Use the Product-To-Sum Formulas to Rewrite the Product as a Sum

Multiple Choice

Use the product-to-sum formulas to rewrite the product as a sum or difference.​ $$\sin \frac { \pi } { 3 } \cos \frac { \pi } { 6 }$$ ​

A) ​ $\frac { 1 } { 2 } \left( \sin \frac { \pi } { 2 } + \cos \frac { \pi } { 6 } \right)$
B) ​ $\frac { 1 } { 2 } \left( \sin \frac { \pi } { 2 } + \sin \frac { \pi } { 6 } \right)$
C) ​ $\frac { 1 } { 2 } \left( \sin \frac { \pi } { 2 } - \cos \frac { \pi } { 6 } \right)$
D) ​ $\frac { 1 } { 2 } \left( \sin \frac { \pi } { 2 } - \sin \frac { \pi } { 6 } \right)$
E) ​ $\left( \sin \frac { \pi } { 2 } + \cos \frac { \pi } { 6 } \right)$