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Trigonometry

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Product-Sum Identity for $\sin{\alpha} \cos{\alpha}$

TRIG-M@JVY2

Which of the following is the Product-Sum Identity for the $\sin{\alpha} \cos{\alpha}$?

A

$\cfrac{1}{2}[\sin({\alpha} + {\beta})+ \sin({\alpha} - {\beta})]$

B

$\cfrac{1}{2}[\cos({\alpha} + {\beta})+ \sin({\alpha} - {\beta})]$

C

$\cfrac{1}{2}[\sin({\alpha} + {\beta})- \sin({\alpha} - {\beta})]$

D

$\cfrac{1}{2}[\sin({\alpha} + {\beta})+ \cos({\alpha} - {\beta})]$