You can do this on the calculator as follows:
$${sec}{\left({\mathtt{\,-\,}}{\mathtt{45}}{\mathtt{\,-\,}}{\frac{{\mathtt{6}}}{{\mathtt{60}}}}{\mathtt{\,-\,}}{\frac{{\mathtt{6}}}{{\mathtt{3\,600}}}}\right)} = {\mathtt{1.416\: \!729\: \!662\: \!099\: \!720\: \!5}}$$
.