Choose the One Alternative That Best Completes the Statement or Answers

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
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) $\frac { \sqrt { 10 } + 1 } { 3 }$