Evaluate `cot(cot^(-1)(1/x)+cot^(-1)x)`

Evaluate cot (tan^(-1) (2x) + cot^(-1) (2x))

cot(tan^(-1)x+cot^(-1)x)

Evaluate cot(tan^(-1)a+cot^(-1)a)

If x>y>z>0, then find the value of cot^(-1)(xy+1)/(x-y)+cot^(-1)(yz+1)/(zy-z)+cot^(-1)(zx+1)/(z-x)

Find the set of values of cot^(-1)(1) and cot^(-1)(-1)

Evaluate "cot"^(-1)1/9+"cot"^(-1)4/5+"cot"^(-1)1

Prove that tan(cot^(-1)x)=cot(tan^(-1)x)

Find the value of cot(tan^(-1)a+cot^(-1)a)

Find the value of: cot(tan^(-1)a+cot^(-1)a)

If alpha and beta are the roots of the equation x^(2)+5x-49=0, then find the value of cot(cot^(-1)alpha+cot^(-1)beta)