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On which restricted interval is the inverse (\cos^{-1}x) defined from (\cos x)?किस प्रतिबंधित अंतराल पर (\cos x) का प्रतिलोम (\cos^{-1}x) परिभाषित किया जाता है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (\left[0,\pi\right])(\left[0,\pi\right])
The function (\cos x) is made one-one on (\left[0,\pi\right]). Therefore the range of (\cos^{-1}x) is (\left[0,\pi\right]).(\cos x) को (\left[0,\pi\right]) पर एक-एक बनाया जाता है। इसलिए (\cos^{-1}x) का परिसर (\left[0,\pi\right]) होता है।
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