Question

Find the rectangular coordinates for the point whose polar coordinates are given.
(6, 15π)

Answer 1

Consider polar coordinates, similar to what is called the trig circle. To go a full length around the circle is 2 pi. (Same as 360 degrees.) So to determine what 15 pi is like simply divide by 2. Once you identify this you can determine the coordinates.

Answer 2

(x=rcospheta,y=rsinpheta)

Answer 3

=(6cos(15pi),6sin(15pi))