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Relevant bibliographies by topics / Applications of trigonometry

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Academic literature on the topic 'Applications of trigonometry'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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Journal articles on the topic "Applications of trigonometry"

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Hersberger, Jim, and James O. Farlow. "Applications: Tracking Dinosaurs With Trigonometry." Mathematics Teacher 83, no. 1 (1990): 46–50. http://dx.doi.org/10.5951/mt.83.1.0046.

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If you and your trigonometry students grow weary of fictitious forest rangers and contrived scenarios involving ships that may or may not pass in the night, then the following real-life application will probably appeal to you. It demonstrates the usefulness of several trigonometric concepts and identities and can be used in a variety of classroom formats.

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Anantha, Anantha. "Spiritual and Cosmological Applications of Triangles." International Journal of Contemporary Research and Review 10, no. 04 (2019): 21467–79. http://dx.doi.org/10.15520/ijcrr.v10i04.689.

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It is well known that the laws of triangles are widely applied in classical mathematical branches, physics, engineering and almost all the areas of science, technology and other fields. Trigonometry is the extension of triangles. Cosmology is the application of trigonometry. The Jews, Vedic Aryans, Islam and Taoism were all well versed with triangles and other geometrical figures. In this article, the author attempts to unlock the hidden spiritual mysteries of triangles and also about the part played by triangles in cosmology.

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Stephens, Gregory P. "Applications: Trigonometry for the Energy-Conscious Architect." Mathematics Teacher 90, no. 7 (1997): 564–65. http://dx.doi.org/10.5951/mt.90.7.0564.

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My favorite trigonometry problem has to do with controlling the entry of sunlight through a window. Sunlight is radiant energy and a significant source of heat in a building. I ask students to be energy-conscious architects and design a window overhang that will block the midday summer sun but allow plenty of sunlight in the winter. Both goals are reachable because the apex of the sun's circuit in the sky is much higher in summer than in winter.

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Caples, Linda Griffin. "Applications: Squeal Those Tires!: Automobile-Accident Reconstruction." Mathematics Teacher 85, no. 1 (1992): 56–61. http://dx.doi.org/10.5951/mt.85.1.0056.

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The procedures used by law-enforcement officers in traffic-accident reconstruction contain a wealth of material that can be applied in teaching secondary school mathematics. Students are highly interested in the milestone of obtaining a driver's license, It is important that they recognize their responsibility of driving within the speed limits to reduce the chance of their involvement in an accident. Should they be in an accident, they may be surprised to know that methods of estimating minimum speeds are available. These methods require a basic knowledge of vectors and trigonometry, which makes their use an ideal real-life application for students in precalculus, mathematical analysis, or trigonometry.

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Izhakian, Zur, Manfred Knebusch, and Louis Rowen. "Supertropical quadratic forms II: Tropical trigonometry and applications." International Journal of Algebra and Computation 28, no. 08 (2018): 1633–76. http://dx.doi.org/10.1142/s021819671840012x.

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This paper is a sequel of [Z. Izhakian, M. Knebusch and L. Rowen, Supertropical semirings and supervaluations, J. Pure Appl. Algebra 220(1) (2016) 61–93], where we introduced quadratic forms on a module [Formula: see text] over a supertropical semiring [Formula: see text] and analyzed the set of bilinear companions of a quadratic form [Formula: see text] in case the module [Formula: see text] is free, with fairly complete results if [Formula: see text] is a supersemifield. Given such a companion [Formula: see text], we now classify the pairs of vectors in [Formula: see text] in terms of [Formula: see text] This amounts to a kind of tropical trigonometry with a sharp distinction between the cases for which a sort of Cauchy–Schwarz (CS) inequality holds or fails. This distinction is governed by the so-called CS-ratio [Formula: see text] of a pair of anisotropic vectors [Formula: see text] in [Formula: see text]. We apply this to study the supertropicalizations (cf. [Z. Izhakian, M. Knebusch and L. Rowen, Supertropical semirings and supervaluations, J. Pure Appl. Algebra 220(1) (2016) 61–93]) of a quadratic form on a free module [Formula: see text] over a field in the simplest cases of interest where [Formula: see text]. In the last part of the paper, we introduce a suitable equivalence relation on [Formula: see text], whose classes we call rays. (It is coarser than usual projective equivalence.) For anisotropic [Formula: see text] the CS-ratio [Formula: see text] depends only on the rays of [Formula: see text] and [Formula: see text]. We develop essential basics for a kind of convex geometry on the ray-space of [Formula: see text], where the CS-ratios play a major role.

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Lokutsievskiy, L. V. "Convex trigonometry with applications to sub-Finsler geometry." Sbornik: Mathematics 210, no. 8 (2019): 1179–205. http://dx.doi.org/10.1070/sm9134.

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Austin, Joe Dan, and F. Barry Dunning. "Applications: Mathematics of the Rainbow." Mathematics Teacher 81, no. 6 (1988): 484–88. http://dx.doi.org/10.5951/mt.81.6.0484.

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Figure 1 shows a picture of a rainbow. Have you wondered what causes a rainbow, why it is brighter inside than out, or why more than one rainbow may appear? The answers to these questions involve optics, geometry, trigonometry, and calculus. This article presents some of the optics and mathematics related to these questions.

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Zamorano Urrutia, Francisco Javier, Catalina Cortés Loyola, and Mauricio Herrera Marín. "A Tangible User Interface to Facilitate Learning of Trigonometry." International Journal of Emerging Technologies in Learning (iJET) 14, no. 23 (2019): 152. http://dx.doi.org/10.3991/ijet.v14i23.11433.

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In mathematics education, studies reveal difficulties in the teaching-learning of trigonometry in secondary and higher education, due to the fact that students are not encouraged to achieve a deep conceptual understanding of abstract concepts. Several studies demonstrate that incorporating digital technologies has a positive impact on students’ learning. However, most of the existing technologies do not consider the use of the body and multiple senses. Tangible User Interfaces (TUIs) in contrast, can host bodily interactions that have the potential of enhancing learning. Nonetheless, there is a lack of applications of TUIs for trigonometry education. This study consisted in designing and validating a tangible interface for the teaching-learning of basic concepts of trigonometry. The interface hosts a pedagogical experience that privileges exploration through physical manipulation and fosters intuitive and collaborative learning. A Pre-Test was applied to 121 students to determine previous knowledge, yielding a 29.1% performance. After two sessions using the interface, the results of a Post-Test reveal an increase of 37.1%, confirming the educational effectiveness of the interface and the pedagogical experience to facilitate learning of basic concepts of trigonometry.

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Luz Pelissari de Oliveira, Christian, and Fernando Pereira de Souza. "TRIGONOMETRIA ESFÉRICA APLICADA NA ASTRONOMIA DE POSIÇÃO." COLLOQUIUM EXACTARUM 10, no. 2 (2018): 60–67. http://dx.doi.org/10.5747/ce.2018.v10.n2.e239.

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The present article is the result of a research work of the Degree in Mathematics in the scope of the Tutorial Education Program -PET. The work deals with concepts of Spherical Trigonometry, which has several fields of applications between mathematics and physics, related to cartographic problems, navigation and astronomy. The goal is to explore problems of astronomy applications of celestial bodies by making use of trigonometry concepts in the sphere to study positions and directions of stars in terms of a celestial sphere. In order to reach this objective, the article presents concepts of a smaller distance between two points in the sphere, a triangle of position that is the spherical triangle, the fundamental relation known as law of cosines, the Celestial Sphere, its elements, its coordinates in the equatorial system, horizontal system and time system. Thus, the work seeks to encourage students and teachers to work on Spherical Geometry in the classroom

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Abrianto, Oktavian Rosa. "PENERAPAN METODE TUTOR SEBAYA UNTUK MENINGKATKAN HASIL BELAJAR DAN MOTIVASI BELAJAR SISWA PADA MATERI TRIGONOMETRI KELAS XI MIPA 4 SMA NEGERI 1 AMBARAWA." Satya Widya 35, no. 1 (2019): 62–74. http://dx.doi.org/10.24246/j.sw.2019.v35.i1.p62-74.

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This research is observed to increase the result and motivate the students in learning mathematics in Grade XI MIPA 4 of Ambarawa Senior High School with topic trigonometry by using peer tutor method. This research is includes class act observed. The method that I used in this research is called Kurt Lewin with 4 steps, they are planning, action, observing, and reflection. The increasing result of the study and motivation to learn in learning mathematics with can see it by points and questionnaire scores. The result shows that the average learning outcomes in cycle 1 and cycle 2 were 73,55 and 86,67 respectively with the percentage of class completeness in the first cycle and the second cycle respectively 64% and 85%. As for the aspects of learning motivation by 52% based on this, it can be concluded that the applications of peer tutoring methods cam improve learning outcomes and learning motivation in the trigonometry material of students of Grade XI MIPA 4 of Ambarawa Senior High School.

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Dissertations / Theses on the topic "Applications of trigonometry"

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Oliveira, Joerk da Silva. "Aplicações da trigonometria nas ciências." Universidade Federal de Roraima, 2015. http://www.bdtd.ufrr.br/tde_busca/arquivo.php?codArquivo=283.

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior<br>Desde a antiguidade, a Trigonometria vem se destacando por sua utilidade na resolução de problemas da humanidade, principalmente para modelar fenômenos de natureza periódica, oscilatória ou vibratória, os quais existem no universo. No Ensino Básico, espera-se que os alunos saibam utilizar a Matemática para resolver problemas práticos do cotidiano. Dessa forma, o principal objetivo deste trabalho é apresentar um conjunto de aplicações da trigonometria em diversas áreas do conhecimento. Inicialmente aborda-se as definições, teoremas e propriedades da trigonometria. Por fim, apresentase um acervo de aplicações, no qual servirá como um referencial para os professores e alunos que desejarem explorar esse rico e próspero campo da Matemática.<br>Since the beginnings, the trigonometry come if highlighting for its usefulness in solving the problems of humanity, especially for modeling of phenomena of periodic nature, oscillating or vibrating, which exist in the universe. In Basic education, it is expected that students know how to use mathematics to solve practical everyday problems. Thus, the main objective of this dissertation is to present a set of applications of trigonometry in various areas of knowledge. Initially presents the definitions, theorems and properties of trigonometry. Finally, we present a set of applications, which will serve as a reference for teachers and students who wish to explore this rich and prosperous field of mathematics.

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Army, Patricia D. Plantholt Michael. "An approach to teaching a college course in trigonometry using applications and a graphing calculator." Normal, Ill. Illinois State University, 1991. http://wwwlib.umi.com/cr/ilstu/fullcit?p9203038.

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Thesis (D.A.)--Illinois State University, 1991.<br>Title from title page screen, viewed December 14, 2005. Dissertation Committee: Michael J. Plantholt (chair), Lynn H. Brown, John A. Dossey, Patricia H. Klass, Beverly S. Rich, Linnea I. Sennott. Includes bibliographical references (leaves 187-194) and abstract. Also available in print.

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Wenzel, Ansgar. "Theory of generalised biquandles and its applications to generalised knots." Thesis, University of Sussex, 2016. http://sro.sussex.ac.uk/id/eprint/65625/.

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In this thesis we present a range of different knot theories and then generalise them. Working with this, we focus on biquandles with linear and quadratic biquandle functions (in the quadratic case we restrict ourselves to functions with commutative coefficients). In particular, we show that if a biquandle is commutative, the biquandle function must have non-commutative coefficients, which ties in with the Alexander biquandle in the linear case. We then describe some computational work used to calculate rack and birack homology.

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Alabdullah, Salam Abdulqader Falih. "Classification of arcs in finite geometry and applications to operational research." Thesis, University of Sussex, 2018. http://sro.sussex.ac.uk/id/eprint/78268/.

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In PG(2; q), the projective plane over the field Fq of q elements, a (k; n)-arc is a set K of k points with at most n points on any line of the plane. When n = 2, a (k; 2)-arc is called a k-arc. A fundamental question is to determine the values of k for which K is complete, that is, not contained in a (k + 1; n)-arc. In particular, what is the largest value of k for a complete K, denoted by mn(2; q)? This thesis focusses on using some algorithms in Fortran and GAP to find large com- plete (k; n)-arcs in PG(2; q). A blocking set B is a set of points such that each line contains at least t points of B and some line contains exactly t points of B. Here, B is the complement of a (k; n)-arc K with t = q +1 - n. Non-existence of some (k; n)-arcs is proved for q = 19; 23; 43. Also, a new largest bound of complete (k; n)-arcs for prime q and n > (q-3)/2 is found. A new lower bound is proved for smallest size of complete (k; n)-arcs in PG(2; q). Five algorithms are explained and the classification of (k; n)- arcs is found for some values of n and q. High performance computing is an important part of this thesis, where Algorithm Five is used with OpenMP that reduces the time of implementation. Also, a (k; n)-arc K corresponds to a projective [k; n; d]q-code of length k, dimension n, and minimum distance d = k - n. Some applications of finite geometry to operational research are also explained.

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符國忠 and Kwok-chung Fu. "Impact of IT applications in junior form mathematics learning." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2002. http://hub.hku.hk/bib/B31256235.

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Oliveira, Juliana Elvira Mendes de. "A trigonometria na Educação Básica com foco em sua evolução histórica e suas aplicações contemporâneas." Universidade Federal de Viçosa, 2013. http://locus.ufv.br/handle/123456789/5886.

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Made available in DSpace on 2015-03-26T14:00:06Z (GMT). No. of bitstreams: 1 texto completo.pdf: 6001989 bytes, checksum: 60a3e0d6e25d2e648e1c950a28c07369 (MD5) Previous issue date: 2013-08-12<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior<br>This dissertation aims to present a methodology for teaching the basic contents of Trigonometry in Basic Education focusing on its historical development and contemporary applications. For we present the contents that we believe to be the basic for this stage of education, addressing the trigonometry of the right-angled triangle, of an arbitrary triangle and of the trigonometric unit circle. We present a brief account of the historical development of Trigonometry, its close relationship with the development of Astronomy and also some of its applications in the present time. We introduct what the proposed and existing curriculum guidelines proposed by the federal and state governments suggest for the teaching of Trigonometry in Basic Education and how this content is covered in textbooks. We present a didactic sequence as methodological proposal with activities that use multimedia, clippings of the History of Mathematics and practical activities.<br>Esta dissertação tem o objetivo de apresentar uma proposta metodológica para o ensino dos conteúdos básicos de Trigonometria na Educação Básica com foco em sua evolução histórica e aplicações contemporâneas. Para isso apresentamos o conteúdo que julgamos básico para essa etapa de escolarização, abordando a trigonometria do triângulo retângulo, nos triângulos quaisquer e no círculo trigonométrico. Trazemos um breve relato do desenvolvimento histórico da Trigonometria, sua relação estreita com o desenvolvimento da Astronomia e também algumas de suas aplicações na atualidade. Apresentamos o que as propostas e orientações curriculares vigentes propostas pelos governos federal e estadual sugerem em termos do ensino de Trigonometria na Educação Básica e como este conteúdo é abordado nos livros didáticos. Trazemos uma sequência didática como proposta metodológica com atividades que utiliza recursos multimídia, recortes da História da Matemática e atividades práticas.

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Souza, Francine Dalavale Tozatto. "Trigonometria no ensino médio e suas aplicações." Universidade de São Paulo, 2018. http://www.teses.usp.br/teses/disponiveis/55/55136/tde-26102018-170937/.

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Neste trabalho fazemos um estudo detalhado sobre o tema Trigonometria. A trigonometria é um tema bastante discutido em sala de aula durante o ensino médio. Não apenas apresentamos resultados sobre o tema mas também suas provas e justificativas, assim como exemplos e exercícios com o objetivo de ter um material completo para professores do ensino médio que desejem estudar tais tópicos. Em seguida apresentamos algumas aplicações da Trigonometria que podemos encontrar em nosso dia-a-dia, também aqui o objetivo é apresentar motivação para o estudo deste importante assunto e tão frequente nos vestibulares atualmente. Finalmente, apresentamos uma atividade realizada com meus alunos em sala de aula. Esta dissertação foi desenvolvida como parte dos requisitos necessários para a obtenção do título de mestrado acadêmico junto ao Instituto de Ciências Matemáticas e de Computação (ICMC), da Universidade de São Paulo (USP).<br>In this dissertation we present a detailed study about Trigonometry. This subject is frequently discussed em classes during High school courses. We do not only present the main results about Trigonometry but also their proofs, as well examples and exercises. Our main objective here is obtain a complete text for high school teachers. We also present some applications of Trigonometry that can be easily find in our life. Here our main objective is to motivate the study of this important subject that appears so frequently in the exams for universities entrance. To conclude, we present an activity realized with high school students. This dissertation was developed as part of the requirements necessary for the obtension of the degree of Mathematics Professional Master at Instituto de Ciências Matemáticas e de Computação da Universidade de São Paulo (ICMC-USP).

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Reis, Fabiana dos. "UMA VISÃO GERAL DA TRIGONOMETRIA: HISTÓRIA, CONCEITOS E APLICAÇÕES." UNIVERSIDADE ESTADUAL DE PONTA GROSSA, 2016. http://tede2.uepg.br/jspui/handle/prefix/1506.

