f (θ) = sin θ and g (θ) = cos θ. Find the exact value of each function below if θ = 60 degrees.

Question

f (θ) = sin θ and g (θ) = cos θ. Find the exact value of each function below if θ = 60^o. Do not use a calculator.

f (2θ)

Answer 1

Step 1:

The trigonometric functions are and .

Find , where .

                               ( Since )

Use double - angle formula : .

Substitute in above expression.

         

Solution :

.