luong giac cuc kho

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hothithuyduong

[TEX]cos2x-cos6x+12sinx-16sin^3x+4=0[/TEX]

[TEX]\leftrightarrow cos2x - cos6x + 4(3sinx - 4sin^3x) + 4 = 0( [/TEX]

[TEX]\leftrightarrow cos2x - 1 + 2sin^23x + 4sin3x + 4 = 0 [/TEX]

[TEX]\leftrightarrow 2cos^2x + 2(sin3x + 1)^2 = 0[/TEX]

[TEX]\leftrightarrow \left{\begin{cosx = 0}\\{sin3x = -1}[/TEX]

[TEX]\leftrightarrow x = \frac{\pi}{2} + k2\pi [/TEX]
 
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