Angles question

Question

a. find an angle between 0 and 360 degrees that is coterminal with 810 degrees

b. find an angle between 0 and 2pie that is coterminal with (33pie)/7

Answer 1

a) Each 360 degrees brings you back to the same location.

810-2*360 = 90 degrees.

b) Each 2PI or 14PI/7 brings you back to the same location.

33 PI/7 - 2(14 PI/7) = 5PI/7