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MATHEMATICS · Single correct · CBSE · Mathematics · Inverse Trigonometric Functions · Inverse Trigonometric Functions

Problem

cot⁡−1(1−x21+x2)\cot^{-1}\left(\sqrt{\frac{1-x^2}{1+x^2}}\right) is equal to (1) cos⁡−1(x2)\cos^{-1}(x^2) (2) π2−12cos⁡−1(x2)\frac{\pi}{2}-\frac{1}{2}\cos^{-1}(x^2) (3) π3−12cos⁡−1(x2)\frac{\pi}{3}-\frac{1}{2}\cos^{-1}(x^2) (4) None of these

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