(a) The Cartesian coordinates of a point are $(1,1).$

(i) Find polar coordinates $(r,\theta)$ of the point, where $r>0$ and $0 \le \theta < 2\pi.$

$r =$

$\theta =$

(ii) Find polar coordinates $(r,\theta)$ of the point, where $r<0$ and $0 \le \theta < 2\pi.$

$r =$

$\theta =$

(b) The Cartesian coordinates of a point are $(2\sqrt{3},-2).$

(i) Find polar coordinates $(r,\theta)$ of the point, where $r>0$ and $0 \le \theta < 2\pi.$

$r =$

$\theta =$

(ii) Find polar coordinates $(r,\theta)$ of the point, where $r<0$ and $0 \le \theta < 2\pi.$

$r =$

$\theta =$