For \(x \in \left( { - \frac{{3\pi }}{2},\frac{\pi }{2}} \right)\), the expression \({\cot ^{ - 1}}\left( {\frac{{1 - \sin x}}{{\cos x}}} \right)\) can be simplified as:
1
\(\frac{\pi }{4} + \frac{x}{2}\)
2
\(\frac{\pi }{4} - \frac{x}{2}\)
3
tan x
4
tan (-x)
5
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