Convert the degree measure to radians or the radian measure to degrees. Then find one positive angle and one negative angle that is coterminal with the given angle.

Question

1. -560°
2. 170°

Answer 1

-560 degrees = -560pi/180 = -56pi/18 = --28pi/9 radians

-28pi/9 + 18pi/9 = -10pi/9 radians is a negative angle coterminal with -560

-28pi/9+36pi/9 = 8pi/9 radians is a positive angle coterminal with -560

170 degrees = 170pi/180 = 17pi/18 radians = slightly less than pi radians

17pi/18 +36pi/18 = 53pi/18 radians is a positive coterminal angle with 170 degrees

17pi/18 -36pi/18 = -19pi/18 radians is a negative coterminal angle with 170 degrees