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Автор - Qшник

sin(2x)*sin(6x)=cos(x)*cos(3x)
I need some help with it)))))

Ответ

Проверено экспертом

Автор - NNNLLL54

sin2xcdot sin6x=cosxcdot cos3x\\frac{1}{2}cdot (cos4x-cos8x)=frac{1}{2}cdot (cos4x+cos2x)\\cos2x+cos8x=0\\2, cos5xcdot cos3x=0\\a); ; cos5x=0; ,; ; 5x=frac{pi }{2}+pi n,; ; underline {x=frac{pi }{10}+frac{pi n}{5}; ,; nin Z}\\b); ; cos3x=0; ,; ; 3x=frac{pi }{2}+pi k; ,; ; underline {x=frac{pi}{6}+frac{pi k}{3}; ,; kin Z}

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