Answer :
[tex]\theta\text{ = 0}\degree[/tex]Explanation:[tex]\text{sec }\theta\text{ = 1}[/tex][tex]\begin{gathered} \text{From trigonometry identity:} \\ \text{sec }\theta\text{ = }\frac{1}{\cos\text{ }\theta} \\ \frac{1}{\cos\theta}\text{ = 1} \end{gathered}[/tex][tex]\begin{gathered} \text{cross multiply:} \\ 1\text{ = 1(cos }\theta) \\ 1\text{ = cos }\theta \end{gathered}[/tex][tex]\begin{gathered} \text{take inverse of cosine function:} \\ \text{arc cos(1) = }\theta \\ \theta=cos^{-1}(1) \\ \theta\text{ = }0\text{ (in degrees)} \end{gathered}[/tex]