Find polar coordinates r theta of the point where r gt 0

Question

The Cartesian coordinates of a point are given.

1. (4, -4)

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

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

2. (-1, √3)

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

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