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Консультация № 152473
01.12.2008, 09:12
0.00 руб.
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1
1
Помогите пожалуйста.УВажаемые эксперты..
cos 6x=2sin (3П/2+2x)
cos 6x=2sin (3П/2+2x)
Обсуждение
Неизвестный
01.12.2008, 10:10
общий
это ответ
Здравствуйте, Iriha!
cos 6x=2sin (3П/2+2x)
4*((сos2x)^3)-3*cos2x=-2*cos2x
4*((cos2x)^3)-cos2x=0
(cos2x)*(4*((cos2x)^2)-1)=0
(cos2x)*(2*cos2x-1)*(2*cos2x+1)=0
Получается 3 решения ...
сos(2x1)=0=>x1=+-arccos0+2*Pi*n=+-(Pi/2)+2*Pi*n
cos(2x2)=1/2=>x2=+-arccos(1/2)+2*Pi*n=+-(Pi/3)+2*Pi*n
cos(2x3)=-1/2=>x3=+-arccos(-1/2)+2*Pi*n=+-(2*Pi/3)+2*Pi*n
Во всех случаях число n принадлежит целым числам .
cos 6x=2sin (3П/2+2x)
4*((сos2x)^3)-3*cos2x=-2*cos2x
4*((cos2x)^3)-cos2x=0
(cos2x)*(4*((cos2x)^2)-1)=0
(cos2x)*(2*cos2x-1)*(2*cos2x+1)=0
Получается 3 решения ...
сos(2x1)=0=>x1=+-arccos0+2*Pi*n=+-(Pi/2)+2*Pi*n
cos(2x2)=1/2=>x2=+-arccos(1/2)+2*Pi*n=+-(Pi/3)+2*Pi*n
cos(2x3)=-1/2=>x3=+-arccos(-1/2)+2*Pi*n=+-(2*Pi/3)+2*Pi*n
Во всех случаях число n принадлежит целым числам .
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