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    Question

    Simplify the following trigonometric expression:

    sin 2A + sin 2B
    A 2sin (A + B) sin (A - B) Correct Answer Incorrect Answer
    B 2sin (A + B) cos (A + B) Correct Answer Incorrect Answer
    C 2sin (A + B) cos (A - B) Correct Answer Incorrect Answer
    D 2cos (A + B) sin (A - B) Correct Answer Incorrect Answer

    Solution

    sin X + sin Y = 2sin [(X + Y) /2] cos [(X - Y) /2]

    So, sin 2A + sin 2B = 2sin (A + B) cos (A - B)

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