Question

Convert the point to polar coordinates using the interval [0, 2\small \pi) for θ.

Answer 1

First we need to find r

$r=\sqrt[]{x^2+y^2}$

in this case

x=0

y=-3

$r=\sqrt[]{0^2+(-3)^2}=3$

Because the x-coordinate is 0 and the y-coordinate is negative the angle is 270°=3/2pi

ANSWER

$3\angle\frac{\text{3}}{2}\pi$