Find the smallest $k$ for which the inequality
$$|\sin^2 (x)-\sin^2 (y)| \leq k|x-y|$$ holds for all pairs of $(x,y)$.
I do not know how to proceed to solve this type of problem. Any hint or help would be appreciated.
2026-05-05 10:46:16.1777977976
Trigonometric inequality of finding a smallest number
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