$$\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{cos}}{\left({\mathtt{36}}^\circ\right)} = {\mathtt{0.809\: \!016\: \!994\: \!375}}$$
$$\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{cos}}^{\!\!\mathtt{-1}}{\left({\mathtt{0.809\: \!016\: \!994\: \!375}}\right)} = {\mathtt{35.999\: \!999\: \!999\: \!995^{\circ}}}$$