Answer
($\frac{1}{2}$,$-\frac{\sqrt 3}{2}$)
cos($\frac{5\pi}{3}$) = $\frac{1}{2}$
sin($\frac{5\pi}{3}$) = $-\frac{\sqrt 3}{2}$
tan($\frac{5\pi}{3}$) = -$\sqrt 3$
Work Step by Step
Using the unit circle when t = $\frac{5\pi}{3}$,
The (x,y) point is ($\frac{1}{2}$,$-\frac{\sqrt 3}{2}$)
Using the coordinate points:
cos($\frac{5\pi}{3}$) = $\frac{1}{2}$
sin($\frac{5\pi}{3}$) = $-\frac{\sqrt 3}{2}$
tan($\frac{5\pi}{3}$) = -$\sqrt 3$