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**ThanhhThuyy** · 03-11-2017, 06:42 PM

$\sum_{\text{cyc}} \dfrac{1}{\left(\alpha \sin A+\beta\right)^n} \geq \sum \dfrac{1}{\left(\alpha \cos \frac{A}{2}+\beta\right)^n} \ (\alpha, \beta>0, n \in \mathbb{N}^*) $

03-11-2017, 06:42 PM	#4
ThanhhThuyy Moderator Tham gia ngày: Oct 2017 Bài gởi: 2 Thanks: 1 Thanked 0 Times in 0 Posts	Chứng minh rằng $\sum_{\text{cyc}} \dfrac{1}{\left(\alpha \sin A+\beta\right)^n} \geq \sum \dfrac{1}{\left(\alpha \cos \frac{A}{2}+\beta\right)^n} \ (\alpha, \beta>0, n \in \mathbb{N}^*) $