MyGoalPrep LogoMyGoalPrep.com

Trigonometry — Hard JEE math MCQ

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
  1. A. $-\frac{7 \pi}{9}$
  2. B. $-\frac{2 \pi}{9}$
  3. C. 0
  4. D. $\frac{5 \pi}{9}$

Solution

The correct option is **C**.

MATH

hard • PYQ Reworded
Question
Read carefully, then pick the best option.
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+cosec⁡x+2(tan⁡x−cot⁡x)=0\sqrt{3} \sec x+\operatorname{cosec} x+2(\tan x-\cot x)=0 in the set SS is equal to
AI hints
Ask for a nudge. Keep it specific.
Trigonometry — Hard JEE Mathematics MCQ | MyGoalPrep