For \( 0\theta\frac{\pi}{2} \), the solution(s) of \( \sum_{m=1}^{6} \operatorname{cosec}\left(\...

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For \( 0\theta\frac{\pi}{2} \), the solution(s) of \( \sum_{m=1}^{6} \operatorname{cosec}\left(\theta+\frac{(m-1) \pi}{4}\right) \operatorname{cosec}\left(\theta+\frac{m \pi}{4}\right)=4 \sqrt{2} \) is (are)
V
(A) \( \frac{\pi}{4} \)
(B) \( \frac{\pi}{6} \)
(C) \( \frac{\pi}{12} \)
(D) \( \frac{5 \pi}{12} \)
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