Solve the Multiple-Angle Equation $\tan \frac { x } { 2 } = \frac { \sqrt { 3 } } { 3 }$

question 49

Multiple Choice

Solve the multiple-angle equation. $\tan \frac { x } { 2 } = \frac { \sqrt { 3 } } { 3 }$

• A)​ \(x = \frac { 5 \pi } { 3 } + n \pi\)
• B)​ \(x = \frac { 7 \pi } { 6 } + n \pi \text { and } \frac { 11 \pi } { 6 } + n \pi\)
• C)​ \(x = \frac { 2 \pi } { 3 } + n \pi\)
• D)​ \(x = \frac { 5 \pi } { 6 } + n \pi \text { and } \frac { 7 \pi } { 6 } + n \pi\)
• E) \(x = \frac { \pi } { 3 } + 2 n \pi\)

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