Find the coordinates of 57pi/3.
but they're not giving me the period, how am i supposed to know?
The coordinates of any point on the unit circle corresponding to the angle $\displaystyle \theta$ are $\displaystyle (\cos\theta,\,\sin\theta).$
So how do you find the sine and cosine of $\displaystyle \frac{57\pi}3?$ Well, first you should reduce that fraction. Now what is the sine and cosine of any odd multiple of $\displaystyle \pi?$