From Spivak's Calculus:
Prove that |sinx−siny|<|x−y| for all x≠y. Hint: the same statement, with < replaced by ≤, is a straightforward consequence of a well-known theorem.
Now, I might even be able to prove this somehow (?), but I can't seem to figure out what "well-known theorem" the author is alluding to here... any hints?
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