If 3x+2tanx=π, x ∈ [-2π, 2π]-{± π/2, ± -3π/2}. Then number of values of that satisfies the above equation is

Question

If \(3x + 2 \tan x = \pi , x \in [-2\pi, 2\pi] - \{\pm \frac{\pi}{2}, \frac{3\pi}{2}\}.\) Then number of values of that satisfies the above equation is

(1) 7 

(2) 5 

(3) 4 

(4) 6

Answer 1

Correct option is: (2) 5  

\(3x + 2 \tan x = \pi , x \in [-2\pi, 2\pi] - \{\pm \frac{\pi}{2}, \frac{3\pi}{2}\}.\)

\(\tan x = \frac{\pi-3x}{2}\)