$$Sinx\ \cos\ x=\frac{\sqrt{3}}{4}$$
$x=\pi n_{1}+\frac{\pi }{6}\text{, }n_{1}\in \mathrm{Z}$
$x=\pi n_{1}+\frac{\pi }{3}\text{, }n_{1}\in \mathrm{Z}$
$x=\pi n_{1}+\frac{\pi }{6}\text{, }n_{1}\in \mathrm{Z}$
$x=\pi n_{2}+\frac{\pi }{3}\text{, }n_{2}\in \mathrm{Z}$
