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Find the principal value of \(\cos^{-1}(1)\).\(\cos^{-1}(1)\) का principal value ज्ञात कीजिए।
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Correct answer:सही उत्तर: \(0\)\(0\)
By definition, \(\cos^{-1}(1)=\theta\) where \(\cos\theta=1\) and \(\theta\) lies in the principal range \([0,\pi]\). The only angle in \([0,\pi]\) with \(\cos\theta=1\) is \(\theta=0\). So \(\cos^{-1}(1)=0\).परिभाषा के अनुसार \(\cos^{-1}(1)=\theta\) जहाँ \(\cos\theta=1\) और \(\theta\) principal range \([0,\pi]\) में होता है। \([0,\pi]\) में वह एकमात्र कोण जिसके लिए \(\cos\theta=1\) है, वह है \(\theta=0\)। अतः \(\cos^{-1}(1)=0\).
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