Question

$\sin\frac{\pi}{6} cosx +cos \frac{\pi}{6} sinx < \frac{1}{2}$
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Answer 1

$sin\frac{\pi}{6}\, cosx+cos\frac{\pi}{6}\, sinx<\frac{1}{2}\\\\sin(x+\frac{\pi}{6})<\frac{1}{2}\\\\\frac{5\pi }{6}+2\pi n<x+\frac{\pi}{6}<\frac{7\pi }{6}+2\pi n\; ,\; n\in Z\\\\\underline {\frac{2\pi }{3}+2\pi n<x<\pi +2\pi n\; ,\; n\in Z}$

Answer 2

Ответ: во вложении Объяснение: