Radians and Degrees Preference
Radians almost always. Granted, you have to get used to doing trig in units of 2 pi, but once you get over that hurdle, it makes all sorts of math simpler. Sine and cosine are expressed as variations on $$sin(\omega) = Re\text{ } {e^{j\omega}}$$ and its derivative, which is much cleaner than needing to throw factors of 2 pi around.

Degrees have their uses, but generally only in terms of user interfaces, such as compasses and indicating shaft rotations, and specifying phase shifts. Once you get into actual calculation, radians are king.