If sin^(-1)((2a)/(1+a^2))+sin^(-1)((2b)/...

If `sin^(-1)((2a)/(1+a^2))+sin^(-1)((2b)/(1+b^2))=2tan^(-1)x ,` then `x` is equal to `[a , b , in (0,1)]` (a)`(a-b)/(1+a b)` (b) `b/(1+a b)` (c) `b/(1+a b)` (d) `(a+b)/(1-a b)`

Similar Questions

Explore conceptually related problems

If sin^(-1)((2a)/(1+a^(2)))+sin^(-1)((2b)/(1+b^(2)))= 2cot^(-1)((1)/(x)) , then x is equal to [AA a, b in (0, 1)]

41. If sin(-)((2a)/(1+a^(2)))+sin((2b)/(1+b^(2)))=2tan^(-1)x, then x may be

Let sin^(-1)((2{x})/(1+{x}^(2)))=A+B tan^(-1)({x}) then A-B is equal to

Solve : sin^(-1)((2a)/(1+a^2)) + cos^(-1)( (1-b^2)/(1+b^2)) = 2 tan^(-1) x,|a|le1, |b|ge 0 .

sin^(-1)(2(a)/(1)+a^(2))+(cos^(-1)(1-b^(2)))/(1+b^(2))=tan^(-1)(2(a)/(1)-x^(2)) the provet widehat x=(a-b)/(1+ab)

If sin A=a cos B and cos A=b sin B then (a^(2)-1)tan^(2)A+(1-b^(2))tan^(2)B is equal to

If 1/sqrt(2) le x le 1 and sin^(-1)(2xsqrt(1-x^(2))) = A + B sin^(-1)x , then (A,B)=

If sin^(-1)a+sin^(-1)b+sin^(-1)c=pi, then a sqrt(1-a^(2))+b sqrt(1-b^(2))+c sqrt(1-c^(2)) is equal to a+b+c( b )a^(2)b^(2)c^(2)2abc(d)4abc

If a sin^(-1)x-b cos^(-1)x=c, then a sin^(-1)x+b cos^(-1)x is equal to (a)0(b)(pi ab+c(b-a))/(a+b)(c)(pi)/(2)(d)(pi ab+c(a-b))/(a+b)