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Евгений555
@Евгений555
July 2022
1
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Помогите!!! Решить уравнение
sinx-sin2x+sin3x=sin4x
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Answers & Comments
mikael2
Verified answer
Sinx-sin2x+sin3x-sin4x=0
-2cos(3x/2)sin(x/2)-2cos(7x/2)sin(x/2)=0
sin0.5x=0 1/2x=πn
x=2πn
cox(3x/2)+cos(7x/2)=0
2cos (10x/2)cos(4x/2)=0
c0s (5x)=0 5x=π/2+πn
x=π/10+πn/5
cos2x=0 2x=π/2+πn
x=π/4+πn/2
2 votes
Thanks 1
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Answers & Comments
Verified answer
Sinx-sin2x+sin3x-sin4x=0-2cos(3x/2)sin(x/2)-2cos(7x/2)sin(x/2)=0
sin0.5x=0 1/2x=πn x=2πn
cox(3x/2)+cos(7x/2)=0
2cos (10x/2)cos(4x/2)=0
c0s (5x)=0 5x=π/2+πn x=π/10+πn/5
cos2x=0 2x=π/2+πn x=π/4+πn/2