Solve the Multi-Angle Equation Below $\cos \left( \frac { x } { 2 } \right) = - \frac { \sqrt { 3 } } { 2 }$

question 22

Multiple Choice

Solve the multi-angle equation below.
$\cos \left( \frac { x } { 2 } \right) = - \frac { \sqrt { 3 } } { 2 }$

• A) \(\frac { 10 \pi } { 3 } + n \pi , \frac { 14 \pi } { 3 } + n \pi\), where \(n\) is an integer
• B) \(\frac { 10 \pi } { 3 } + 2 n \pi , \frac { 14 \pi } { 3 } + 2 n \pi\), where \(n\) is an integer
• C) \(\frac { 5 \pi } { 3 } + n \pi , \frac { 14 \pi } { 3 } + n \pi\), where \(n\) is an integer
• D) \(\frac { 5 \pi } { 3 } + n \pi , \frac { 7 \pi } { 3 } + n \pi\), where \(n\) is an integer
• E) \(\frac { 5 \pi } { 3 } + 4 n \pi , \frac { 7 \pi } { 3 } + 4 n \pi\), where \(n\) is an integer

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