If sin A = \(\frac{2x}{(1+x^2)}\) , then what is tanA in items of X?
If sin A = \(\frac{2x}{(1+x^2)}\) , then what is tanA in items of X?
यदि sinA = \(\frac{2x}{(1+x^2})\) तो tanA का मान X के रूप में ज्ञात कीजिए।
Detailed Solution & Logic
Correct Answer:
\(\frac{2x}{(1- x^2)}\)
$ \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} $
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