Find the Exact Value of the Expression $\sin \left[ 2 \cos ^ { - 1 } \left( - \frac { 3 } { 5 } \right) \right]$

Multiple Choice

Find the exact value of the expression.
- $\sin \left[ 2 \cos ^ { - 1 } \left( - \frac { 3 } { 5 } \right) \right]$

A) $- \frac { 12 } { 25 }$
B) $- \frac { 24 } { 25 }$
C) $\frac { 12 } { 25 }$
D) $\frac { 24 } { 25 }$