$x=e^{-\arcsin(y)+2\pi n_{1}+\pi }\text{, }n_{1}\in \mathrm{Z}$
$x=e^{\arcsin(y)+2\pi n_{2}}\text{, }n_{2}\in \mathrm{Z}\text{, }|y|\leq 1$

$y=\sin(\ln(x))$
$x>0$