Question

In the accompanying diagram of a unit circle, the ordered pair (x, y) represents the point where the terminal side of θ intersects the unit circle. If θ = 150°, what is the value of x?

Answer 1

(-
`√(3\\)`/2,1/2);(-x,y)

Explanation:

use the 1, root 3, 2 trick. 150's reference angle is 30 as q2 = 180-x


1 is the opposite here, 2 is always hypotenuse, root 3 is adjacent here

x value is based on cos = CAH
it's minus because in q2 angles are (-x,y)

hope that helps