sin4x-cos^4x=-sin^4x решите пожалуйста

sin4x-cos^4x=-sin^4x
решите пожалуйста
- Предмет:
  Алгебра
- Автор:
  albertjackson
- 5 лет назад

Ответы 1

sin4x-cos⁴x=-sin⁴xsin4x=cos⁴x-sin⁴xsin4x=(cos²x-sin²x)(cos²x+sin²x)|cos²x+sin²x=1|cos²x-sin²x=cos2x|sin4x=2sin2xcos2x2sin2xcos2x=cos2xcos2x(2sin2x-1)=01) cos2x=02x=(π/2)+πnx=(π/4)+(π/2)*n,n∈Z2)2sin2x-1=0sin2x=0.51|2x=(π/6)+2πnx=(π/12)+πn,n∈Z2|2x=π-(π/6)+2πnx=(5π/12)+πn,n∈Z.
- Автор:
  francaisblair
- 5 лет назад
- 0
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sin4x-cos^4x=-sin^4x решите пожалуйста

Ответы 1

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sin4x-cos^4x=-sin^4x
решите пожалуйста