In: Math
(a) The Cartesian coordinates of a point are (1, 1).
(i) Find polar coordinates (r, θ) of the point, where r > 0 and 0≤θ< 2π.
(ii) Find polar coordinates (r, θ) of the point, where r < 0 and 0 ≤ θ < 2π.
(b) The Cartesian coordinates of a point are \((2 \sqrt{3},-2)\).
(i) Find polar coordinates (r, θ) of the point, where r >0 and 0≤θ<2π.
(ii) Find polar coordinates (r, θ) of the point, where r<0 and 0 ≤θ< 2π.