we are given
[tex]y=sec(5x)[/tex]
now, we can compare it with
[tex]y=sec(\omega x)[/tex]
now, we can find omega
[tex]\omega =5[/tex]
now, we can use formula
[tex]\omega =2\pi f [/tex]
where f is frequency
[tex]5 =2\pi f [/tex]
[tex]f=\frac{5}{2\pi} hz[/tex].............Answer