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Hardest problem on Kyiv City MO 2021. Possibly ever

Source: Kyiv City MO 2021 Round 1, Problem 10.1

December 21, 2023
inequalities

Problem Statement

Prove the following inequality:
sin⁡1+sin⁡3+…+sin⁡2021>2sin⁡101123\sin{1} + \sin{3} + \ldots + \sin{2021} > \frac{2\sin{1011}^2}{\sqrt{3}}
Proposed by Oleksii Masalitin
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