The sum of the two angles `cot^(-1) 3 and cosec^(-1) sqrt(5)` is

cot^(-1)3+cosec^(-1)sqrt(5)=

cot^(-1)9 + cosec^(-1)(sqrt(41)/4)=

4(cot^(-1)3+csc^(-1)sqrt(5))=pi

" (3.) "cot^(-1)3+cosec^(-1)sqrt(5)=..........

cot^(-1)9+cosec^(-1)(sqrt(41))/(4)=(pi)/(4)

Find the sum cosec^(-1) sqrt10 + cosec^(-1) sqrt50 + cosec^(-1) sqrt(170) + .... + cosec^(-1) sqrt((n^(2) + 1) (n^(2) + 2n + 2))

"cosec"[2 cot^(-1)(5) + cos^(-1)(4/5)] is equal to