### All Trigonometry Resources

## Example Questions

### Example Question #1 : Triangles

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

**Possible Answers:**

Undefined

**Correct answer:**

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 .

**Possible Answers:**

**Correct answer:**

Explanation:

Use the identity .

Now we should divide both sides by :

We can use the identity .

or

### Example Question #1 : Trigonometric Functions And Graphs

If , find the value of .

**Possible Answers:**

**Correct answer:**

Explanation:

Therefore, .

### Example Question #1 : Trigonometric Functions

If , find the value of .

**Possible Answers:**

**Correct answer:**

Explanation:

### Example Question #1 : Trigonometric Functions And Graphs

Find the value of the following expression:

**Possible Answers:**

**Correct answer:**

Explanation:

We know that .

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

If , give :

**Possible Answers:**

**Correct answer:**

Explanation:

We need to use the identity :

### Example Question #1 : Trigonometric Functions

Give the value of .

**Possible Answers:**

**Correct answer:**

Explanation:

We need to use the identity :

### Example Question #1 : Trigonometric Functions And Graphs

Find .

**Possible Answers:**

**Correct answer:**

Explanation:

We need to use the identity :

### Example Question #1 : Trigonometric Functions And Graphs

If , give in terms of .

**Possible Answers:**

**Correct answer:**

Explanation:

We need to use the identity .

### Example Question #1 : Trigonometric Functions

If , find the value of in terms of .

**Possible Answers:**

**Correct answer:**

Explanation:

Since , we can use a double angle formula:

Substituting , we get .

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