If `(tan^(-1) x)^2 + (cot^(-1) x)^2 = (5 pi^2) /8` find x.

If tan^(-1)y=4tan^(-1)x, (|x| lt tan(pi) /8) , find y as an algebraic function of x , and , hence, prove that tan(pi/8) is a root of the equation x^4-6x^2+1=0

Find the values of each of the following : tan^(-1)2x+tan^(-1)(1/(x+4))=pi/2 then find x.

Sovle tan^(-1)2x+tan^(-1)3x=(pi)/4

Prove that tan^(-1). 1/2 + tan^(-1) . 1/5 + tan^(-1). 1/8 = pi/4

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

If sin{cot^(-1)(x+1)}=cos(tan^(-1)x), then find x

If tan^(-1)x+tan^(-1)y=(4pi)/5 , then cot^(-1)x+cot^(-1)y equals to ____

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

If 3tan^(-1)x+cot^(-1)x=pi , then x equals to ______