Answer
($-\frac{1}{2}$,$-\frac{\sqrt 3}{2}$)
cos($\frac{4\pi}{3}$) = $-\frac{1}{2}$
sin($\frac{4\pi}{3}$) = $-\frac{\sqrt 3}{2}$
tan($\frac{4\pi}{3}$) = $\sqrt 3$
Work Step by Step
Using the unit circle when t = $\frac{4\pi}{3}$,
The (x,y) point is ($-\frac{1}{2}$,$-\frac{\sqrt 3}{2}$)
Using the coordinate points:
cos($\frac{4\pi}{3}$) = $-\frac{1}{2}$
sin($\frac{4\pi}{3}$) = $-\frac{\sqrt 3}{2}$
tan($\frac{4\pi}{3}$) = $\sqrt 3$
