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How do you find the measure of a least positive coterminal angle when the measure of the original angle is more than 360 0 ?

Question

How do you find the measure of a least positive coterminal angle when the measure of the original angle is more than 360°?

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Solution

To find the measure of the least positive coterminal angle when the measure of the original angle is more than 360 degrees, follow these steps:

  1. Determine the original angle: This is the angle that you are given, which is more than 360 degrees.

  2. Find the coterminal angle: A coterminal angle is an angle that ends at the same position as the original angle. You can find a coterminal angle by adding or subtracting multiples of 360 degrees (a full circle) from the original angle.

  3. To find the least positive coterminal angle, keep subtracting 360 degrees from the original angle until you get an angle that is between 0 and 360 degrees. This is the least positive coterminal angle.

For example, if your original angle is 450 degrees, subtract 360 degrees to get a coterminal angle of 90 degrees. This is the least positive coterminal angle.

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