Предмет: Алгебра, автор: Yuliana999

1-sin3x=(sinx/2-cosx/2)^2

Ответы

Автор ответа: sedinalana

1-sin3x=sin²x/2-2sin(x/2)cos(x/2)+cos²x/2
1-sin3x=1-sinx
sin3x=sinx
sin3x-sinx=0
2sinxcos2x=0
sinx=0⇒x=πn,n∈z
cos2x=0⇒2x=π/2+πk⇒x=π/4+πk/2,k∈z

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