If , then the value of…

MATHEMATICS · Single correct · ISC · Mathematics · Sets and Functions · Sets and Functions

Problem

\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

k

is (1) 64 (2) 96 (3) 48 (4) 32