Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
First, we need to notice the relationship between cos and sec.
[tex]sec(x)=\frac{1}{cos(x)}[/tex]
Knowing the value of sec, we can then substitute that in and solve for cos
[tex]sec(x)=\frac{1}{cos(x)}\\\\2=\frac{1}{cos(x)} \\\\2cos(x)=1\\\\cos(x)=\frac{1}{2}[/tex]