JEE Advanced 2016JEE Adv 2016 Paper 1, Paper 1MathematicsHardUnclassified (maths)Let S={x∈(−π,π):x≠0,±π2}S=\left\{x \in(-\pi, \pi): x \neq 0, \pm \frac{\pi}{2}\right\}S={x∈(−π,π):x=0,±2π}. The sum of all distinct solutions of the equation 3secx+cosecx+2(tanx−cotx)=0\sqrt{3} \sec x+\operatorname{cosec} x+2(\tan x-\cot x)=03secx+cosecx+2(tanx−cotx)=0 in the set SSS is equal toAOption A. −7π9-\frac{7 \pi}{9}−97πBOption B. −2π9-\frac{2 \pi}{9}−92πCOption C. 0DOption D. 5π9\frac{5 \pi}{9}95πCheckStep-by-step hintSkip · show solution