148k views
4 votes
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 Cclient
by
4.2k points

1 Answer

2 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 Roman Hutnyk
by
4.6k points