Question

Find the rectangular coordinates of the point with the polar coordinates ordered pair negative 7 comma 5 pi divided by 3.

Answer 1

$\bf \begin{array}{clclll} (-7&,&\frac{5\pi }{3})\\ \uparrow &&\uparrow \\ r&&\theta \end{array}\qquad \begin{array}{clclll} (x&,&y)\\ \downarrow &&\downarrow \\ r\cdot cos(\theta)&&r\cdot sin(\theta) \end{array}$

so.. to get the x,y coordinates, or rectangular ones, get the cosine and sine of that angle, and multiply it times the "r"adius