The rectangular coordinates of a point are given. Find polar coordinates of the point such that r > 0 and 0 ≤ Ѳ < 2π.

Question

The rectangular coordinates of a point are given. Find polar coordinates of the point such that r > 0 and 0 ≤ Ѳ < 2π.

(5, -5)

Answer 1

θ = arctan(y/x) and select the so-called principal value

r = sqrt(x² + y²)