a Find an angle between 0 and 360 that is coterminal with 64

(a) Find an angle between 0° and 360° that is coterminal with 641° .

(b) Find an angle between 0 and 2 that is coterminal with 152

a) 641 deg = 360 + 281 deg

281 deg is between 0 and 360

So, coterminal angle would be 281 deg

b) coterminal with 15/2

-15pi/2 = -2pi -2pi -2pi - 3pi/2 = -3pi/2

So, coterminal angle would be -3pi/2 which is within 0 and 2pi