[latex] \sqrt3 sin 3x = cos 3x[/latex]

[latex] \sqrt{3}sin3x=cos3x|:cos3x \neq 0 \\ \\ \sqrt{3}tg3x=1 \\ \\ tg3x= \frac{1}{ \sqrt{3} }[/latex] [latex]3x=arctg \frac{1}{ \sqrt{3} } + \pi n,[/latex]    n∈Z [latex]3x= \frac{ \pi }{6} + \pi n,[/latex]   n∈Z [latex]x= \frac{ \pi }{18} + \frac{ \pi n}{3},[/latex]   n∈Z