If $\tan \alpha = \frac{1}{7}$ and $\sin \beta = \frac{1}{{\sqrt {10} }}\left( {0 < \alpha ,\,\beta < \frac{\pi }{2}} \right)$, then $2\beta $ is equal to
If $\tan \alpha = \frac{1}{7}$ and $\sin \beta = \frac{1}{{\sqrt {10} }}\left( {0 < \alpha ,\,\beta < \frac{\pi }{2}} \right)$, then $2\beta $ is equal to
- A
$\frac{\pi }{4} - \alpha $
- B
$\frac{{3\pi }}{4} - \alpha $
- C
$\frac{\pi }{8} - \frac{\alpha }{2}$
- D
$\frac{{3\pi }}{8} - \frac{\alpha }{2}$
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