Solve the Multi-Angle Equation Below $$\sin ( 2 x ) = - \frac { \sqrt { 2 } } { 2 }$$

Multiple Choice

Solve the multi-angle equation below. $$\sin ( 2 x ) = - \frac { \sqrt { 2 } } { 2 }$$

A) $\frac { 5 \pi } { 3 } + n \pi , \frac { 7 \pi } { 3 } + n \pi$ , where $n$ is an integer
B) $\frac { 5 \pi } { 8 } + n \pi , \frac { 7 \pi } { 3 } + n \pi$ , where $n$ is an integer
C) $\frac { 5 \pi } { 8 } + 2 n \pi , \frac { 7 \pi } { 8 } + 2 n \pi$ , where $n$ is an integer
D) $\frac { 5 \pi } { 3 } + 2 n \pi , \frac { 7 \pi } { 3 } + 2 n \pi$ , where $n$ is an integer
E) $\frac { 5 \pi } { 8 } + n \pi , \frac { 7 \pi } { 8 } + n \pi$ , where $n$ is an integer