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

question 11

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

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