Step 1 :\(-475^\circ + 360^\circ = -115^\circ\)
Step 2 :\(-115^\circ + 360^\circ = 245^\circ\)
Step 3 :\(\boxed{245^\circ}\) is a coterminal angle with \(-475^\circ\) that lies between \(0^\circ\) and \(360^\circ\)
Step 4 :\(\frac{32 \pi}{7} - 2 \pi = \frac{32 \pi}{7} - \frac{14 \pi}{7} = \frac{18 \pi}{7}\)
Step 5 :\(\frac{18 \pi}{7} - 2 \pi = \frac{18 \pi}{7} - \frac{14 \pi}{7} = \frac{4 \pi}{7}\)
Step 6 :\(\boxed{\frac{4 \pi}{7}}\) is a coterminal angle with \(\frac{32 \pi}{7}\) that lies between 0 and \(2 \pi\)