete & Finite Math
- MTEL Mathematics Flashcards