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lovelycat_handoi95

[TEX]2sin3x(sinx+\sqrt{3}cosx)=4\\ \Leftrightarrow 4sin3x.sin(x+\frac{\pi}{3})=4\\\Leftrightarrow sin3x.sin(x+\frac{\pi}{3})=1\\\Leftrightarrow \[{\{sin3x=1\\sin(x+\frac{\pi}{3})=1}\\\{sin3x=-1\\sin(x+\frac{\pi}{3})=-1[/TEX]
 
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