If sin(α+β)=1 and sin(α−β)=12, where 0≤α,β≤π2, then find – InterviewSolution

1.	If sin(α+β)=1 and sin(α−β)=12, where 0≤α,β≤π2, then find the values of tan(α+2β) and tan(2α+β).
Answer» If $s i n (α + β) = 1$ and $s i n (α - β) = \frac{1}{2},$ where $0 \leq α, β \leq \frac{π}{2},$ then find the values of $t a n (α + 2 β)$ and $t a n (2 α + β)$ .

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