Find the Exact Value by Using a Half-Angle Identity $\tan 165 ^ { \circ }$

Multiple Choice

Find the exact value by using a half-angle identity.
- $\tan 165 ^ { \circ }$

A) $- 2 - \sqrt { 3 }$
B) $2 - \sqrt { 3 }$
C) $2 + \sqrt { 3 }$
D) $- 2 + \sqrt { 3 }$