Prove that, `"tan"^(-1)(a)/(b)-"tan"^(-1)((a-b)/(a+b))=(pi)/(4)`.

Prove that "tan"^(-1)(ap-q)/(aq+p)+"tan"^(-1)(b-a)/(ab+1)+"tan"^(-1)(c-b)/(bc+1)="tan"^(-1)(p)/(q)-"tan"^(-1)(1)/(c )

Prove that, tan^(-1)a+tan^(-1)b+tan^(-1)((1-a-b-ab)/(1+a+b-ab))=(pi)/(4) .

Prove that "tan"^(-1)sqrt((a(a+b+c))/(bc))+"tan"^(-1)sqrt((b(a+b+c))/(ca))+"tan"^(-1)sqrt((c(a+b+c))/(ab))=pi(a,b,c gt 0)

Prove that, "tan"^(-1)(1)/(2xx1^(2))+"tan"^(-1)(1)/(2xx2^(2))+"tan"^(-1)(1)/(2xx3^(2))+…oo=(pi)/(4)

If C is a right angle in the triangle ABC, show that, tan^(-1) 'a/(b+c)' + tan^(-1) 'b/(c+a)' = pi/4 .

prove that , tan ^(-1)""(b-c)/(1+bc)+tan^(-1)""(c-a)/(1+ca)+tan ^(-1 )""(a-b )/(1+ab)=0 .

prove that , 4 tan ^(-1) ""(1)/(5) -tan ^(-1 )""(1)/(70) + tan ^(-1) ""(1)/(99) = (pi)/(4) .

Prove that tan ^(-1)"" (4)/(3)+ tan ^(-1) "" (12)/(5) =pi - tan ^(-1) "" (56)/(33) .

prove that tan((pi)/(4)+(1)/(2) cos ^(-1)""(a) /(b) )+tan ((pi)/(4) -(1)/(2) cos ^(-1) ""(a)/(b))=(2b)/(a).

If in triangleABC, tan^(-1)(a/(b+c))+ tan^(-1)(c/(a+b)) = pi/4 , then prove that, the triangle is right angled.