" (b) "tan^(-1)((2^(x+1))/(1-4^(x)))" (सiकेत "2^(x)=tan theta)

sin ^(-1) ((2^(x +1))/( 1 + 4 ^(x))) ({:(put), ( 2 ^(x) = tan theta ):})

tan^(-1)((a)/(x))+tan^(-1)((b)/(x))=(pi)/(2) then x=

If tan ^(-1) ((a)/(x))+tan ^(-1) ((b)/(x))=(pi)/(2), then x=

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

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

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

If "Tan"^(-1)1/(1+2x)+"Tan"^(-1)1/(4x+1)" = Tan"^(-1)2/(x^(2)) then x(x!=0)=

If x_(1),x_(2),x_(3) are the real roots of the equation x^(3)-x^(2)tantheta+xtan^(2)theta+tantheta=0and0ltthetalt(pi)/(4) then the value of tan^(-1)x_(1)+tan^(-1)x_(2)+tan^(-1)x_(3)" at "theta=(pi)/(12) is