Question

Пожалуйста, решите неравенство 2sinx ≤ 1

Answer 1

$2Sinx\leq1\\\\Sinx\leq\frac{1}{2} \\\\-\pi -arcSin\frac{1}{2}+2\pi n \leqx\leq x\leq arcSin\frac{1}{2}+2\pi n,n\in Z\\\\-\pi -\frac{\pi }{6}+2\pi n \leq x \leq \frac{\pi }{6}+2\pi n,n\in Z\\\\-\frac{7\pi }{6}+2\pi n \leq x \leq \frac{\pi }{6}+2\pi n,n\in Z$