Solve the Problem $\left( 4 , \frac { \pi } { 6 } \right)$

Essay

Solve the problem.
-Plot the point $\left( 4 , \frac { \pi } { 6 } \right)$ and find other polar coordinates $( r , \theta )$ of the point for which:
(a) $\mathrm { r } > 0 , \quad - 2 \pi \leq \theta < 0$
(b) $\mathrm { r } < 0 , \quad 0 \leq \theta < 2 \pi$
(c) $\mathrm { r } > 0 \quad 2 \pi \leq \theta < 4 \pi$