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Which sum or difference equals 2 cosA sinB?

Asin(A + B) + sin(A − B)
Bcos(A + B) − cos(A − B)
Ccos(A − B) + cos(A + B)
Dsin(A + B) − sin(A − B)
Answer & Solution
Correct answer: D. sin(A + B) − sin(A − B)
Subtracting sin(A − B) from sin(A + B) cancels the sinA cosB terms and leaves 2 cosA sinB.
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