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

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The Answer of 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

Solve the Multi-Angle Equation Below sin⁡(2x)=−22\sin ( 2 x ) = - \frac { \sqrt { 2 } } { 2 }sin(2x)=−22​​

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