trigonometry

Question: If $\sin (\alpha -\beta )=\frac{1}{2}$and $\cos (\alpha +\beta )=\frac{1}{2},$where $\alpha $ and $\beta $ are positive acute angles, then

1) $\alpha =45{}^\circ ,\beta =15{}^\circ $

2) $\alpha =15{}^\circ ,\beta =45{}^\circ $

3) $\alpha =60{}^\circ ,\beta =15{}^\circ $

4) None of these

Solution:

Explanation: No Solution

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