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

Multiple Choice

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

A) $\frac { 2 \sqrt { 5 } } { 5 }$
B) $2 \sqrt { 5 }$
C) $5 \sqrt { 2 }$
D) $\frac { 5 \sqrt { 2 } } { 2 }$