The number of solutions of the equation $2 x+3 \tan x=\pi, x \in[-2 \pi, 2 \pi]-\left\{ \pm \frac{\pi}{2}, \pm \frac{3 \pi}{2}\right\}$ is

• A

  $6$
• Correct answer
  B

  $5$
• C

  $4$
• D

  $3$

Solution

$\tan \mathrm{x}=\frac{\pi}{3}-\frac{2 \mathrm{x}}{3}$

5 solutions

Hence, the correct answer is option: 'B'.