Find the reference angle to 5 pi and full in the calculations.

The angle given is in the second quadrant, this comes from the fact that is more than pi/2 but less than pi.
Then the reference angle is given by:
[tex]\alpha=\pi-\frac{5\pi}{8}[/tex]And the angles is:
[tex]\alpha=\frac{3\pi}{8}[/tex]