Hensen inequality in trigonometry: $\sin A + \sin B + \sin C \leq \frac{3}{2} \cdot \sqrt[2]{3} $

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Can anyone help me how to prove $\sin A + \sin B + \sin C \leq \frac{3}{2} \cdot \sqrt[2]{3} $

I have idea use Jensen but how to use it here?

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This question has already been answered, using Jensen's inequality, here: https://math.stackexchange.com/a/990423/195938