Question

The measure of angle t is 60 degrees. What is the x-coordinate of the point where the terminal side intersects the unit circle? One-half StartFraction StartRoot 2 EndRoot Over 2 EndFraction StartFraction StartRoot 3 EndRoot OVer 2 EndFraction

Answer 1

(a) 1/2

Explanation:

The coordinates of the point of intersection of the terminal side of angle α with the unit circle are ...

(x, y) = (cos(α), sin(α))

When α = 60°, the x-coordinate of the terminal point is cos(60°) = 1/2.