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The product 2 sin x cos y can be written as
Asin(x+y) + sin(x−y)
Bsin(x+y) − sin(x−y)
Ccos(x+y) − cos(x−y)
Dcos(x+y) + cos(x−y)
Answer & Solution
Correct answer: A. sin(x+y) + sin(x−y)
Adding the sine sum and sine difference formulas cancels the cos x sin y terms and leaves 2 sin x cos y.
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