The number of solutions of the equation (4-√3) sin x - 2√3 cos^2 x = -4/1+√3, x ∈ [-2π, 5π/2]

Question

The number of solutions of the equation \((4-\sqrt3) \sin x -2\sqrt3\cos^2 x = \frac{-4}{1+\sqrt3}, x \in [-2\pi , \frac{5\pi}{2}]\) 

(1) 4 

(2) 6 

(3) 5 

(4) 3

Answer 1

Correct option is: (3) 5 

\((4-\sqrt3) \sin x -2\sqrt3\cos^2 x = \frac{-4}{1+\sqrt3}\) 

number of solutions in \(\left[-2\pi, \frac{5\pi}{2}\right]=5\)