Express the Product as a Sum or Difference $\sin 6 x \sin 2 x$

Multiple Choice

Express the product as a sum or difference.
- $\sin 6 x \sin 2 x$

A) $\frac { 1 } { 2 } ( \cos 4 x - \cos 8 x )$
B) $\sin ^ { 2 } 12 x ^ { 2 }$
C) $\frac { 1 } { 2 } ( \cos 8 x - \cos 4 x )$
D) $\frac { 1 } { 2 } ( \sin 8 x + \cos 4 x )$