[tex]\begin{gathered} \text{Given} \\ \sec (36\degree) \end{gathered}[/tex][tex]\begin{gathered} \sec 36\degree=\frac{1}{\cos 36\degree} \\ \sec 36\degree=\frac{1}{\frac{\sqrt[]{5+1}}{4}} \\ \sec 36\degree=1.23606 \end{gathered}[/tex]
Rounding off to four decimal places
[tex]\sec 36\degree=1.2361[/tex]