# Ch 36: CUNY Assessment Test in Math: Trigonometric Identities

### About This Chapter

## CUNY Assessment Test in Math: Trigonometric Identities - Chapter Summary

Use this chapter's lesson to review information about the uses of trigonometric identifies. Our videos can help you prepare for CUNY Assessment Test in Math questions on topics including:

- Basic trig identities and their alternate forms
- Pythagorean identities
- Reciprocal identities
- Double- and half-angle identities
- Product-to-sum and sum-to-product identities
- How to verify a trigonometric equation identity
- Method of applying the sum and difference identities

Our instructors know what's required to succeed on the CUNY Assessment Test in Math and have developed engaging lessons, enlivened with animations and examples, to help you prepare. Short lesson quizzes and a chapter exam let you assess your knowledge. You can watch these videos on a computer or mobile device and our personal Dashboard helps you keep up with your progress through the lessons and quizzes as you get ready for the test.

### CUNY Assessment Test in Math: Trigonometric Identities Chapter Objectives

CUNY has its new students take the Assessment Test in Math to determine if they can enroll in college-level courses or if remedial instruction is needed. The test has four sections, including one on trigonometry. All assessment test questions are multiple choice, and the test is computer delivered. Our study guide's lesson quizzes and the chapter exam are in this same format, so completing them can give you a good idea of what you'll encounter on CUNY test day.

### 1. Trigonometric Identities: Definition & Uses

After watching this video lesson, you will understand what a trigonometric identity is. You will also know the different kinds of identities you will come across.

### 2. List of the Basic Trig Identities

There are specific trig functions that have very special and very simple relationships with each other. Learn the main one and how you can use it to understand the others.

### 3. Alternate Forms of Trigonometric Identities

After watching this video lesson, you will know some of the alternate forms of the basic trigonometric identities. You will also learn how to use these alternate forms.

### 4. Pythagorean Identities: Uses & Applications

After watching this video lesson, you will be able to spot the Pythagorean identities when you see them. You will also learn how these identities can help you solve more complicated trig problems.

### 5. Reciprocal Identities: Uses & Applications

Trigonometry is full of identities, a set of which are called the reciprocal identities. Watch this video lesson to learn what they are and how you can use them to help you solve problems.

### 6. Double-Angle Identities: Uses & Applications

Watch this video lesson to learn how you can use the double-angle identities in trigonometry to help you prove and solve more complicated trigonometry problems.

### 7. Half-Angle Identities: Uses & Applications

After watching this video lesson, you will be able to use half-angle identities to help you simplify your trig problems and also to help you prove other trig statements.

### 8. Product-to-Sum Identities: Uses & Applications

After watching this video lesson, you will know what the four product-to-sum identities are. You will also know how they are used. You will also see two examples of problems.

### 9. Sum-to-Product Identities: Uses & Applications

In this video lesson, you will learn about the four sum-to-product identities for the sine and cosine functions. Learn how to go from the sum or subtraction of two functions to the product of two functions along with the two angles.

### 10. Verifying a Trigonometric Equation Identity

Watch this video lesson to learn how you can use your basic definitions and identities to help you prove a trigonometric equation identity. Learn what is involved and what to do for a successful answer.

### 11. Applying the Sum & Difference Identities

Watch this video lesson to learn the six sum and difference identities for the trig functions of sine, cosine, and tangent. Also, learn how you can use them to your advantage when solving tough trig problems.

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### Other Chapters

Other chapters within the CUNY Assessment Test in Math: Practice & Study Guide course

- CUNY Assessment Test in Math: Basic Arithmetic Operations
- CUNY Assessment Test in Math: Properties of Numbers
- CUNY Assessment Test in Math: Number Theory
- CUNY Assessment Test in Math: Factoring
- CUNY Assessment Test in Math: Estimating & Rounding
- CUNY Assessment Test in Math: Whole Numbers
- CUNY Assessment Test in Math: Negative Numbers
- CUNY Assessment Test in Math: Integers
- CUNY Assessment Test in Math: Introduction to Decimals
- CUNY Assessment Test in Math: Operations with Decimals
- CUNY Assessment Test in Math: Introduction to Fractions
- CUNY Assessment Test in Math: Operations with Fractions
- CUNY Assessment Test in Math: Percents
- CUNY Assessment Test in Math: Ratios & Proportions
- CUNY Assessment Test in Math: Averages
- CUNY Assessment Test in Math: Probability
- CUNY Assessment Test in Math: Logic
- CUNY Assessment Test in Math: Matrix Operations & Determinants
- CUNY Assessment Test in Math: Exponents & Exponential Expressions
- CUNY Assessment Test in Math: Algebraic Expressions
- CUNY Assessment Test in Math: Linear Equations
- CUNY Assessment Test in Math: Inequalities
- CUNY Assessment Test in Math: Absolute Value
- CUNY Assessment Test in Math: Quadratic Equations
- CUNY Assessment Test in Math: Polynomials
- CUNY Assessment Test in Math: Rational Expressions
- CUNY Assessment Test in Math: Radical Expressions
- CUNY Assessment Test in Math: Systems of Equations
- CUNY Assessment Test in Math: Complex Numbers
- CUNY Assessment Test in Math: Functions
- CUNY Assessment Test in Math: Analytical Geometry
- CUNY Assessment Test in Math: Sequences & Series
- CUNY Assessment Test in Math: Using Trigonometric Functions
- CUNY Assessment Test in Math: Trigonometric Graphs
- CUNY Assessment Test in Math: Solving Trigonometric Equations
- CUNY Assessment Test in Math Flashcards