Question

Найдите точки пересечения графика функции с y=2sin(x+П\6)-1 осью абцисс

Answer 1

$2*sin(x+\frac{\pi}{6})-1=0\\\\ 2*sin(x+\frac{\pi}{6})=1\\\\ sin(x+\frac{\pi}{6})=\frac{1}{2}\\\\ x+\frac{\pi}{6}=\frac{\pi}{6}+2\pi n\ \ \ or\ \ \ x+\frac{\pi}{6}=\frac{5\pi}{6}+2\pi n,\ n\in Z\\\\ x=2\pi n\ \ \ or\ \ \ x=\frac{2\pi}{3}+2\pi n,\ n\in Z$

Ответ: $(2\pi n;\ 0);\ (\frac{2\pi}{3}+2\pi n;\ 0)\ n\in Z$