In any , then minimum value of 2020 _ cyc A ( B + C ) - A must…

MATHEMATICS · Subjective · AoPS · Mathematics · Introduction to Inequalities · x Marks the Spot

Problem

In any ΔABC\Delta ABC, then minimum value of 2020∑cycsin⁡A(sin⁡B+sin⁡C)−sin⁡A2020 \sum_{cyc} \frac{\sqrt{\sin A}}{(\sqrt{\sin B} + \sqrt{\sin C}) - \sqrt{\sin A}} must be

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