`tan(1/2)(tan^(-1)x+tan^(-1)(1/x))=1`

The number of solutions of the equation tan^(-1)(x+1)+tan^(-1)x+tan^(-1)(x-1)=tan^(-1)3

Find the value of x for which tan^(-1)(1+x)+tan^(-1)x+tan^(-1)(x-1)=tan3 gets satisfied.

If 1

2 tan ( tan^(-1)(x)+ tan^(-1)(x^(3))) " where " x in R - {-1,1} is equal to

Prove that tan(2tan^(-1)x)=2tan(tan^(-1)x+tan^(-1)x^(3))

Prove that tan (2 tan^(-1) x ) = 2 tan (tan^(-1) x + tan^(-1) x^(3)) .

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

2tan(tan^(-1)(x)+tan^(-1)(x^(3))), where x in R-{-1,1} is equal to (2x)/(1-x^(2))t(2tan^(-1)x)tan(cot^(-1)(-x)-cot^(-1)(x))tan(2cot^(-1)x)