Write the Product as a Sum or Difference of Trigonometric $10 \sin 49 ^ { \circ } \cos 111 ^ { \circ }$

Multiple Choice

Write the product as a sum or difference of trigonometric functions.
- $10 \sin 49 ^ { \circ } \cos 111 ^ { \circ }$

A) $5 \left[ \cos 160 ^ { \circ } + \cos \left( - 62 ^ { \circ } \right) \right]$
B) $5 \left[ \sin 160 ^ { \circ } + \sin \left( - 62 ^ { \circ } \right) \right]$
C) $5 \left[ \sin 160 ^ { \circ } - \sin \left( - 62 ^ { \circ } \right) \right]$
D) $10 \left[ \cos 160 ^ { \circ } + \cos \left( - 62 ^ { \circ } \right) \right]$