Answer
Angle in Degrees: $45^{o}$
Value: $\frac{2}{\sqrt 2}$
Work Step by Step
Note: To convert between degrees and radians use the following formula:
$\frac{1 rad}{}$$\frac{180}{\pi}$=$\frac{degrees}{}$
We are given that there is $\frac{\pi}{4}$.
Using the above formula, the equivalence in degrees is :
$\frac{\pi}{4}$$\frac{180}{\pi}$=$\frac{45^{o}}{}$
Using the unit circle, we know that
sec($\frac{\pi}{4}$) = $\frac{2}{\sqrt 2}$