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Dmitri19981
@Dmitri19981
July 2022
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[tex]cos^{3}x+ sin^{4}x=1[/tex] Пожалуйста по возможности побыстрее!
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mathgenius
Cos^3(x)+sin^4(x)-cos^2(x)-sin^2(x)=0cos^2(x)*(cosx-1)-sin^2(x)*(1-sin^2(x))=0cos^2(x)*(cosx -1) -cos^2(x)*sin^2(x)cos^2(x)*(cosx-1-sin^2(x))=0cos^2(x)*(cos^2(x)+cos(x)-2)=0cos^2(x)*(cos(x)-1)*(cos(x)+2)=01)cos^2(x)=0cosx=0x=pi/2+pi*n;2)cosx=1x=2*p*n;3) cos(x)=-2<-1 решений нет.
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