Find the polar coordinates for point P which has Cartesian coordinates

(1,-√3)
a) (1,5pi/6)
b) (1,5pi/3)
c) (√3,5pi/3)
d) (2,5pi/3)

5 answers

x^2 + y^2 = r^2
tanθ = y/x
make sure you get the proper quadrant by checking the signs of x and y.
answer A?
(1,5pi/6)???
i refer you, again, to ... x^2 + y^2 = r^2

1^2 + (-√3)^2 = 1 + 3 = 4 = r^2

only one answer fits