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For the rotation -613°, find the coterminal angle from 0° <0 < 360°, thequadrant and the reference angle.

For the rotation -613°, find the coterminal angle from 0° <0 < 360°, thequadrant-example-1
User Mattdedek
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1 Answer

22 votes
22 votes

Coterminal angles are any two angles that have the same starting and ending points regardless of the measurement

Keep adding 360 until you get to a positive number

-613+360 =-253

-253+360=207

The coterminal angle is 107

This is in quadrant II

To find the reference angle, we want to get to the axis as fast as possible

The negative x axis is faster

180-107 = 73

The reference angle is 73 degrees

For the rotation -613°, find the coterminal angle from 0° <0 < 360°, thequadrant-example-1
User Pepe
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