# $(\cot \alpha)^{\cos 2\alpha} \ge \frac{1}{\sin 2\alpha}$ [on hold]

Let $0< \alpha < \dfrac{\pi}{2}$. Prove: $$(\cot \alpha)^{\cos 2\alpha} \ge \dfrac{1}{\sin 2\alpha}$$

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## put on hold as off-topic by 900 sit-ups a day, Ivo Terek, Tomás, Adam Hughes, anortonyesterday

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