Question

Find the polar coordinates of the point with rectangular coordinates `(0,1)` ?

Answer 1

The polar coordinates of `(x,y)=(0,1)` is
`(r,theta)=(1,pi/2)`.

Since `r` is the distance of the point from the origin,
`r=sqrt{0^2+1^2}`

Since `theta` is the angle between the positive x-axis and the segment connecting the origin and the point,
`theta=pi/2`
(Note: `(0,1)` is on the positive y-axis, which makes 90`"^circ` from the positive x-axis.)