JEE Advanced 2016

JEE Main 2016 Mathematics question on Trigonometry

Let S={x∈(−π,π):x≠0,±π2}S = \left\{x \in (-\pi, \pi): x \neq 0, \pm\frac{\pi}{2}\right\}. The sum of all distinct solutions of the equation 3sec⁡x+csc⁡x+2(tan⁡x−cot⁡x)=0\sqrt{3}\sec x + \csc x + 2(\tan x - \cot x) = 0 in the set SS is equal to
  1. A.
    −7π9-\frac{7\pi}{9}
  2. B.
    −2π9-\frac{2\pi}{9}
  3. C.
    00
  4. D.
    5π9\frac{5\pi}{9}
Show answer

Correct option: C

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