If cosec⁡π32+cosec⁡π16+cosec⁡π8+cosec⁡π4+cosec⁡π2=cot⁡πk\operatorname{cosec} \frac{\pi}{32} + \operatorname{cosec} \frac{\pi}{16} + \operatorname{cosec} \frac{\pi}{8} + \operatorname{cosec} \frac{\pi}{4} + \operatorname{cosec} \frac{\pi}{2} = \cot \frac{\pi}{k}…

Problem

If cosec⁡π32+cosec⁡π16+cosec⁡π8+cosec⁡π4+cosec⁡π2=cot⁡πk\operatorname{cosec} \frac{\pi}{32} + \operatorname{cosec} \frac{\pi}{16} + \operatorname{cosec} \frac{\pi}{8} + \operatorname{cosec} \frac{\pi}{4} + \operatorname{cosec} \frac{\pi}{2} = \cot \frac{\pi}{k} , then the value of kk is a. 64 b. 96 c. 48 d. 32

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