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RainBoOw
@RainBoOw
August 2022
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cos(3П+x/2)-cos(П+x)=1
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VVVcommander
-cosx/2+cosx=1
1-2cos²x+cosx=1
2cos²x-cosx=0
cosx(2cosx-1)=0
cosx=0 или cosx=1/2
x=π/2+πk
x=+/- π/3+2πk, k∈Z
1 votes
Thanks 1
RainBoOw
(3П+x/2)-всё это выражение делится на 2
VVVcommander
sinx/2+cosx=1
VVVcommander
sinx/2+1-2sin^2x/2=1
VVVcommander
sinx/2(1-2sinx/2)=0
VVVcommander
x/2=Пк или x/2=+/- П/3 +2Пк
VVVcommander
х=2Пк или х=+/- 2П/3 +4Пк
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Answers & Comments
1-2cos²x+cosx=1
2cos²x-cosx=0
cosx(2cosx-1)=0
cosx=0 или cosx=1/2
x=π/2+πk
x=+/- π/3+2πk, k∈Z