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AHSME 1983 Problem 11

    Simplify sin⁡(x−y)cos⁡y+cos⁡(x−y)sin⁡y\sin (x-y) \cos y + \cos (x-y) \sin y. (A) 1(B) sin⁡x(C) cos⁡x(D) sin⁡xcos⁡2y(E) cos⁡xcos⁡2y\textbf{(A)}\ 1 \textbf{(B)}\ \sin x \textbf{(C)}\ \cos x \textbf{(D)}\ \sin x \cos 2y \textbf{(E)}\ \cos x\cos 2y

    Dataset text NuminaMath-1.5. Quoted with source.

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