Solve the Problem $\tan \frac { \theta } { 2 }$

Multiple Choice

Solve the problem.
-Find $\tan \frac { \theta } { 2 }$ , given that $\tan \theta = 3$ and $\theta$ terminates in $\pi < \theta < 3 \pi / 2$

A) $\frac { \sqrt { 10 } - 1 } { - 3 }$

B) $\frac { \sqrt { 10 } - 1 } { 3 }$

C) $\frac { \sqrt { 10 } + 1 } { - 3 }$

D) $\frac { \sqrt { 10 } + 1 } { 3 }$