# Trigonometry Examples

,

Step 1

To find the value of , use the fact that then substitute in the known values.

Step 2

Step 2.1

Multiply the numerator by the reciprocal of the denominator.

Step 2.2

Multiply by .

Step 3

To find the value of , use the fact that then substitute in the known values.

Step 4

Step 4.1

Multiply the numerator by the reciprocal of the denominator.

Step 4.2

Multiply by .

Step 5

To find the value of , use the fact that then substitute in the known values.

Step 6

Step 6.1

Multiply the numerator by the reciprocal of the denominator.

Step 6.2

Cancel the common factor of .

Step 6.2.1

Cancel the common factor.

Step 6.2.2

Rewrite the expression.

Step 6.3

Combine and .

Step 7

To find the value of , use the fact that then substitute in the known values.

Step 8

Step 8.1

Multiply the numerator by the reciprocal of the denominator.

Step 8.2

Multiply by .

Step 9

The trig functions found are as follows: