trigonometry

Question: 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

1) $\frac{\pi }{4}-\alpha $

2) $\frac{3\pi }{4}-\alpha $

3) $\frac{\pi }{8}-\frac{\alpha }{2}$

4) $\frac{3\pi }{8}-\frac{\alpha }{2}$

Solution:

Explanation: No Solution

Trigonometric ratios of multiple and sub-multiple angles

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