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PolyMic1
@PolyMic1
August 2022
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cos3x+cos2x+cosx=0 решить уравнение
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sinusoida2000
Cos2x+(cosx+cos3x)=cos2x+(2cos (3x+x)/2*cos(3x-x)/2)=cos2x+2cos2xcosx=cos2x(1+2cosx)=0
cos2x=0
2x=+-p/2+2pk
x=+-p/4+pk
1+2cosx=0
cosx=-1/2
x=+-p/6+2pk
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Answers & Comments
cos2x=0
2x=+-p/2+2pk
x=+-p/4+pk
1+2cosx=0
cosx=-1/2
x=+-p/6+2pk