Number of common solution(s) of the trigonometric equations cos 2x+(1 – InterviewSolution

1.	Number of common solution(s) of the trigonometric equations cos 2x+(1−√3)=(2−√3)cos x and sin 3x=2 sin x which satisfy the inequality √3tan x−1≥0 in [0,5π] is
Answer» Number of common solution(s) of the trigonometric equations $cos 2 x + (1 - \sqrt{3}) = (2 - \sqrt{3}) cos x$ and $sin 3 x = 2 sin x$ which satisfy the inequality $\sqrt{3} tan x - 1 \geq 0$ in $[0, 5 π]$ is

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