# Trigonometry : Trigonometric Functions

## Example Questions

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### Example Question #2 : Graphs And Inverses Of Trigonometric Functions

In this figure, if angle , side , and side , what is the measure of angle ?

Undefined

Explanation:

Since , we know we are working with a right triangle.

That means that .

In this problem, that would be:

Plug in our given values:

### Example Question #1 : Trigonometric Functions

If , give the value of .

Explanation:

Use the identity .

Now we should divide both sides by :

We can use the identity   .

or

### Example Question #2 : Trigonometric Functions

If , find the value of .

Explanation:

Therefore, .

### Example Question #3 : Trigonometric Functions

If  , find the value of  .

Explanation:

### Example Question #1 : Trigonometric Functions

Find the value of the following expression:

Explanation:

We know that .

### Example Question #5 : Trigonometric Functions

If , give :

Explanation:

We need to use the identity :

### Example Question #6 : Trigonometric Functions

Give the value of .

Explanation:

We need to use the identity :

### Example Question #7 : Trigonometric Functions

Find .

Explanation:

We need to use the identity :

### Example Question #8 : Trigonometric Functions

If , give in terms of .

Explanation:

We need to use the identity .

If ,  find .