find polar coordinates

Question

(3,-3); r ≥0 and 0≤∅≤2pi

Answer 1

the underlying formula that you want to use to convert these over are

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

tan(theta) = y / x

for this set of parameters that means taking

r = sqrt((3)^2) + (-3)^2)

r = +/- 3sqrt(2)

tan(theta) = y/x = 1

theta = pi/4 +/- 2*pi

then based on the other constraints it would be

(3sqrt(2), 7pi/4) since we need r to be a positive value