$$sec^{-1}(-3.44)
=cos^{-1}(-1/3.44)$$
$$\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{cos}}^{\!\!\mathtt{-1}}{\left({\mathtt{\,-\,}}{\frac{{\mathtt{1}}}{{\mathtt{3.44}}}}\right)} = {\mathtt{106.899\: \!729\: \!383\: \!3^{\circ}}}$$
.