Question

$sqrt3 sin 3x = cos 3x$

Answer 1

$sqrt{3}sin3x=cos3x|:cos3x neq 0 \ \ sqrt{3}tg3x=1 \ \ tg3x= frac{1}{ sqrt{3} }$

$3x=arctg frac{1}{ sqrt{3} } + pi n,$    n∈Z

$3x= frac{ pi }{6} + pi n,$   n∈Z

$x= frac{ pi }{18} + frac{ pi n}{3},$   n∈Z