Discussion:  All Tools in Trigonometry on Sketchpad 
Topic:  Using Sketchpad to illustrate coterminal angles 
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Subject:  RE: Using Sketchpad to illustrate coterminal angles 
Author:  LFS 
Date:  Mar 11 2008 
Sorry  I don't use GSP but this may help:
Here is a parametric function that winds backwards 5 and forward 5.
Curve[(1 + t / z) cos(t * 2 * pi), (1 + t / z) sin(t * 2 * pi), t, 5, 5]
If you set z=10 you can "see" the spiral.
If you set z=100 you can just use the endpoint (change the range) as the
terminal point.
In GeoGebra (freeware), this didn't give the visual effect I wanted  so I used
different colored circles:
see: http://mathcasts.org/mtwiki/GlossaryT/AnglesCoterminal
Probably this won't help you, but I had fun doing it :)
Many regards.
 
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