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

question 10

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) \(\left( \sin \frac { \pi } { 2 } + \cos \frac { \pi } { 6 } \right)\)

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