Find All Solutions to the Equation $\sin ( \cos x ) = 0$

Multiple Choice

Find all solutions to the equation.
- $\sin ( \cos x ) = 0$

A) $\left\{ \frac { \pi } { 2 } + 2 n \pi , n \pi \mid n = 0 , \pm 1 , \pm 2 , \ldots . \right\}$
B) $\left\{ \frac { \pi } { 2 } + 2 n \pi \mid n = 0 , \pm 1 , \pm 2 , \ldots . \right\}$
C) $\left\{ \frac { \pi } { 2 } + \mathrm { n } \pi \mid \mathrm { n } = 0 , \pm 1 , \pm 2 , \ldots . \right\}$
D) $\{ \mathrm { n } \pi \mid \mathrm { n } = 0 , \pm 1 , \pm 2 , \ldots . \}$