Автор - 89204772818

решите уравнения
1) 4sinxcos(п/2+5x)=1-2cos4x

Ответ

Автор - Monfer
cos(П/2+5x)=-sin5x
-4sinxsin5x=1-2cos4x
-4*(cos(x-5x)-cos*(x+5x))/2=1-2cos4x
-2cos4x+cos6x=1-2cos4x
cos6x=1
6x=2Пk, k ∈ Z
x=Пk/3, k∈ Z

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