# Trigonometry : Simplifying Trigonometric Functions

## Example Questions

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### Example Question #1 : Simplifying Trigonometric Functions

Simplify the following trionometric function:

Explanation:

To solve the problem, you need to know the following information:

Replace the trigonometric functions with these values:

### Example Question #1 : Simplifying Trigonometric Functions

Simplify the following trigonometric function in fraction form:

Explanation:

To determine the value of the expression, you must know the following trigonometric values:

Replacing these values, we get:

Explanation:

### Example Question #4 : Simplifying Trigonometric Functions

Simplify the following expression:

Explanation:

We need to use the following identities:

Use these to simplify the expression as follows:

### Example Question #5 : Simplifying Trigonometric Functions

Give the value of :

Explanation:

Plug these values in:

### Example Question #6 : Simplifying Trigonometric Functions

If , solve for

Explanation:

Substitute into the expression:

### Example Question #7 : Simplifying Trigonometric Functions

If , give the value of :

Explanation:

Now substitute into the expression:

### Example Question #8 : Simplifying Trigonometric Functions

Simplify the following expression:

Explanation:

We need to use the following identitities:

Now substitute them into the expression:

### Example Question #9 : Simplifying Trigonometric Functions

If  and , give the value of .

Explanation:

Based on the double angle formula we have, .

### Example Question #10 : Simplifying Trigonometric Functions

If , give the value of .

Explanation:

Now we can write:

Now we can substitute the values:

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