[" 12.Res colver "],[qquad [" (i) "tan^(-1)(a)/(b)-tan^(-1),(a-b)/(a+b)=(pi)/(4)]]

tan^(-1)((a)/(b))-tan((a-b)/(a+b))=(pi)/(4)

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

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

tan ^ (- 1) ((a) / (b)) - tan ^ (- 1) ((ab) / (a + b)) = (pi) / (4)

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

If in triangle ABC, C = 90^circ then prove that tan^(-1) (a/(c+b)) + tan^(-1) (b/(a+c)) = pi/4 .

In a triangle A B C , , if C is a right angle, then tan^(-1)(a/(b+c))+tan^(-1)(b/(c+a))= (a) pi/3 (b) pi/4 (c) (5pi)/2 (d) pi/6

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

Let (a,b) satisfy following equation tan^(-1)a+tan^(-1)b=(pi)/(4),tan^(-1)((1)/(a))+tan^(-1)b=tan^(-1)(7) then