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2A Coterminal Angles

Move the sliders to find coterminal angles. Use the left and right arrow keys to make fine adjustments to the sliders.
  1. What are coterminal angles?
  2. How many coterminal angles does 45 have between -720 and 720? (Please note that some sources consider an angle to be coterminal to itself, while others do not, so there are two possible answers depending on how you define coterminal.)
  3. How many real coterminal angles does 45 have?