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本文旨在介绍笔者新近发现的几个有趣的三角不等式.定理1在△ABC中,对n≥1有cos4nA1+cos2nA+1c+ocso4sn2BnB+1c+ocso4snC2nC≥4n(43n+1)证明由幂平均不等式及常见的三角不等式cos2A+cos2B+cos2C≥43可得t=cos2nA+cos2nB+cos2nC≥3n1-1(cos2A+cos2B+cos2C)n≥43n.由柯西不等式及
In this paper, we introduce some interesting trigonometric inequalities newly discovered by our author. Theorem 1 In △ ABC, for cosing nnnnn, And the common triangular inequalities cos2A + cos2B + cos2C ≥43 available t = cos2nA + cos2nB + cos2nC≥3n1-1 (cos2A + cos2B + cos2C) n≥43n. Cauchy inequality and