Precalc Find an angle that is coterminal

Question

Find an angle between 0° and 360° that is coterminal with the given angle.

−980°

Answer 1

-980 +3(360) = -980 +1080 = 100 degrees

or any angle n(360) - 980 where n is any integer is also coterminal with -980

Answer 2

The negative means you spin clockwise from the positive x-axis. One time around is 360°. A second time around is a total of 720°. A third time around is a total of 1080° That means going three full times around would mean we went right on passed 980° and kept going another 100°. So conterminal to -980° is +100°

Answer 3

-980° + 360° + 360° + 360° = 100°