Find the polar coordinates for point P which has Cartesian coordinates 1 comma square root of 3

Question

 

Find the polar coordinates for point P which has Cartesian coordinates  

A
B
C
D

Answer 1

r = (x² + y²)^1/2 = (1 + 3)^1/2 = 2; tanθ = y/x = √3/1 = √3; so θ = π/3.

Polar coordinate of this point is (2,π/3)

Answer is C.