Find the Exact Value of the Expression $\cos \left( \tan ^ { - 1 } \frac { 4 } { 3 } - \sin ^ { - 1 } \frac { 3 } { 5 } \right)$

Find the exact value of the expression.
- $\cos \left( \tan ^ { - 1 } \frac { 4 } { 3 } - \sin ^ { - 1 } \frac { 3 } { 5 } \right)$

A) 1
B) $\frac { 2 \sqrt { 6 } } { 5 }$
C) $\frac { 2 \sqrt { 3 } } { 5 }$
D) $\frac { 24 } { 25 }$

Correct Answer:

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