Question

Решите неравенство
-3cos(1,5х+п/6)<-1,5

Answer 1

$-3Cos(1,5x+\frac{\pi }{6})<-1,5\\\\Cos(1,5x+\frac{\pi }{6})>0,5\\\\-\frac{\pi }{3}+2\pi n<1,5x+\frac{\pi }{6} <\frac{\pi }{3}+2\pi n,nez\\\\-\frac{\pi }{3}-\frac{\pi }{6}+2\pi n<1,5x<\frac{\pi }{3}-\frac{\pi }{6}+2\pi n,nez\\\\-\frac{\pi }{2}+2\pi n<1,5x<\frac{\pi }{6}+2\pi n,nez\\\\-\frac{\pi }{3}+\frac{4\pi n }{3} <x<\frac{\pi }{9}+\frac{4\pi n }{3},nez\\\\xe(-\frac{\pi }{3}+\frac{4\pi n }{3};\frac{\pi }{9}+\frac{4\pi n }{3}),nez$