" If "tan^(-1)(x)/(pi)<(pi)/(3),x in N," then the maximum value of "x" is "

If A = (1)/(pi) [{:(sin^(-1)(pix),, tan^(-1)((x)/(pi))),(sin^(-1)((x)/(pi)),,cot^(-1)((x)/(pi))):}] B = (1)/(pi) [{:(-cos^(-1)(pix),, tan^(-1)((x)/(pi))),(sin^(-1)((x)/(pi)),,-tan^(-1)((x)/(pi))):}] then A - B is equal to

If A=(1)/(pi)[{:(sin^(-1)(pix),tan^(-1)((x)/(pi))),(sin^(-1)((x)/(pi)),cot^(-1)(pix)):}] and B=(1)/(pi) [{:(-cos^(-1)(pix), tan^(-1)((x)/(pi))),(sin^(-1)((x)/(pi)),-tan^(-1)(pix)):}] then A-B is equal to

If A=(1)/(pi)[[sin^(-1)(x pi),tan^(-1)((x)/(pi))sin^(-1)((x)/(pi)),cot^(-1)(x pi)]] and B=(1)/(pi)[[-cos^(-1)((x)/(pi)),cot^(-1)(x pi)]] and sin^(-1)(x pi),-tan^(-1)((x)/(pi))] find the value of A-B in terms of identity matrix

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

If A=(1)/(pi)[{:(sin^(-1)(pix),tan^(-1)((x)/(pi))),(sin^(-1)((x)/(pi)),cot^(-1)(pix)):}],B=(1)/(pi)[{:(-cos^(-1)(pix),tan^(-1)((x)/(pi))),(sin^(-1)((x)/(pi)),-tan^(-1)(pix)):}] , then A-B is equal to ......

If tan^(-1)((x+1)/(x-1))+tan^(-1)((x-1)/x)=pi+tan^(-1)(-7), then x=

If tan^(-1)((x+1)/(x-1))+tan^(-1)((x-1)/(x))=tan^(-1)(-7)+pi then x =

F(X)=(pi)/(2+tan^(-1))(x)/(pi)-inftyltxltinfty is a distribution of a continous random variable X then P(X le 1) is

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