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拉格朗日插值在3角函数中的应用
摘要:本文阐述了Lagrange插值的基本理论,譬如:线形插值,抛物插值,Lagrange多项式等。然后将线形插值,抛物插值,Lagrange多项式插值分别应用到3角函数中,并且进行C语言编程计算3角函数sin x在[0,90]的值。
关键词:线形插值,抛物插值,Lagrange多项式,插值余项,3角函数
The Application of Lagrange Interpolation
in trigonometric function
Abstract:The article argues the basic theories of Lagrange interpolation,for example:linear interpolation ,parabolic interpolation,Lagrange formula,and so on Then,they are applied into trigonometric function respectly,and calculate trigonometric function sinx between 0 and 90 by C Language.
Keywords: linear interpolation ,parabolic interpolation ,Lagrange formula ,remainder of interpolation, trigonometric function