Nothing wrong with degrees, they are definitely more useful for engineering and practical applications in many cases. But while doing math for math's sake, radians feel much more elegant because pi is a fundamental result of our axiomatic system whereas degrees are totally arbitrary numbers picked for convenience.
What's wrong with degrees? Everybody understands them and they're whole numbers that are easy to work with.
Nothing wrong with degrees, they are definitely more useful for engineering and practical applications in many cases. But while doing math for math's sake, radians feel much more elegant because pi is a fundamental result of our axiomatic system whereas degrees are totally arbitrary numbers picked for convenience.