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प्रश्न
What are the domain and range / principal value of \[y=\tan^{-1}x\]?
विकल्प
Domain \[[-1,1]\]; range / principal value \[[-\frac{\pi}{2},\frac{\pi}{2}]\]
Domain \[\mathbb{R}\]; range / principal value \[(0,\pi)\]
Domain \[\mathbb{R}\]; range / principal value \[(-\frac{\pi}{2},\frac{\pi}{2})\]
Domain \[(-\infty,-1]\cup[1,\infty)\]; range / principal value \[[0,\pi]\setminus\{\frac{\pi}{2}\}\]
MCQ
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उत्तर
Every real number is in the domain of \[y=\tan^{-1}x\]. Its range / principal value is the open interval \[(-\frac{\pi}{2},\frac{\pi}{2})\].
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