Sqrt3*sinx/4-cosx/4=0

$\sqrt{3} *sin \frac{x}{4} -cos \frac{x}{4} =0 |:cos \frac{x}{4} \neq 0$
$\frac{ \sqrt{3}*sin \frac{x}{4} }{cos \frac{x}{4} } - \frac{cos \frac{x}{4} }{cos \frac{x}{4} } =0$
√3*tg(x/4)-1=0
√3*tg(x/4)=1
$tg \frac{x}{4} = \frac{1}{ \sqrt{3} }$
$\frac{x}{4} =arctg \frac{1}{ \sqrt{3} } + \pi n,$ n∈Z
$\frac{x}{4} = \frac{ \pi }{6} + \pi n, n$ ∈Z |*4
$x= \frac{2 \pi }{3} +4 \pi n,$ n∈Z