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niemkieuloveahbu

[TEX]cos10x+2cos^24x+6cos3xcosx=cosx+8cosxcos^33x\\ \Leftrightarrow cos10x+2cos^24x=cosx+2cosx(4cos^33x-3cos3x)\\ \Leftrightarrow cos10x+2cos^24x=cosx+2cosxcos9x\\ \Leftrightarrow cos10x+2cos^24x=cosx+cos10x+2cos^24x-1\\ \Leftrightarrow cosx=1[/TEX]
 
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