Convert the rectangular coordinate x y to a Polar coordinate

Convert the rectangular coordinate (x, y) to a Polar coordinate, P = (r, theta): (1/2, Squareroot 3/2) (r, theta) = (Squareroot 2, 11 pi/6) (r, theta) = (Squareroot 2, 5 pi/3) (r, theta) = (1, 11 pi/6) (r, theta) = (1, 5 pi/3)

Solution

(1/2 ,-sqrt3/2)

R=sqrt((1/2)²+(-sqrt3/2)²) =1

theta=tan^-1(y/x)=tan^-1(-sqrt3) = 5pi/3

polar coordinate (1,5pi/3)

correct option is the lastone .