Using the Separation of the Previous Problem, the Equation For \Theta

Multiple Choice

Using the separation of the previous problem, the equation for $\Theta$ becomes

A) $\Theta ^ { \prime \prime } - \lambda \Theta = 0$
B) $\Theta ^ { \prime \prime } + \lambda \Theta = 0$
C) $\sin ( \theta ) \Theta ^ { \prime \prime } + \cos ( \theta ) \Theta ^ { \prime } + \lambda \sin ( \theta ) \Theta = 0$
D) $\cos ( \theta ) \Theta ^ { \prime \prime } - \sin ( \theta ) \Theta ^ { \prime } + \lambda \sin ( \theta ) \Theta = 0$
E) $\sin ( \theta ) \Theta ^ { \prime \prime } - \cos ( \theta ) \Theta ^ { \prime } + \lambda \sin ( \theta ) \Theta = 0$