Give the rectangular coordinates for each of the following polar coordinates

Question

(1/2,π/4) = ?

(π,π)

Answer 1

r = 1/2

angle = pi/4 = 45 degrees

x = rcos(angle) = .5cos(pi/4) = .5 *sqrt(2)/2 = about .354

y = rsin(angle)=.5sin(pi/4) = .5 * sqrt(2)/2 = about .354