Angle:
[tex]\frac{7\pi}{4}[/tex]To find in wich quadrent does the terminal side of the angle lie you can trun the given angle into degrees:
As pi rad is equal to 180º
[tex]\frac{7\pi}{4}\cdot\frac{180º}{\pi}=315º[/tex]Then, you have the next angle:
The terminal side of this angle lies in quadrent IV