Use a Product-To-Sum Formula to Convert the Expression to a Sum

Multiple Choice

Use a product-to-sum formula to convert the expression to a sum or difference. Simplify where possible. $\sin 125 ^ { \circ } \sin 5 ^ { \circ }$

A) $\frac { 1 } { 2 } \sin 130 ^ { \circ } - \frac { \sqrt { 3 } } { 4 }$
B) $- \frac { 1 } { 4 } - \frac { 1 } { 2 } \cos 130 ^ { \circ }$
C) $\frac { 1 } { 2 } \sin 130 ^ { \circ } + \frac { \sqrt { 3 } } { 4 }$
D) $\sqrt { 3 } \cos 65 ^ { \circ }$
E) $\frac { 1 } { 2 } \cos 130 ^ { \circ } - \frac { 1 } { 4 }$