Find the Exact Value of the Composition $\tan \left( 2 \tan ^ { - 1 } ( 2 ) \right)$

Multiple Choice

Find the exact value of the composition.
- $\tan \left( 2 \tan ^ { - 1 } ( 2 ) \right)$

A) $- \frac { 4 } { 3 }$
B) $\frac { 2 } { 3 }$
C) $- \frac { 2 } { 3 }$
D) $\frac { 4 } { 3 }$