For x \in (−\frac{3\pi }{2},\frac{\pi }{2}), the expression \cot ^{−1} (\frac{1− \sin ⁡x}{\cos ⁡x}) can be simplified as:

Correct Answer is : \;{π\;}/{4} + \;{x}/{2}

Agniveer Vayu or IAF Group X 13 July 2021 Shift 3 Paper

Question : 44 of 70

Marks: +1, -0

For $x ∈ (−\;{3π\;}/{2},\;{π\;}/{2}) $, the expression $\cot ^{−1} (\;{1−\ sin\;⁡x}/{\cos\;⁡x}) $ can be simplified as:

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