Is 100º coterminal with -1180º?
2 answers:
ANSWER
NO
EXPLANATION
If two angles are coterminal, then the two angles have the same terminal side in standard position.
So you can sketch both 100° and -1180° in standard position to see if they have the same terminal side.
A quicker way to do this is to keep adding 360° to -1180° to see if you will get 100°.
-1180°+360°=-820°
-1180°+360°+360°=-460°
-1180°+360°+360°+360°=-100°
-1180°+360°+360°+360°+360°=260°
Therefore the least positive angle that is coterminal with -1180° is 260°.
Hence 100° is not coterminal with -1180°
The answer is NO
Angles are coterminal if their difference is a multiple of 360 degrees.
100 - -1180 = 1280
1280 / 360 = 3.56
The difference is not a multiple of 360, so they are not coterminal.
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