Question

find 2 polar coordinate representations for the rectangular coordinate point (-1,-rt:3), one with r>0 and one with r<0, and both with 0 is less than or equal to theta is less than or equal to 2pi

Answer 1

use
r = sqrt( x^2 + y^2) to find r
and
theta = arctan(y/x)

Answer 2

if theta is negative, subtract it from pi