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

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) $x = \frac { \pi } { 3 } + 2 n \pi$