# Ch 38: MTTC Math (Secondary): Solving Trigonometric Equations

### About This Chapter

## MTTC Math (Secondary): Solving Trigonometric Equations - Chapter Summary

Designed to bring to mind much of what you've already learned about trigonometric equations, this chapter's videos allow you to brush up on various methods for simplifying equations through inverse operations. You can also recall how to use notation to write inverse trigonometric functions. As you get set for the MTTC Math (Secondary) examination, this chapter's online videos might assist you with:

- Using trigonometric inverses and identities
- Solving trigonometric equations for x
- Finding the properties of inverse trigonometric functions
- Understanding trigonometric equations with restricted domains and infinite solutions
- Writing sinusoidal functions

Let this chapter's instructor-delivered video lessons refresh your memory of these topics and prepare you to take the MTTC Math (Secondary) examination. There are video tags that can be used to quickly locate information. You'll also find written transcripts of the lessons. Each of the videos concludes with a brief self-assessment quiz. You should also take the multiple-choice chapter examination.

### MTTC Math (Secondary) Solving Trigonometric Equations Objectives

Everything you review about trigonometric functions in this chapter could be useful when you are taking the 'Patterns, Algebraic Relationships and Functions' portion of the MTTC Math (Secondary) examination. The equivalent of 28% of the whole score, the section may require you to display your thorough understanding of the applications and properties of trigonometric equations and more.

Consisting of 80 multiple-choice questions, the examination is administered on paper or on a computer. There is a four-hour and 30 minute time limit on the paper-based examination. If you test by computer, you'll have up to two hours and 30 minutes to answer the questions and potentially qualify for a mathematics teaching certification.

### 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 MTTC Mathematics (Secondary) (022): Practice & Study Guide course

- MTTC Math (Secondary): Reasoning & Problem Solving
- MTTC Math (Secondary): Basic Arithmetic
- MTTC Math (Secondary): Absolute Value
- MTTC Math (Secondary): Integers
- MTTC Math (Secondary): Introduction to Fractions
- MTTC Math (Secondary): Operations with Fractions
- MTTC Math (Secondary): Introduction to Decimals
- MTTC Math (Secondary): Operations with Decimals
- MTTC Math (Secondary): Percents
- MTTC Math (Secondary): Estimating & Rounding
- MTTC Math (Secondary): Rational & Irrational Numbers
- MTTC Math (Secondary): Complex Numbers
- MTTC Math (Secondary): Properties of Real Numbers
- MTTC Math (Secondary): Exponents & Exponential Expressions
- MTTC Math (Secondary): Roots & Radical Expressions
- MTTC Math (Secondary): Scientific Notation
- MTTC Math (Secondary): Number Theory
- MTTC Math (Secondary): Ratios & Rates
- MTTC Math (Secondary): Proportions
- MTTC Math (Secondary): Vectors, Matrices & Determinants
- MTTC Math (Secondary): Sequences
- MTTC Math (Secondary): Series
- MTTC Math (Secondary): Factoring
- MTTC Math (Secondary): Properties of Functions
- MTTC Math (Secondary): Graphing Functions
- MTTC Math (Secondary): The Coordinate Graph & Graph Symmetry
- MTTC Math (Secondary): Linear Equations
- MTTC Math (Secondary): Systems of Equations
- MTTC Math (Secondary): Inequalities
- MTTC Math (Secondary): Quadratic Equations
- MTTC Math (Secondary): Working with Quadratic Equations
- MTTC Math (Secondary): Polynomial Functions
- MTTC Math (Secondary): Higher-Degree Polynomial Functions
- MTTC Math (Secondary): Piecewise Functions
- MTTC Math (Secondary): Rational Expressions & Functions
- MTTC Math (Secondary): Exponential & Logarithmic Functions
- MTTC Math (Secondary): Trigonometric Functions
- MTTC Math (Secondary): Limits
- MTTC Math (Secondary): Continuity of a Function
- MTTC Math (Secondary): Rate of Change & Derivatives
- MTTC Math (Secondary): Calculating Derivatives & Derivative Rules
- MTTC Math (Secondary): Graphing Derivatives & L'Hopital's Rule
- MTTC Math (Secondary): Applications of Derivatives
- MTTC Math (Secondary): Area Under the Curve & Integrals
- MTTC Math (Secondary): Integration & Integration Techniques
- MTTC Math (Secondary): Integration Applications
- MTTC Math (Secondary): Differential Equations
- MTTC Math (Secondary): Units & Systems of Measurement
- MTTC Math (Secondary): Perimeter & Area
- MTTC Math (Secondary): Polyhedrons & Geometric Solids
- MTTC Math (Secondary): Symmetry, Similarity & Congruence
- MTTC Math (Secondary): Points, Lines & Angles
- MTTC Math (Secondary): Triangles
- MTTC Math (Secondary): Triangle Theorems & Proofs
- MTTC Math (Secondary): Similar Triangles & Polygons
- MTTC Math (Secondary): The Pythagorean Theorem
- MTTC Math (Secondary): Quadrilaterals
- MTTC Math (Secondary): Circles
- MTTC Math (Secondary): Circular Arcs & Measurement
- MTTC Math (Secondary): Conic Sections
- MTTC Math (Secondary): Polar Coordinates & Parametric Equations
- MTTC Math (Secondary): Transformations
- MTTC Math (Secondary): Types of Graphs, Tables, & Data
- MTTC Math (Secondary): Data & Statistics
- MTTC Math (Secondary): Collecting & Analyzing Data
- MTTC Math (Secondary): Samples & Populations in Research
- MTTC Math (Secondary): Probability
- MTTC Math (Secondary): Discrete & Finite Math
- MTTC Mathematics (Secondary) Flashcards