### All Trigonometry Resources

## Example Questions

### Example Question #1 : Simplifying Trigonometric Functions

Simplify the following trionometric function:

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**Correct answer:**

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:

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**Correct answer:**

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

Replacing these values, we get:

### Example Question #1 : Simplifying Trigonometric Functions

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### Example Question #1 : Simplifying Trigonometric Functions

Simplify the following expression:

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**Correct answer:**

We need to use the following identities:

Use these to simplify the expression as follows:

### Example Question #1 : Simplifying Trigonometric Functions

Give the value of :

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**Correct answer:**

Plug these values in:

### Example Question #1 : Simplifying Trigonometric Functions

If , solve for

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Substitute into the expression:

### Example Question #1 : Simplifying Trigonometric Functions

If , give the value of :

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Now substitute into the expression:

### Example Question #1 : Simplifying Trigonometric Functions

Simplify the following expression:

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**Correct answer:**

We need to use the following identitities:

Now substitute them into the expression:

### Example Question #1 : Simplifying Trigonometric Functions

If and , give the value of .

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**Correct answer:**

Based on the double angle formula we have, .

### Example Question #1 : Simplifying Trigonometric Functions

If , give the value of .

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**Correct answer:**

Now we can write:

Now we can substitute the values:

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