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When can \(\tan^{-1}(\tan x)=x\) be directly true?\(\tan^{-1}(\tan x)=x\) कब सीधे सही माना जा सकता है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: When \(x\in\left(-\frac{\pi}{2},\frac{\pi}{2}\right)\)जब \(x\in\left(-\frac{\pi}{2},\frac{\pi}{2}\right)\)
The principal range of \(\tan^{-1}x\) is \(\left(-\frac{\pi}{2},\frac{\pi}{2}\right)\). Therefore that interval is the correct choice.\(\tan^{-1}x\) की प्रधान सीमा \(\left(-\frac{\pi}{2},\frac{\pi}{2}\right)\) है। इसलिए वही अंतराल सही चयन है।
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