Question 13 of 155MediumMCQ
If α>β>γ>0, then the expression cot−1β+(α−β)(1+β2)+cot−1γ+(β−γ)(1+γ2)+cot−1α+(γ−α)(1+α2) is equal to : Solutions · 1
Official solution
\[⇒cot−1(α−βαβ+1)+cot−1(β−γβγ+1)+cot−1(γ−ααγ+1)⇒tan−1(1+αβα−β)+tan−1(1+βγβ−γ)+π+tan−1(1+γαγ−α)⇒(tan−1α−tan−1β)+(tan−1β−tan−1γ)+(π+tan−1γ−tan−1α)⇒π\] Answer the question to unlock