21" ef "cot^(-1)(2)/(x)+tan^(-1)(x)/(2)

The value of 2tan^(-1)(cos ec tan^(-1)x-tan cot^(-1)x) is equal to (a)cot ^(-1)x( b ) (cot^(-1)1)/(x) (c)tan ^(-1)x (d) none of these

Prove that tan^(-1) x + cot^(-1) (x+1) = tan ^(-1) (x^(2) + x+1) .

Prove that tan^(-1) x + cot^(-1) (x+1) = tan ^(-1) (x^(2) + x+1) .

The solution set of the inequality (tan^(-1)x cot^(-1)x)^(2)+5-5(tan^(-1)x)^(2)cot^(-1)x+(cot^(-1)x)^(2)-5cot^(-1)x+6(tan^(-1)x)^(2)+1lt0 is (m,n) ,the value of cot^(-1)m-cot^(-1)n is equal to (1) -1 (3) Zero

Prove statement "tan"^(-1) x +"cot"^(-1)(x+1)="tan"^(-1)(x^2+x+1)

Prove that : tan^(-1) x + cot^(-1) (1+x) = tan^(-1) (1+x+x^2)

Prove that : tan^(-1) x + cot^(-1) (1+x) = tan^(-1) (1+x+x^2)

Prove that tan ^(-1)""(1)/(x+y)+ tan ^(-1)""(y)/(x^(2)+xy+1)= cot ^(-1)x.

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