a Find an angle between 0 and 2 that is coterminal with 257

(a) Find an angle between 0 and 2 that is coterminal with 257 .

(b) Find an angle between 0° and 360° that is coterminal with 775° .

Solution

a) an angle between 0 and 2 that is coterminal with 257

25pi/7 = 2pi +11pi/7 = 11pi/7

In the interval 0 and 2pu coterminal angle = 11pi/7 rad

b) angle between 0° and 360° that is coterminal with 775°

775 = 360 +360 +3 = 3 deg

Coterminal angle = 3 deg