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

Question

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

Professor PC Thomas Classes · Answer

(b): We have, $2 x+3 	an x=\pi$\ $\Rightarrow \quad 	an x=\frac{\pi}{3}-\frac{2 x}{3}$\  ∴ Number of solutions $=5$\