Answer
$(\frac{\sqrt 2}{2},\frac{\sqrt 2}{2})$.
Work Step by Step
Recall the definitions of trig functions on a unit circle, for $\theta=\frac{\pi}{4}$, we have $x=cos\frac{\pi}{4}=\frac{\sqrt 2}{2}, y=sin\frac{\pi}{4}=\frac{\sqrt 2}{2}$, thus the answer is $(\frac{\sqrt 2}{2},\frac{\sqrt 2}{2})$.