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If sin A = x, then what is the value of tanA in terms of x?

If sin A = x, then what is the value of tanA in terms of x?
यदि sin A = x, तो tan A का मान x के संदर्भ में क्या हैं?

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

Detailed Solution & Logic

Correct Answer:

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

Given:
$\sin A = x$

Using identity:
$\sin^2 A + \cos^2 A = 1$

So,
$\cos^2 A = 1 - \sin^2 A$

$= 1 - x^2$

$\cos A = \sqrt{1 - x^2}$

Now,
$\tan A = \frac{\sin A}{\cos A}$

$= \frac{x}{\sqrt{1 - x^2}}$

Final Answer:
$\frac{x}{\sqrt{1 - x^2}}$ ✅

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