JEE Advanced 2016 Paper 1 Mathematics Q3

Mathematics

Problem

Let S={x∈(−π,π):x≠0, ±π2}S=\left\{x\in(-\pi,\pi):x\ne0,\,\pm\frac{\pi}{2}\right\}. The sum of all distinct solutions of the equation 3sec⁡x+cosec⁡x+2(tan⁡x−cot⁡x)=0\sqrt3\sec x+\operatorname{cosec}x+2(\tan x-\cot x)=0 in the set SS is equal to

Browse the problem library