A
Alex Martelli
if you are discordant read more :
sine is a dimensionless value.
if we expand sine in taylor series sin(x) = x - (x^3)/6 + (x^5)/120
etc.
you can see that sin can be dimensionless only if x is dimensionless
too.
I am a professional physicist and a know about what I talk
Lots of people are confused by the concept of "degrees" -- your Taylor
series, of course, intrinsically assumes x is "in radians" (which of
course IS how angles "truly are"). I blame the Babylonians for that
confusion just as much as for the clunky base-60 that intrudes in our
ordinary time reckoning...!
Alex