Answer:
[tex]\large\boxed{\text{The graph will go through the point }(\pi /3,2)}[/tex]
Explanation:
The trigonometric function sec(x) is equal to 1/cos(x).
Hence, f(x) = sec(x) is equal to f(x) = 1/cos(x).
- [tex]\pi /3[/tex] is one of the common angles for which the value of trigonometric functions you should know:
[tex]cos(\pi /3)=1/2[/tex]
Therefore:
[tex]f(\pi /3)=1/cos(\pi /3)=1/(1/2)=2[/tex]
Hence, the graph will go through the point [tex](\pi /3,2)[/tex].
