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

  • A

    $\alpha = 45^\circ ,\beta = 15^\circ $

  • B

    $\alpha = 15^\circ ,\beta = 45^\circ $

  • C

    $\alpha = 60^\circ ,\beta = 15^\circ $

  • D

    None of these

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