Mathematics

Mathematics

Problem

Statement I Number of roots of the equation cot⁡−1xcos⁡−12x+π=0\cot^{-1} x \cos^{-1} 2x + \pi = 0 is zero. Statement II Range of cot⁡−1x\cot^{-1} x and cos⁡−1x\cos^{-1} x is (0,π)(0, \pi) and [0,π][0, \pi] , respectively.

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