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?
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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