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kavai697
@kavai697
June 2022
1
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Корень из 4-x^2 * (sin^7x-cos^7x)=0
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Answers & Comments
dimanevedimka
√4x² × (sin²7x-cos²7x)=0
√4x² =0 |или| sin²7x-cos²7x=0
x=0; -(cos²7x- sin²7x)=0
cos²7x- sin²7x = cos14x
cos14x=0
14x=π/2+πn
x=π/28+πn/14, n∈Z
Ответ: x=0, x=π/28+πn/14, n∈Z;
1 votes
Thanks 0
kavai697
4-x^2
kavai697
во втором 7 это степень, а не аргумент
dimanevedimka
тогда x=+-2
dimanevedimka
x=pi/2+pin тогда во втором множителе
kavai697
мне то решение нужно
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Answers & Comments
√4x² =0 |или| sin²7x-cos²7x=0
x=0; -(cos²7x- sin²7x)=0
cos²7x- sin²7x = cos14x
cos14x=0
14x=π/2+πn
x=π/28+πn/14, n∈Z
Ответ: x=0, x=π/28+πn/14, n∈Z;