Mathematics

Mathematics

Problem

cot⁡−1(1−x21+x2)\cot^{-1}\left(\sqrt{\frac{1-x^2}{1+x^2}}\right) is equal to a. cos⁡−1(x2)\cos^{-1}(x^2) b. π2−12cos⁡−1(x2)\frac{\pi}{2} - \frac{1}{2}\cos^{-1}(x^2) c. π3−12cos⁡−1(x2)\frac{\pi}{3} - \frac{1}{2}\cos^{-1}(x^2) d. None of these

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