# Ch 45: NES Math: Solving Trigonometric Equations

### About This Chapter

## NES Math: Solving Trigonometric Equations - Chapter Summary

Use this chapter's lessons to refresh your understanding of solving various types of trigonometric equations. Our short videos, multiple-choice quizzes and other study tools will help you prepare for NES Math exam questions on topics including:

- Ways to solving trigonometric equations for X
- Solving trigonometric equations with inverses and identities
- Inverse trigonometric functions
- How to solve trigonometric equations with restricted domains
- Solving trigonometric equations with infinite solutions

Our instructors have created lively video lessons, about five minutes long on average, that help you prepare for the NES Math exam. You can track your study progress through the Dashboard feature, and use the message board to contact the instructors if you have questions. In addition to the online features, we provide a sheet of quiz questions that you can print out and use for study when you don't have Internet access.

### NES Math: Solving Trigonometric Equations Chapter Objectives

Passing the NES Math exam is one of the requirements for obtaining a teaching certificate in the subject in several states. The exam consists of 150 multiple-choice questions, divided into five content domains. Material covered in this chapter's lessons is represented in the exam's Trigonometry and Calculus content domain, which accounts for 19% of the exam's total scoring.

Because they are computer-delivered and multiple-choice, the lesson quizzes and the chapter tests in this study guide offer good practice in answering questions like you'll find on the NES Math exam. Our tests also show you where you need additional study, and you can use the links in the quiz answer keys to jump back to specific points in the lesson for review.

### 1. 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.

### 2. 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.

### 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.

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### Other Chapters

Other chapters within the NES Mathematics (304): Practice & Study Guide course

- NES Math: Properties of Real Numbers
- NES Math: Fractions
- NES Math: Decimals & Percents
- NES Math: Ratios & Proportions
- NES Math: Units of Measure & Conversions
- NES Math: Logic
- NES Math: Reasoning
- NES Math: Vector Operations
- NES Math: Matrix Operations & Determinants
- NES Math: Exponents & Exponential Expressions
- NES Math: Algebraic Expressions
- NES Math: Linear Equations
- NES Math: Inequalities
- NES Math: Absolute Value
- NES Math: Quadratic Equations
- NES Math: Polynomials
- NES Math: Rational Expressions
- NES Math: Radical Expressions
- NES Math: Systems of Equations
- NES Math: Complex Numbers
- NES Math: Functions
- NES Math: Piecewise Functions
- NES Math: Exponential & Logarithmic Functions
- NES Math: Continuity of Functions
- NES Math: Limits
- NES Math: Rate of Change
- NES Math: Derivative Rules
- NES Math: Graphing Derivatives
- NES Math: Applications of Derivatives
- NES Math: Area Under the Curve & Integrals
- NES Math: Integration Techniques
- NES Math: Applications of Integration
- NES Math: Foundations of Geometry
- NES Math: Geometric Figures
- NES Math: Properties of Triangles
- NES Math: Triangle Theorems & Proofs
- NES Math: Parallel Lines & Polygons
- NES Math: Quadrilaterals
- NES Math: Circles & Arc of a Circle
- NES Math: Conic Sections
- NES Math: Geometric Solids
- NES Math: Analytical Geometry
- NES Math: Trigonometric Functions
- NES Math: Trigonometric Graphs
- NES Math: Trigonometric Identities
- NES Math: Sequences & Series
- NES Math: Graph Theory
- NES Math: Set Theory
- NES Math: Statistics Overview
- NES Math: Summarizing Data
- NES Math: Tables, Plots & Graphs
- NES Math: Probability
- NES Math: Discrete Probability Distributions
- NES Math: Continuous Probability Distributions
- NES Math: Sampling
- NES Math: Regression & Correlation
- NES Mathematics Flashcards