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

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

Prove that cot^(-1) 7 + 2 cot^(-1)3 = pi/4

Prove that : (i) tan^(-1) x + cot^(-1)( x+1) = tan^(-1) (x^(2)+x+1) (ii) cot^(-1) 3 + "cosec"^(-1) sqrt(5) = pi/4

Prove that 2cot^(-1)5+ cot^(-1)7 + 2cot^(-1)8 =pi/4

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

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

Prove that cot((pi)/(4)-2cot^(-1)3)=7