How do you sketch the angle whose terminal side in standard position passes through (0,3) and how do you find sin and cos?

Apr 28, 2018

sin t = 1
cos t = 0

Explanation:

Call t the arc (or angle)
$\tan t = \frac{y}{x} = \frac{3}{0}$ --> infinity
The point (0, 3) is located on the y-axis.
Therefor, $t = \frac{\pi}{2}$
$\sin t = \sin \left(\frac{\pi}{2}\right) = 1$, and
$\cos t = \cos \left(\frac{\pi}{2}\right) = 0$