# High School Math : Applying Trigonometric Functions

## Example Questions

### Example Question #1 : Applying Trigonometric Functions

In this figure, side , and . What is the value 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 #2 : Applying Trigonometric Functions

Let ABC be a right triangle with sides  = 3 inches,  = 4 inches, and  = 5 inches. In degrees, what is the  where  is the angle opposite of side ?

Explanation:

We are looking for . Remember the definition of  in a right triangle is the length of the opposite side divided by the length of the hypotenuse.

So therefore, without figuring out  we can find

### Example Question #1 : Applying 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: