Results 11 to 20 of about 10,632,797 (342)
The effect of GeoGebra on STEM students learning trigonometric functions
Cogent Education, 2022 This study explores the effectiveness of the GeoGebra on Grade 12 students’ success in making associations between the representations of trigonometric functions and the interpretation of graphs.
Tola Bekene Bedada, France Machaba
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Applications of generalized trigonometric functions with two parameters II [PDF]
Differential Equations & Applications, 2019 Generalized trigonometric functions (GTFs) are simple generalization of the classical trigonometric functions. GTFs are deeply related to the $p$-Laplacian, which is known as a typical nonlinear differential operator. Compared to GTFs with one parameter,
Takeuchi, Shingo
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Proving some identities of Gosper on $q$-trigonometric functions [PDF]
Proceedings of the American Mathematical Society, 2018 Gosper introduced the functions $\sin_q z$ and $\cos_q z$ as $q$-analogues for the trigonometric functions $\sin z$ and $\cos z$ respectively. He stated but did not prove a variety of identities involving these two $q$-trigonometric functions.
Bachraoui, Mohamed El
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Approximating trigonometric functions by using exponential inequalities
Journal of Inequalities and Applications, 2019 In this paper, some exponential inequalities are derived from the inequalities containing trigonometric functions. Numerical examples show that one can achieve much tighter bounds than those of prevailing methods, which are presented by Cusa, Huygens ...
Xiao-Diao Chen, Junyi Ma, Yixin Li
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Jacobsthal Trigonometric Functions
Journal of the Indonesian Mathematical SocietyJacobsthal numbers satisfy a second order homogeneous recurrence relation $J_{n}=J_{n-1}+2J_{n-2}$ where $J_{n}$ denotes the $n^{th}$ Jacobsthal number. In this paper, the Jacobsthal sine, cosine, tangent and cotangent are defined, and some identities of Jacobsthal trigonometric functions are provided.
Apisit Pakapongpun, Natdanai Chailangka
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Shafer-type inequalities for inverse trigonometric functions and Gauss lemniscate functions
Journal of Inequalities and Applications, 2016 In this paper, we present Shafer-type inequalities for inverse trigonometric functions and Gauss lemniscate functions.
Jun-Ling Sun, Chao-Ping Chen
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International Journal of Mathematics and Computer in Engineering, 2023 In this research, the extended rational sinh-cosh method and the modified extended tanh-function method for mathematically constructing traveling wave solutions to the (2+1)-dimensional integro-differential Konopelchenko-Dubrovsky evolution equation are ...
A. Mahmud, T. Tanriverdi, K. A. Muhamad
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Cypriot Journal of Educational Sciences, 2021 Making connections between the representations of trigonometric functions and an interpretation of graphs of the functions are major challenges to many students.
N. Mosese, U. Ogbonnaya
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Data-Driven Algorithms for Signal Processing with Trigonometric Rational Functions [PDF]
SIAM Journal on Scientific Computing, 2021 Rational approximation schemes for reconstructing periodic signals from samples with poorly separated spectral content are described. These methods are automatic and adaptive, requiring no tuning or manual parameter selection.
H. Wilber, Anil Damle, Alex Townsend
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Applications of generalized trigonometric functions with two parameters [PDF]
Communications on Pure and Applied Analysis, 2019 Generalized trigonometric functions (GTFs) are simple generalization of the classical trigonometric functions. GTFs are deeply related to the \begin{document}$p$\end{document} -Laplacian, which is known as a typical nonlinear differential operator, and ...
Hiroyuki Kobayashi, S. Takeuchi
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