Question

In the accompanying diagram of a unit circle, the ordered pair (x,y) represents the point where the terminal side of 0 intersects the unit circle. If 0=150, what is the value of x.
A.
B.
C.
D.

Answer 1

Answer:

Below in bold.

Step-by-step explanation:

tan 150 = -tan 30

= -1/√3 = y/x    (1)

This is a unit circle so the hypotenuse = 1.

so sin 150 = y/1 = y

y = 1/2

So substituting in equation (1)

1/2 / x =  -1/√3

-x = √3/2

x = -√3/2.