Предмет: Алгебра, автор: aggglll77771111

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Автор ответа: NNNLLL54

$sina-\sqrt2\, sin(a-\frac{\pi}{4})=\\\\=sina-\sqrt2\cdot (sina\cdot cos\frac{\pi}{4}-cosa\cdot sin\frac{\pi}{4})=\\\\=sina-\sqrt2\cdot (\frac{\sqrt2}{2}\cdot sina-\frac{\sqrt2}{2}\cdot cosa)=\\\\=sina-sina+cosa=cosa$

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