### All High School Math Resources

## Example Questions

### Example Question #1 : Solving Trigonometric Equations

If , find .

**Possible Answers:**

0

-1

1

-2

2

**Correct answer:**

2

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 : Solving Trigonometric Equations

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

**Possible Answers:**

**Correct answer:**

For this problem we will use the sine function as .

Plug in our given information:

### Example Question #3 : Solving Trigonometric Equations

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

**Possible Answers:**

**Correct answer:**

For this problem we will use the cosine function as .

Plug in our given information:

### Example Question #4 : Solving Trigonometric Equations

In a right triangle, if

and

then what does equal?

**Possible Answers:**

**Correct answer:**

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 : Solving Trigonometric Equations

If , find the value of the function .

**Possible Answers:**

1

**Correct answer:**

We can write:

We can also write:

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