If \( \cot (x / 2)-\operatorname{cosec}(x / 2)=\cot x \), then \( x= \) (A) \( 2 n \pi \pm \frac...

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If \( \cot (x / 2)-\operatorname{cosec}(x / 2)=\cot x \), then \( x= \)
(A) \( 2 n \pi \pm \frac{\pi}{3} \)
(B) \( 2 n \pi \)
(C) \( 4 n \pi \pm \frac{2 \pi}{3} \)
(D) None of these
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