If sin A = $\frac{2x}{(1+x^2)}$ , then what is tanA in ... - Trigonometry MCQ Solution

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।

$\frac{2x}{(1- x^2)}$ x $\frac{1}{x}$ $\frac{(1- x^2)}{2x}$

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} $

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

Detailed Solution & Logic

More Trigonometry Questions

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

Detailed Solution & Logic

Similar Practice Questions

More Trigonometry Questions