Which set of polar coordinates describes the same location as the rectangular coordinates (-3,3)

The answer is (3sqrt2,135')

Apex

To convert from rectangular coordinates (x, y) to polar coordinates (r, θ), the following equations should be used:

r = sqrt (x^2 + y^2)

θ = tan^-1 (y/x)

Substituting (-3,3) accordingly to the equations, we obtain r equal to 3*sqrt (2) and θ equal to - π/4. Thus, the polar coordinates equivalent to (-3,3) is (3*sqrt (2), - π/4).