17bgreen 17bgreen
  • 19-05-2017
  • Mathematics
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find a positive angle less than one rotation that is coterminal with 460 degrees

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BlueSky06
BlueSky06 BlueSky06
  • 01-06-2017
We need to define coterminal angles, when there are two angles, one of which is a multiple of 360° and this angle is also the larger angle between the two. Therefore, in the given problem, we 460° where the two angles are the 360° and x. Solving for x, we have:
460° = x + 360°
x = 460° - 360°
x =100°

The angle which is less than one rotation is equal to 100°.
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