If $\cos 2\theta = \sin \alpha$,then $\theta =$
- A$n\pi \pm (\frac{\pi}{2} - \alpha), n \in \mathbb{Z}$
- B$n\pi \pm (\frac{\pi}{4} + \frac{\alpha}{2}), n \in \mathbb{Z}$
- C$\frac{1}{2}[n\pi + (-1)^n \alpha], n \in \mathbb{Z}$
- D$n\pi \pm (\frac{\pi}{4} - \frac{\alpha}{2}), n \in \mathbb{Z}$
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