Abstract: In this paper, we study the partial differential problem of two types of two variables trigonometric functions. The infinite series expressions of any order partial derivatives of the two types of two variables functions can be obtained by differentiation term by term theorem. Therefore, the difficulty of evaluating the higher order partial derivatives of these two variables trigonometric functions can be greatly reduced. Moreover, we provide some examples to do calculation practically. The research method adopted is to find solutions through manual calculations, and verify these solutions using Maple. This research method not only allows the discovery of calculation errors, but also helps modify the original directions of thinking. Therefore, Maple provides insights and guidance regarding problem-solving methods.
Keywords: Partial differential problem, Trigonometric functions, Infinite series expressions, Differentiation term by term theorem, Maple.
Title: Partial Differential Problem of Two Types of Complicated Trigonometric Functions
Author: Chii-Huei Yu
International Journal of Interdisciplinary Research and Innovations
ISSN 2348-1218 (print), ISSN 2348-1226 (online)
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