拉格朗日插值在三角函数中的应用

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