The Cartesian coordinates of a point are (3, −3).

Question

(a) Find polar coordinates (r, θ) of the point, where r > 0 and 0 ≤ θ < 2π.

(b) Find polar coordinates (r, θ) of the point, where r < 0 and 0 ≤ θ < 2π.

Answer 1

The point is quadrant 4 on the line y=-x; theta=7pi/2.

r=sqrt(3²+(3)²)=3sqrt(2)