Sin(x-pi/3)cos(7x+pi/6)=0

[latex]sin(x-\frac{\pi}{3})cos(7x+\frac{\pi}{6})=0\\\\sin(x-\frac{\pi}{3})=0\\x-\frac{\pi}{3}=\pi n\\x=\frac{\pi}{3}+\pi n,\;n\in Z;\\\\cos(7x+\frac{\pi}{6})=0\\7x+\frac{\pi}{6}=\frac{\pi}{2}+\pi k\\7x=\frac{\pi}{3}+\pi k\\x=\frac{\pi}{21}+\frac{\pi k}{7}, \; k\in Z.[/latex]