Find the Exact Value of the Composition $\cos \left( \sin ^ { - 1 } \frac { 4 } { 5 } \right)$

Multiple Choice

Find the exact value of the composition.
- $\cos \left( \sin ^ { - 1 } \frac { 4 } { 5 } \right)$

A) $- \frac { 3 } { 5 }$
B) $\frac { 1 } { 5 }$
C) $- \frac { 4 } { 5 }$
D) $\frac { 3 } { 5 }$