# How do you find the exact values of sintheta and tantheta when costheta=1/2?

$\cos t = \frac{1}{2}$ --> $t = \pm \frac{\pi}{3}$
a. When $t = \frac{\pi}{3}$ -->
$\sin \left(\frac{\pi}{3}\right) = \frac{\sqrt{3}}{2}$
$\tan \left(\frac{\pi}{3}\right) = \sqrt{3}$
b. When $t = - \frac{\pi}{3}$ -->
$\sin \left(- \frac{\pi}{3}\right) = - \frac{\sqrt{3}}{2}$
$\tan \left(- \frac{\pi}{3}\right) = - \sqrt{3}$