Plot the point \( \left(-2,-\frac{\pi}{6}\right) \), given in polar coordinates, and find other polar coordinates \( (r, \theta) \) of the point for which the following are true.
(a) \( r>0,-2 \pi \leq \theta<0 \)
(b) \( r<0,0 \leq \theta<2 \pi \)
(c) \( r>0,2 \pi \leq \theta<4 \pi \)