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