sin-1(-0.59)=
$$\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{sin}}^{\!\!\mathtt{-1}}{\left(-{\mathtt{0.59}}\right)} = -{\mathtt{36.157\: \!008\: \!200\: \!999^{\circ}}}$$
I get -36.157