(Solved): The Cartesian coordinates of a point are given. (a) \( (-2,2) \) (i) Find polar coordinates \( (r, ...

The Cartesian coordinates of a point are given. (a) \( (-2,2) \) (i) Find polar coordinates \( (r, \theta) \) of the point, where \( r>0 \) and \( 0 \leq \theta<2 \pi \). \[ (r, \theta)=(\quad) \] (ii) Find polar coordinates \( (r, \theta) \) of the point, where \( r<0 \) and \( 0 \leq \theta<2 \pi \). \[ \left(r_{r} \theta\right)=(\quad) \] (b) \( (4,4 \sqrt{3}) \) (i) Find polar coordinates \( (r, \theta) \) of the point, where \( r>0 \) and \( 0 \leq \theta<2 \pi \). \[ (r, \theta)=(\quad) \] (ii) Find polar coordinates \( (r, \theta) \) of the point, where \( r<0 \) and \( 0 \leq \theta<2 \pi \). \[ (r, \theta)=(\quad) \]