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What is the principal value of \(\left(\tan^{-1}0\right)\) ?\(\left(\tan^{-1}0\right)\) का principal value क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(0\)\(0\)
Principal value of \(\tan^{-1}x\) is the angle \(\theta\) in \(
\left[-\dfrac{\pi}{2},\dfrac{\pi}{2}\right]\) such that \(\tan\theta=x\). If \(x=0\), then \(\tan\theta=0\) which happens at \(\theta=0\). Hence \(\tan^{-1}0=0\).\(\tan^{-1}x\) का principal value वह कोण \(\theta\) है जो \(
\left[-\dfrac{\pi}{2},\dfrac{\pi}{2}\right]\) में हो और जिसके लिए \(\tan\theta=x\) हो। जब \(x=0\) हो, तो \(\tan\theta=0\) होगा, जो \(\theta=0\) पर होता है। इसलिए \(\tan^{-1}0=0\) है।
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