using the definition of secant we know that,
[tex]sec(x)=\frac{1}{cos(x)}[/tex]then, the definition of x-intercept is that the function evaluated is equal to 0 then, if f(x) is equal to cos(x)
[tex]f(x)=cos(x)[/tex]we can say that if the function is equal to 0 then the function secant will look something like this
[tex]\begin{gathered} sec(x)=\frac{1}{0} \\ \end{gathered}[/tex]and we know that any number divided by 0 is undefined, so the x.intercepts make the function secant undefined, meaning that the x-intercepts become vertical asymptotes in the secant function.
Answer:
The x-intercepts of the function cosine become the vertical asymptotes of the secant function.
