# Trigonometry Examples

,
Step 1
To find the value of , use the fact that then substitute in the known values.
Step 2
Simplify the result.
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
Simplify the result.
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
Simplify the result.
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
Simplify the result.
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: