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[不等式] 奇奇怪怪的不等式(1)

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卡谷雨 posted 2022-1-4 22:25 |Read mode
若$0<n<\pi -m<\frac{\pi}{2}<m$,求证:
$$\left( \sin \left( 3m \right) +\cos \left( 3n \right) \right) \left( \sin 3m-\cos 3m \right) +\frac{1}{2}\cos \left( 2n \right) \left( \cos 6m+\cos 2n \right) \ge 0
$$
有很多种取等情况。

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