Предмет: Алгебра, автор: holeksandr284

sin^2x+sinx*cosx=0 Помогите решить

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Автор ответа: Doppikcha

$\sin^2x+\sin x\cdot \cos x=0\Leftrightarrow \sin x\left ( \sin x+\cos x \right )=0\\\sin x\left( \mathrm{tg}x+1 \right)=0\Rightarrow x=\left\{ \pi k,\frac{3\pi}{4}+\pi k \right\}, \; k\in\mathbb{Z}$

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