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If \(y=\tan^{-1}x\), which relation is correct?यदि \(y=\tan^{-1}x\) हो तो सही संबंध कौन सा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(\tan y=x\) and \(y\in\left(-\frac{\pi}{2},\frac{\pi}{2}\right)\)\(\tan y=x\) और \(y\in\left(-\frac{\pi}{2},\frac{\pi}{2}\right)\)
The expression \(y=\tan^{-1}x\) means \(\tan y=x\). Here (y) stays in the principal range \(\left(-\frac{\pi}{2},\frac{\pi}{2}\right)\).\(y=\tan^{-1}x\) का मतलब \(\tan y=x\) होता है। यहां (y) प्रधान सीमा \(\left(-\frac{\pi}{2},\frac{\pi}{2}\right)\) में रहता है।
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