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If $\sin\alpha=\sin\beta$ and $\cos\alpha=\cos\beta$ then

$\begin{array}{1 1}(a)\;\sin\large\frac{\alpha+\beta}{2}\normalsize=0&(b)\;\cos\large\frac{\alpha+\beta}{2}\normalsize=0\\(c)\;\sin\large\frac{\alpha-\beta}{2}\normalsize=0&(d)\;\cos\large\frac{\alpha-\beta}{2}\normalsize=0\end{array}$

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