Find the Extrema of the Function on the Given Interval $$\csc ^ { 2 } x + 2 \cot x , 0 < x < \pi$$

Multiple Choice

Find the extrema of the function on the given interval, and say where they occur.
- $$\csc ^ { 2 } x + 2 \cot x , 0 < x < \pi$$

A) local maximum: 0 at $x = \frac { 3 \pi } { 4 }$
B) local maximum: 0 at $x = \frac { \pi } { 4 }$
C) local minimum: 0 at $x = \frac { 3 \pi } { 4 }$
D) local minimum: 0 at $x = \frac { \pi } { 4 }$