Помогите решить cos2x*cosx=cos2,5x*cos0,5x - №16552732

Помогите решить cos2x*cosx=cos2,5x*cos0,5x
- Предмет:
  Алгебра
- Автор:
  rubydonaldson
- 6 лет назад

Ответы 2

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- Автор:
  raven43
- 6 лет назад
- 0
1/2(cosx+cos3x)=1/2(cos2x+cos3x)cosx+cos3x-cos2x-cos3x=0cosx-cos2x=02sin(x/2)sin(3x/2)=0sin(x/2)=0⇒x/2=π/2+πn,n∈z⇒x=π+2πn,n∈zsin(3x/2)=0⇒3x/2=π/2+πk,k∈z⇒x=π/3+2πk/3,k∈z
- Автор:
  edmundo
- 6 лет назад
- 0
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