JEE Advanced_2016_S1 ( Mathematics 2016 Q-3 ) - Competishun – Live JEE & NEET Courses and Exam Prep

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JEE Advanced 2016

Paper-1 2016

Question

Let $S=\left\{x \in(-\pi, \pi): x \neq 0, \pm \frac{\pi}{2}\right\}$, The sum of all distinct solutions of the equation $\sqrt{3} \sec x+\operatorname{cosec} x+2(\tan x-\cot x)=0$ in the set $S$ is equal to

Select the correct option:

A

$-\frac{7 \pi}{9}$

B

$-\frac{2 \pi}{9}$

C

0

D

$\frac{5 \pi}{9}$

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