Why do radians even exist? Why would you use them instead of degrees?
In: Mathematics
Math works out better.
2 pi radians to define a circle works real well when you are using trigonometric functions and especially limits that arise from calculus.
An infinite Taylor series for the sin function looks much more elegant and easier to understand in radians than the one in degrees. The degrees one has a constant factor on every term that highly implies you should be using radians.
Thats the general gist of it. When mathematics bridges from the world of sinusoids to other things the equations are much less complicated and full of scaling factors if you use radians.
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