" (ii) "tan^(-1)((1-x)/(1+x))=(pi)/(4)-tan^(-1)x,(x>0)" (NCERT) "Prove it

tan^(-1)((1+x)/(1-x))=(pi)/(4)+tan^(-1)x,x<1

Prove that : tan^-1((1-x)/(1+x))= pi/4 - tan^-1 x

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

If tan^(-1)x=(pi)/(4)-tan^(-1)((1)/(3))then x is

If tan^(-1)x=(pi)/(4)-tan^(-1)((1)/(3)) , then x is

Prove that tan^-1(1+x)/(1-x) = pi/4 + tan^-1x, x < 1

Prove that tan^(-1) ((1-sqrt(x))/(1+sqrt(x))) = pi/4 - tan^(-1) sqrt(x) , "where" x gt 0

Prove that i) tan^(-1)(1+x)/(1-x)=pi/4 + tan^(-1)x,x lt 1 ii) tan^(-1)x+cot^(-1)(x+1)=tan^(-1)(x^(2)+x+1)

Prove that tan^(-1)((cosx)/(1+sin x)) =(pi)/(4)-(x)/(2), x in (-(pi)/(2), (pi)/(2)) .