precalculus hw im confsued

Question

If , then 

 =   

 = 

Answer 1

Hello Ella,

This problem is a little tricky. On the unit circle, we know the sine and cosine values for multiples of π/6, π/4, π/3, and π/2. In this problem, we look at the unit circle and find that at θ = π/3 has a point (x,y) = (1/2, √3/2). By definition, the x-value is cos(θ) and the y-value is sin(θ).

If you have any other questions, I am happy to discuss them with you.

Best,

Kevin