\( \operatorname{cosec} \theta+\operatorname{cosec} 2 \theta+\operatorname{cosec} 2^{2} \theta+\...

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\( \operatorname{cosec} \theta+\operatorname{cosec} 2 \theta+\operatorname{cosec} 2^{2} \theta+\ldots+\operatorname{cosec} 2^{n-1} \theta= \)
(a) \( \cot (\theta / 2)-\cot 2^{n-1} \theta \)
(b) \( \cot (\theta / 2)+\cot 2^{n-1} \theta \)
(c) 0
(d) \( \frac{\tan 2^{n} \theta}{\tan \theta} \)
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