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