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All Journal MATHunesa: Jurnal Ilmiah Matematika Jurnal Inovasi Pembelajaran Matematika (JIPM)
Shah, Yogendra Prasad
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Education Mathematics

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Taylor Series of Trigonometric Function for Lower Order Visualization Shah, Yogendra Prasad
MATHunesa: Jurnal Ilmiah Matematika Vol. 12 No. 2 (2024)
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/mathunesa.v12n2.p352-357

Abstract

Abstract About the simplest kind of functions are polynomials. Under addition, multiplication, integration, and differentiation, they are closed. A function can be roughly expressed in terms of polynomials of a certain degree using Taylor series. This provides a clear picture of the function's local behavior. The Taylor series fits the function at the place where it is computed more closely the more terms there are. In various fields of natural and social science, trigonometric functions are used. In this work, we examine the tailored series of trigonometric functions using Wolfram Mathematica. The visualization of nature is also obtained using the same software, with point 0 and up to 5 order for sin, cos, sec, tan, cot, and cosec. Keywords:Polynomials, Taylor Sereis, Nautral and Social Science, Trigonometric function, Wolffram Methematica etc.
Fourier Analysis: Unveiling The Frequency Domain for Signal Deconstruction Shah, Yogendra Prasad; Sayyida, Sayyida; Minggani, Fitriana
Jurnal Inovasi Pembelajaran Matematika (JIPM) Vol. 6 No. 2 (2025): Edisi April 2025
Publisher : Prodi Matematika STKIP PGRI Sumenep

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Abstract

This paper explores the application of Fourier Transforms (FT) and series in signal analysis. FT decomposes a time-domain signal into its constituent frequency components in the frequency domain (j2?f plane), facilitating analysis unavailable in the s-plane of Laplace transforms. FT enables spectral analysis of signals and characterization of the response of Linear Time-Invariant (LTI) systems. Continuous-Time FT (CTFT) applies to analog signals, while Discrete-Time FT (DTFT) is used for discrete signals. The paper emphasizes the critical role of DTFT in digital signal processing (DSP), particularly for efficient convolution and various signal manipulations. It concludes by highlighting the transformative impact of FT on various scientific and engineering fields.
Co-Authors Minggani, Fitriana Sayyida Sayyida