多倍角三角函数展开式的一组有趣的性质

摘要

笔者发现同类的奇倍角三角函数展开式形式上具有异常的相似性.本文中对此给出严格的数学证明,并通过几道数学问题说明了此性质的应用方法.%The author finds that there is great similarity in the expansions of multiple -angle trigonometric functions. In this thesis, strict mathematical proof is given to this nature, and at the time, the application of the nature is demonstrated through a few mathematical problems.