# High School Math : Trigonometric Equations

## Example Questions

### Example Question #1 : Solving Trigonometric Equations

If , find .

1

-2

-1

0

2

2

Explanation:

First we need to simplify each term:    So we will have: Since we have the value of , we can divide the numerator and denominator by . We can then substitute the value of in the obtained function. ### Example Question #2 : Trigonometric Equations

A right triangle has an angle of . If the side opposite it has a length of , what is the hypotenuse?      Explanation:

For this problem we will use the sine function as .

Plug in our given information:   ### Example Question #3 : Trigonometric Equations

A right triangle has an angle of . If the side adjacent to it has a length of , what is the hypotenuse?      Explanation:

For this problem we will use the cosine function as .

Plug in our given information:   ### Example Question #4 : Trigonometric Equations

In a right triangle, if and then what does equal?      Explanation:

One can draw a right triangle with acute angles and . The side adjacent to is 4, and the side adjacent to is 3. ### Example Question #5 : Trigonometric Equations

If , find the value of the function .

1     Explanation:

We can write:     We can also write:  Now we can substitute the values of (sinx - cosx) and (sinx * cosx) in the obtained function:  