用以表示cosnx的关于cosx的多项式的通项公式
首发时间:2010-04-26
摘要:本文通过对怎样用cosx的多项式形式来表示cosnx这一有趣的问题进行了深入的研究,特别是对若干个多项式的每项系数的研究而总结出了一些重要的规律,并总结出了该多项式的通项公式,给出了该多项式的数学解析式,最后示例运用这些规律计算出当n分别为9和10的多项式。
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General term formula of the polynomial of using cosx to express cosnx
Abstract:In this paper, I have made a in-depth study on how to use the polynomial of cosx to express cosnx, especially for regularity of coefficients of the polynomial and summed up some useful regularities about the polynomial and calculated the general analytic of the polynomial and found out the mathematical analytical expression. In addition, some examples are given to show the use of these regularities introduced for the polynomials where n is equal to 9 and 10, respectively.
Keywords: cosine trigonometric function expansion
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