+102 $$\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{cos}}^{\!\!\mathtt{-1}}{\left({\frac{{\mathtt{1}}}{{\mathtt{4}}}}\right)} = {\mathtt{75.522\: \!487\: \!814\: \!07^{\circ}}}$$
x=75.52248781
+33653 Note that because cos(x) is also positive in the fourth quarter it could also be
$${\mathtt{360}}{\mathtt{\,-\,}}\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{cos}}^{\!\!\mathtt{-1}}{\left({\frac{{\mathtt{1}}}{{\mathtt{4}}}}\right)} = {\mathtt{284.477\: \!512\: \!185\: \!93}}$$
Check
$$\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{cos}}{\left({\mathtt{284.477\: \!512\: \!185\: \!93}}^\circ\right)} = {\frac{{\mathtt{1}}}{{\mathtt{4}}}} = {\mathtt{0.25}}$$
