Question

Given an angle t that corresponds to the point (- 3 squared/2, 1/2) on the unit circle show

below, find cos(t) and sin(t).

Answer 1

Explanation:

Your question asks what is -
`3^(2)` / 2 but, since it's on the Unit circle, I know you meant -
`√(3)` /2 Also, it's one of those known angles on the unit circle.

note that the angles can all be put in the form of
`√(x)` / 2 , where x = 0,1,2,3,4 , for the five special points on the unit circle.

as the attached pic shows, Cos(t) for the given point would be 180-150°= 30 and sin(t) would be 90 - 30 = 60 °

it's not easy to understand how I got those angles, just ask if you don't get it. :)