6. cot⁡−1[1+sin⁡x+1−sin⁡x1+sin⁡x−1−sin⁡x],0<x<π2\cot ^{-1}\left[\frac{\sqrt{1+\sin x}+\sqrt{1-\sin x}}{\sqrt{1+\sin x}-\sqrt{1-\sin x}}\right], 0<x<\frac{\pi}{2}

Mathematics

Problem

6. cot⁡−1[1+sin⁡x+1−sin⁡x1+sin⁡x−1−sin⁡x],0<x<π2\cot ^{-1}\left[\frac{\sqrt{1+\sin x}+\sqrt{1-\sin x}}{\sqrt{1+\sin x}-\sqrt{1-\sin x}}\right], 0<x<\frac{\pi}{2}

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