How can I solve the trigonometric equation $$4\sin x\cos x+2\sqrt3\sin x-2\cos x-\sqrt3=0$$
I used to replace $\sin x$ by $\sqrt{1-\cos^2 x}$ but doesn't work very well ;°
I just want a hint kiss:°
2026-05-15 06:12:44.1778825564
How to solve $4\sin x\cos x+2\sqrt3\sin x-2\cos x-\sqrt3=0$?
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Hint: Note that $$4\sin x\cos x+2\sqrt3\sin x-2\cos x-\sqrt3=0$$ is equivalent to $$\left(2\sin x-1\right)\left(2\cos x+\sqrt3\right)=0.$$ Can you take it from here?
I hope this helps.
Best wishes, $\mathcal H$akim.