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annagrishchenko
@annagrishchenko
July 2022
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Решить уравнение cos²x-0.75=cos2x
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kirichekov
Verified answer
Cos²x-0,75=cos2x
cos2x=2cos²x-1
cos²x-0,75-(2cos²x-1)=0
cos²x-0,75-2cos²x+1=0
cos²x=0,25
1. cosx=-0,5
∈Z
2. cosx=0,5
∈Z
∈Z
2 votes
Thanks 1
annagrishchenko
спасибо
kirichekov
рада помочь
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Answers & Comments
Verified answer
Cos²x-0,75=cos2xcos2x=2cos²x-1
cos²x-0,75-(2cos²x-1)=0
cos²x-0,75-2cos²x+1=0
cos²x=0,25
1. cosx=-0,5
∈Z
2. cosx=0,5
∈Z
∈Z