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ILL 1972 Problem 40

    Prove the inequalities uv≤sin⁡usin⁡v≤π2×uv, for 0≤u<v≤π2\frac{u}{v}\le \frac{\sin u}{\sin v}\le \frac{\pi}{2}\times\frac{u}{v},\text{ for }0 \le u < v \le \frac{\pi}{2}

    Dataset text AI-MO AoPS. Quoted with source.

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