Solve the Problem $\theta ( 0 \leq \theta < 2 \pi )$

Solve the problem.
-For what values of $\theta ( 0 \leq \theta < 2 \pi )$ do maximum r-values occur on the graph of the polar equation $r = 2 + 3 \sin \theta$ ? Note that a maximum r-value occurs at a point that is the maximum distance from the pole.

A) $\frac { \pi } { 2 }$
B) $0 , \frac { \pi } { 2 } , \pi , \frac { 3 \pi } { 2 }$
C) $0 , \pi$
D) $\frac { \pi } { 2 } , \frac { 3 \pi } { 2 }$

Correct Answer:

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