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ladysveta1997
@ladysveta1997
July 2022
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Решить уравнение sin²4x-sin²2x=0
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Македонский
Распишем по формуле синуса двойного угла
(2*(2sinxcosx))^2-(2sinxcosx)^2=0
Разделим на 2*(2sinxcosx)
2*(2sinxcosx)-sinxcosx=0
4sinxcosx-sinxcosx=0
3sinxcosx=0
Разделим на cosx
3sinx=0
sinx=0
x=arcsin0+2Пn
x=2Пn
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Answers & Comments
(2*(2sinxcosx))^2-(2sinxcosx)^2=0
Разделим на 2*(2sinxcosx)
2*(2sinxcosx)-sinxcosx=0
4sinxcosx-sinxcosx=0
3sinxcosx=0
Разделим на cosx
3sinx=0
sinx=0
x=arcsin0+2Пn
x=2Пn