Question

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Решите sinx<1/2

Answer 1

$Sinx<\frac{1}{2}\\\\-\pi -arcSin\frac{1}{2}+2\pi n <x<arcSin\frac{1}{2}+2\pi n ,n\in Z\\\\-\pi-\frac{\pi }{6}+2\pi n<x<\frac{\pi }{6}+2\pi n,n\in Z\\\\-\frac{7\pi }{6}+2\pi n<x<\frac{\pi }{6}+2\pi n,n\in Z\\\\x \in(-\frac{7\pi }{6}+2\pi n;\frac{\pi }{6}+2\pi n),n\in Z$