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elnur4523
@elnur4523
July 2022
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решите, пожалуйста, срочно надо
6cos^x-5sinx-2=0
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sedinalana
Verified answer
6-6sin²x-5sinx-2=0
sinx=a
6a²+5a-4=0
D=25+96=121
a1=(-5-11)/12=-4/3⇒sinx=-4/3<-1 нет решения
a2=(-5+11)/12=1/2⇒sinx=1/2⇒x=(-1)^n*π/6+πk,k∈z
2 votes
Thanks 1
Sullltann
6(1-sinx^2)-5sinx-2=06-6sin^2x-5sinx-2=0Sinx=y6-6y^2-5y-2=0-6y^2-5y+4=06y^2+5y-4=0X1=-4/3 x2=1/2X2=(-1)^n•П/6+Пn
2 votes
Thanks 2
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Answers & Comments
Verified answer
6-6sin²x-5sinx-2=0sinx=a
6a²+5a-4=0
D=25+96=121
a1=(-5-11)/12=-4/3⇒sinx=-4/3<-1 нет решения
a2=(-5+11)/12=1/2⇒sinx=1/2⇒x=(-1)^n*π/6+πk,k∈z