Find the Exact Value Under the Given Conditions A) $- \frac { 1 } { 2 }$

Multiple Choice

Find the exact value under the given conditions.
- $\cos \left( \frac { 5 \pi } { 3 } + \alpha \right) \cos \left( \frac { 5 \pi } { 3 } - \alpha \right) - \sin \left( \frac { 5 \pi } { 3 } + \alpha \right) \sin \left( \frac { 5 \pi } { 3 } - \alpha \right)$

A) $- \frac { 1 } { 2 }$
B) $\frac { 3 } { 4 }$
C) $\frac { 1 } { 4 }$
D) $\frac { 1 } { 2 }$