Express the Product as a Sum or Difference $\sin 5 x \cos 6 x$

Multiple Choice

Express the product as a sum or difference.
- $\sin 5 x \cos 6 x$

A) $\frac { 1 } { 2 } ( \sin 11 x - \sin x )$
B) $\frac { 1 } { 2 } ( \cos 11 x + \sin x )$
C) $\frac { 1 } { 2 } ( \cos 11 x - \cos x )$
D) $\sin \left( \cos 30 x ^ { 2 } \right)$