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When can \(\cos^{-1}(\cos x)=x\) be directly true?\(\cos^{-1}(\cos x)=x\) कब सीधे सही माना जा सकता है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: When \(x\in[0,\pi]\)जब \(x\in[0,\pi]\)
The principal range of \(\cos^{-1}x\) is \([0,\pi]\). Therefore \(\cos^{-1}(\cos x)=x\) applies directly only in this range.\(\cos^{-1}x\) की प्रधान सीमा \([0,\pi]\) है। इसलिए \(\cos^{-1}(\cos x)=x\) इसी सीमा में सीधे लागू होता है।
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