How to tell if angles are coterminal

Answer 1

To determine if angles are coterminal, follow these steps:

1. Check if both angles have the same initial and terminal sides: Two angles are coterminal if they have the same initial side and terminal side.

2. Determine the difference between the two angles: Subtract the smaller angle from the larger angle.

3. Check if the difference is a multiple of 360 degrees: If the difference between the two angles is a multiple of 360 degrees, then they are coterminal.

For example, let's consider two angles, 60 degrees and 420 degrees:

1. Both angles have the same initial side (0 degrees) and the same terminal side (60 degrees), so they are coterminal.

2. The difference between 420 degrees and 60 degrees is 360 degrees.

3. The difference of 360 degrees is a multiple of 360 degrees, indicating that the angles are coterminal.

Therefore, 60 degrees and 420 degrees are coterminal angles.