We have to find the value of sec(π/4).
We start by using its equivalent expression:
[tex]\sec(\pi\/4)=\frac{1}{\cos(\pi\/4)}[/tex]
Using the unit circle we can find the value of cos(π/4) as:
Then, we can find sec(π/4) as:
[tex]\sec(\pi\/4)=\frac{1}{\cos(\pi\/4)}=\frac{1}{\frac{\sqrt{2}}{2}}=\frac{2}{\sqrt{2}}=\sqrt{2}[/tex]
Answer: √2 [Third option]
