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AnGrey18
@AnGrey18
July 2022
2
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решить неравенство: cos(-2x)>=1/2
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Dolphin789
Применены : чётность косинуса, его табличное значение
0 votes
Thanks 2
AnGrey18
минус перед (2х) убираем, потому что cos(-x)=cosx ?
okneret
Verified answer
Cos(-2x)=1÷2
cos(2x)=0.5
cos (2x)=1/2
cos (2П-2x)=1/2
2x=arccos(1/2)
2П-2x=arccos(1/2)
2x=П/3
2П-2x=П/3
2x=П/3+2Пk,k € Z
2П-2x=П/3+2Пk,k € Z
x=П/6+Пk, k € Z
x=5П/6 + Пk,k € Z
0 votes
Thanks 1
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Answers & Comments
Verified answer
Cos(-2x)=1÷2cos(2x)=0.5
cos (2x)=1/2
cos (2П-2x)=1/2
2x=arccos(1/2)
2П-2x=arccos(1/2)
2x=П/3
2П-2x=П/3
2x=П/3+2Пk,k € Z
2П-2x=П/3+2Пk,k € Z
x=П/6+Пk, k € Z
x=5П/6 + Пk,k € Z