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

Prove statement "cot"^(-1) 9 + "cosec"^(-1) sqrt41/4 =pi/4

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

Prove that : cot^-1 3 + cosec^-1 sqrt5 = pi/4

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

Prove the following statements "cot"^(-1)9+"cosec"^(-1)sqrt(41)/(4)=pi/(4)

Prove that cot^-1 x = cosec^-1 sqrt(1+x^2) for x ge 0

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

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