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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