How do I find the value of the trig function? Number 1

From the trigonometric identities, we know that
[tex]\sec \theta=\frac{1}{\cos \theta}[/tex]From the given triangle, we can see that
[tex]\cos \theta=\frac{15}{17}[/tex]then,
[tex]\sec \theta=\frac{1}{\frac{15}{17}}[/tex]so, the answer is
[tex]\sec \theta=\frac{17}{15}[/tex]