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Nurai2001
@Nurai2001
July 2022
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помогите пожалуйста!!!!!!!!
1)Sin3x+sinx=2sin2x
2)Sin5x+sinx=2sin3x
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kavai697
1)sin(3x)+sin(x)=2*sin(2x)
2*sin(2x)*cos(x)=2*sin(2x)
2*sin(2x)*cos(x)-2*sin(2x)=0
2*sin(2x)*(cos(x)-1)=0
sin(2x)=0 x1=пк/2 kЄZ
cos(x)-1=0 x2=2пn nЄZ
Ответ: x=пк/2 kЄZ
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Answers & Comments
2*sin(2x)*cos(x)=2*sin(2x)
2*sin(2x)*cos(x)-2*sin(2x)=0
2*sin(2x)*(cos(x)-1)=0
sin(2x)=0 x1=пк/2 kЄZ
cos(x)-1=0 x2=2пn nЄZ
Ответ: x=пк/2 kЄZ