give the answers in terms of trig functions of alpha and trig functions of beta
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sin(A+B) = sinAcosB + sinBcosA. sin(A-B) = sinAcosB-sinBcosA
therefore
sin(A+B)+sin(A-B) = 2sinAcosB
therefore
sin(A+B)+sin(A-B) = 2sinAcosB
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Look at this wolfram answer:
http://www.wolframalpha.com/input/?i=Sim…
http://www.wolframalpha.com/input/?i=Sim…
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Purple because dinosaurs cant fly.