If √2sinα√1+cos2α=17 and √1−cos2β2=1√10,α,β∈(0,π2), – InterviewSolution

1.	If √2sinα√1+cos2α=17 and √1−cos2β2=1√10,α,β∈(0,π2), then tan(α+2β) is equal to
Answer» If $\frac{\sqrt{2} sin α}{\sqrt{1 + cos 2 α}} = \frac{1}{7}$ and $\sqrt{\frac{1 - cos 2 β}{2}} = \frac{1}{\sqrt{10}}, α, β \in (0, \frac{π}{2})$ , then $tan (α + 2 β)$ is equal to

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