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emmahangereevaa
@emmahangereevaa
August 2021
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ВОСЬМОЙ ПРИМЕР ПОЖАЛУЙСТА
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7NoD7
X+p/3=y
Cos2y+4siny=2,5
cos2y=cos^2y-sin^2y=1-2sin^2y
1-2sin^2y+4siny-2,5=0 (*-1)
2sin^2y-4siny+1,5=0 (:0,5)
4sin^2y-8siny+3=0
(2siny-3)(2siny-1)=0
Siny=1,5 не будет т.к sin€[-1;1]
Siny=1/2
Y=(-1)^k*p/6+pk
Y=x+p/3
X=y-p/3
X=(-1)^k*p/6-p/3+pk
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Answers & Comments
Cos2y+4siny=2,5
cos2y=cos^2y-sin^2y=1-2sin^2y
1-2sin^2y+4siny-2,5=0 (*-1)
2sin^2y-4siny+1,5=0 (:0,5)
4sin^2y-8siny+3=0
(2siny-3)(2siny-1)=0
Siny=1,5 не будет т.к sin€[-1;1]
Siny=1/2
Y=(-1)^k*p/6+pk
Y=x+p/3
X=y-p/3
X=(-1)^k*p/6-p/3+pk