The number of common solution(s) of the trigonometric equations cos2x+ – InterviewSolution

1.	The number of common solution(s) of the trigonometric equations cos2x+(1−√3)=(2−√3)cosx and sin3x=2sinx, satisfying the inequality √3tanx−1≥0 in [0,5π] is
Answer» The number of common solution(s) of the trigonometric equations $cos 2 x + (1 - \sqrt{3}) = (2 - \sqrt{3}) cos x$ and $sin 3 x = 2 sin x,$ satisfying the inequality $\sqrt{3} tan x - 1 \geq 0$ in $[0, 5 π]$ is

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