A Study on the Differential Problem of Trigonometric Functions with Maple

Chii-Huei Yu^1,

¹Department of Management and Information, Nan Jeon University of Science and Technology, Tainan City, Taiwan

Cite this paper:
Chii-Huei Yu. A Study on the Differential Problem of Trigonometric Functions with Maple. American Journal of Systems and Software. 2014; 2(1):9-13. doi: 10.12691/ajss-2-1-2

Abstract

This article uses the mathematical software Maple for the auxiliary tool to study the differential problem of two types of trigonometric functions. We can obtain the Fourier series expansions of any order derivatives of these two types of functions by using binomial theorem and differentiation term by term theorem, and hence greatly reduce the difficulty of calculating their higher order derivative values. On the other hand, we propose two examples to do calculation practically. The research methods adopted in this study involved finding solutions through manual calculations and verifying these solutions by using Maple.

Keywords:
derivatives trigonometric functions Fourier series expansions binomial theorem differentiation term by term theorem Maple

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