cos^2x-3cosx=0 помогите решить. Created by Arctics. algebra-ru

cos^2x-3cosx=0 помогите решить...

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August 2022 1 8 Report

cos^2x-3cosx=0 помогите решить

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NeZeRAvix

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$cos^2x-3cosx=0 \\ cosx(cosx-3)=0 \\ \\ cosx=0 \\ x= \dfrac{\pi}{2}+\pi k;\ k \in Z \\ \\ cosx-3=0 \\ cosx=3 \notin [-1; 1]$
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Ответ: $x= \dfrac{\pi}{2}+\pi k;\ k \in Z$

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