Respuesta :

To answer this question we need to remember that:

[tex]\sec \theta=\frac{1}{\cos \theta}[/tex]

then:

[tex]\begin{gathered} \sec \theta=-\frac{13}{5} \\ \frac{1}{\cos \theta}=-\frac{13}{5} \\ \cos \theta=-\frac{5}{13} \\ \theta=\cos ^{-1}(-\frac{5}{13}) \\ \theta=112.62 \end{gathered}[/tex]

There's only one angle that gives this result that it is real. Therefore the answer is 112.62

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