Problem

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 a.

\frac{\pi}{4}

\frac{\pi}{6}

\frac{\pi}{12}

\frac{5\pi}{12}