x_(2)tan^(-1)(cosec tan^(-1)x-tan cot^(-1)x)=tan^(-1)x

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

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

Prove that 2 tan^(-1) (cosec tan^(-1) x - tan cot^(-1) x) = tan^(-1) x (x != 0)

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

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

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

The value of 2tan^(-1)(cosec(tan^(-1)x)-tan(cot^(-1)x)) is equal to

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)

tan^(-1)(cot x)-tan^(-1)(cot2x)=

Let |{:(tan^(-1)x, tan^(-1)2x, tan^(-1)3x), (tan^(-1)3x, tan^(-1)x, tan^(-1)2x), (tan^(-1)2x, tan^(-1)3x, tan^(-1)x):}|=0 , then the number of values of x satisfying the equation is