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

Multiple Choice

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) $\frac { ( \sqrt { 3 } + 1 ) ( 2 \sqrt { 2 } ) } { 8 }$