Solve the Initial Value Problem $$\frac { d r } { d \theta } = - \frac { \pi } { 2 } \cos \frac { \pi } { 2 } \theta , r ( 0 ) = - 10$$

Multiple Choice

Solve the initial value problem.
- $$\frac { d r } { d \theta } = - \frac { \pi } { 2 } \cos \frac { \pi } { 2 } \theta , r ( 0 ) = - 10$$

A) $r = \sin \frac { \pi } { 2 } \theta - 10$
B) $r = - \sin \frac { \pi } { 2 } \theta - 10$
C) $r = - \frac { \pi } { 2 } \sin \frac { \pi } { 2 } \theta - 10$
D) $r = \cos \frac { \pi } { 2 } \theta - 11$