AzeezK14054 AzeezK14054
  • 03-11-2022
  • Mathematics
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If a rotation angle is 540 degrees how is it possible that the location is Quadrant 1 with a reference angle of 0?

If a rotation angle is 540 degrees how is it possible that the location is Quadrant 1 with a reference angle of 0 class=

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TrevonI199939 TrevonI199939
  • 03-11-2022

Since a whole revolution has 360º, when we have an angle bigger than 360º the angles start to repeat.

We can subtract 360º to the given angle to find the coterminal angle. In this case:

[tex]540º-360º=180º[/tex]

And from an reference angle of 0º, this is exactly a half revolution. Thus, the angle is in the x axis, and it's coterminal angle is 180º

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