Determine the point (x,y) on the unit circle associated with the following real number s. Write the exact answer as an ordered pair. Do not round.

Question

s=300°

Answer 1

For an angle s on the unit circle, x = cos (s) and y = sin (s).

s = 300° is in the 4^th quadrant so x = cos (300°) is positive and y = sin (300°) is negative.

s = 300° is 60° away from the x-axis, so our reference angle in the 1^st quadrant is 60°.

x = cos (300°) = cos (60°) = 1/2

y = sin (300°) = –sin (60°) = –√3/2

So our answer is

(x,y) = (1/2,–√3/2)