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The value of $\cot^{- 1} [\frac{\sqrt{1 - \sin x} + \sqrt{1 + \sin x}}{\sqrt{1 - \sin x} - \sqrt{1 + \sin x}}]$ is

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Correct option is B

cot−1⁡cos⁡12x−sin⁡12x+cos⁡12x+sin⁡12xcos⁡12x−sin⁡12x−cos⁡12x+sin⁡12x=cot−1⁡−cot⁡12x=cot−1⁡cot⁡π−12x=π−12x

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The value of cot−1⁡1−sin⁡x+1+sin⁡x1−sin⁡x−1+sin⁡x is

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The value of $\cot^{- 1} [\frac{\sqrt{1 - \sin x} + \sqrt{1 + \sin x}}{\sqrt{1 - \sin x} - \sqrt{1 + \sin x}}]$ is