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MarineRaccoon
@MarineRaccoon
August 2022
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1-cosx=2sinx/2
по формуле половинного аргумента:
2sin^2(x/2)=2sinx/2
2sin^2(x/2)-2sinx/2=0
2sinx/2(sinx/2-1)=0
2sinx/2=0 или sinx/2-1=0
sinx/2=0 sinx/2=1
x/2=Пn x/2=П/2+2Пn
x=2Пn x=П+4Пn
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MarineRaccoon
как вы получили из 2sin^2(x/2) = 2sinx/2, sinx/2 =1?
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Answers & Comments
Verified answer
1-cosx=2sinx/2по формуле половинного аргумента:
2sin^2(x/2)=2sinx/2
2sin^2(x/2)-2sinx/2=0
2sinx/2(sinx/2-1)=0
2sinx/2=0 или sinx/2-1=0
sinx/2=0 sinx/2=1
x/2=Пn x/2=П/2+2Пn
x=2Пn x=П+4Пn