Use the Half-Angle Formulas to Find the Exact Value of the Trigonometric

Multiple Choice

Use the Half-angle Formulas to find the exact value of the trigonometric function.
- $\tan 165 ^ { \circ }$

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