If `tan^(-1)((2x)/(1-x^(2)))+cot^(-1)((1-x^(2))/(2x))=(pi)/(3),x in(0,1),` then `(x^(4)+(1)/(x^(4)))` is equal to

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

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

If sin^(-1)((2x)/(1+x^(2)))+cos^(-1)((1-x^(2))/(1+x^(2)))=4 tan^(-1) x then

If tan^(- 1)((2x)/(x^2-1))+cos^(- 1){(x^2-1)/(x^2+1)}=(2pi)/3 then x=

Solve : tan^(-1)((x-1)/(x-2))+tan^(-1)((x+1)/(x+2))=pi/4

If x_1=2tan^(-1)((1+x)/(1-x)),x_2=sin^(-1)((1-x^2)/(1+x^2)) , where x in (0,1), then x_1+x_2 is equal to (a) 0 (b) 2pi (c) pi (d) none of these

Solve the following equation for x : tan^(-1)((2x)/(1-x^2))+cot^(-1)((1-x^2)/(2x))=(2pi)/3,x >0

Solve the following equation for x : tan^(-1)((2x)/(1-x^2))+cot^(-1)((1-x^2)/(2x))=(2pi)/3,x >0

If tan^(-1)((x-1)/(x-2))+tan^(-1)((x+1)/(x+2))=pi/4 , then find the value of x .

If tan^(-1)((x-1)/(x-2))+tan^(-1)((x+1)/(x+2))=pi/4, then find the value of xdot