Find the Exact Value of the Given Expression $$\sin \left( \frac { \pi } { 3 } - \frac { \pi } { 4 } \right)$$

Find the exact value of the given expression. $$\sin \left( \frac { \pi } { 3 } - \frac { \pi } { 4 } \right)$$

A) $\frac { ( - \sqrt { 3 } + 1 ) ( 2 \sqrt { 2 } ) } { 8 }$
B) $\frac { ( - \sqrt { 3 } - 1 ) ( 2 \sqrt { 2 } ) } { 8 }$
C) $\frac { ( \sqrt { 3 } - 1 ) ( 2 \sqrt { 2 } ) } { 8 }$
D) $\frac { ( \sqrt { 3 } + 1 ) ( 2 \sqrt { 2 } ) } { 8 }$

Correct Answer:

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