If sin A = \(\frac{2x}{(1+x^2)}\) , then what is tanA in items of X?

$ \sin A=\frac{2x}{1+x^2} $
$ \sin A=\frac{2\tan\frac{A}{2}}{1+\tan^2\frac{A}{2}} $
$ \tan\frac{A}{2}=x $
$ \tan A=\frac{2\tan\frac{A}{2}}{1-\tan^2\frac{A}{2}} $
$ \tan A=\frac{2x}{1-x^2} $