Which of the following are polar coordinates of the point whose rectangular coordinates are (-2, -2sqrt3)?

Question

a.) (4, pi/3)
b.) (2sqrt3, 4pi/3)
c.) (4, 7pi/6)
d.) (4, 4pi/3)
e.) none of these

Answer 1

recall that
r^2 = x^2 + y^2
tanθ = y/x
So see which coordinates (if any) fit those values.