Find the Exact Value of the Expression $\tan 150 ^ { \circ } \cos 210 ^ { \circ }$

Multiple Choice

Find the exact value of the expression. Do not use a calculator.
- $\tan 150 ^ { \circ } \cos 210 ^ { \circ }$

A) $\frac { 2 \sqrt { 3 } + 3 } { 6 }$
B) $\frac { 3 \sqrt { 3 } + 2 \sqrt { 3 } } { 6 }$
C) $\frac { \sqrt { 3 } + 1 } { 2 }$
D) $- \frac { 5 \sqrt { 3 } } { 6 }$