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Which identity correctly converts 2 sinA cosB into a sum?

Asin(A + B) − sin(A − B)
Bcos(A + B) + cos(A − B)
Csin(A + B) + sin(A − B)
Dcos(A − B) − cos(A + B)
Answer & Solution
Correct answer: C. sin(A + B) + sin(A − B)
Adding sin(A + B) and sin(A − B) cancels the cosA sinB terms and leaves 2 sinA cosB.
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