Question

Prove that 2 cosec 2x + cosec x = sec x. cot (x/2)​

Answer 1

Step-by-step explanation:

$2cosec2x + cosecx = secx.cot \frac{x}{2} \\ l.h.s \\ \frac{2}{2sinx \: cosx} + \frac{1}{cosx} \\ \frac{1 + cosx}{sinx \: cosx} \\ \frac{2 {cos}^{2} \frac{x}{2} }{2sin \frac{x}{2} cos \frac{x}{2}cosx } \\ \frac{cos \frac{x}{2} }{sin \frac{x}{2} cosx} \\ secx.cot \frac{x}{2} \\ \\ hope \: it \: will \: help \: you.$