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Made available in DSpace on 2017-07-21T20:56:28Z (GMT). No. of bitstreams: 1 Fabiana Reis.pdf: 2755681 bytes, checksum: e3dc0c10579da17a989cb45f6078d987 (MD5) Previous issue date: 2016-02-26<br>The trigonometry has many applications not only in mathematics, but in different areas. Some problems can only be resolved with the use of its concepts. This paper presents a historical survey of the emergence of trigonometry, first, as a part of astronomy, after opening as a part of mathematics. Therefore, we engage the leading mathematicians and their contributions to obtain trigonometry as it currently is. We include the main settings, their properties, some demonstrations and also the trigonometric functions as a way to deepen their knowledge on the subject. Is out finally, some applications of trigonometric concepts in various areas in order to show that trigonometry goes far beyond simple repetitions of exercises in the classroom.<br>A trigonometria tem muitas aplicações não apenas em Matemática, mas em diversas áreas. Alguns problemas só podem ser resolvidos com o uso de seus conceitos. Neste trabalho apresenta-se um levantamento histórico sobre o surgimento da trigonometria, primeiramente, como uma parte da astronomia, depois se abrindo como uma parte da matemática. Para tanto, envolvemos os principais matemáticos e suas contribuições até obtermos a trigonometria como ela é atualmente. Incluímos as principais definições, suas propriedades, algumas demonstrações e também as funções trigonométricas como forma de aprofundar o conhecimento sobre o tema. Destacam-se, por último, algumas aplicações dos conceitos trigonométricos nas diversas áreas com o objetivo de mostrar que a trigonometria vai muito além de simples repetições de exercícios em sala de aula.

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Almusharrf, Amera. "Development of Fractional Trigonometry and an Application of Fractional Calculus to Pharmacokinetic Model." TopSCHOLAR®, 2011. http://digitalcommons.wku.edu/theses/1048.

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Kravchuk, Olena. "Trigonometric scores rank procedures with applications to long-tailed distributions /." [St. Lucia, Qld.], 2005. http://www.library.uq.edu.au/pdfserve.php?image=thesisabs/absthe19314.pdf.

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Books on the topic "Applications of trigonometry"

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R, Ziegler Michael, and Byleen Karl E, eds. Analytic trigonometry with applications. John Wiley, 2012.

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Wesner, Terry H. Trigonometry, with applications. W.C. Brown, 1986.

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Wesner, Terry H. Trigonometry, with applications. 2nd ed. Wm. C. Brown, 1994.

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Johnson, L. Murphy. Trigonometry with applications. Scott, Foresman, 1988.

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Barnett, Raymond A. Analytic trigonometry with applications. 8th ed. John Wiley, 2003.

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R, Ziegler Michael, and Byleen Karl, eds. Analytic trigonometry with applications. 7th ed. Brooks/Cole Pub. Co., 1999.

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R, Ziegler Michael, ed. Analytic trigonometry with applications. 6th ed. PWS Pub. Co., 1994.

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Barnett, Raymond A. Analytic trigonometry with applications. John Wiley, 2009.

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Goldstein, Larry Joel. Trigonometry and its applications. Irwin, 1993.

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Barnett, Raymond A. Analytic trigonometry with applications. 4th ed. Wadsworth Pub. Co., 1988.

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Book chapters on the topic "Applications of trigonometry"

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Whittlesey, Marshall A. "Trigonometry." In Spherical Geometry and Its Applications. Chapman and Hall/CRC, 2019. http://dx.doi.org/10.1201/9780429328800-4.

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Gustafson, Karl. "Semigroup Theory and Operator Trigonometry." In Semigroups of Operators: Theory and Applications. Birkhäuser Basel, 2000. http://dx.doi.org/10.1007/978-3-0348-8417-4_12.

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Sudin, Muhammad Nuruddin, Siti Norul Huda Sheikh Abdullah, Mohammad Faidzul Nasrudin, and Shahnorbanun Sahran. "Trigonometry Technique for Ball Prediction in Robot Soccer." In Robot Intelligence Technology and Applications 2. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-05582-4_66.

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Pedersen, Steen. "Trigonometric Functions and Applications." In From Calculus to Analysis. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-13641-7_11.

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Sedrakyan, Hayk, and Nairi Sedrakyan. "Application of Trigonometric Inequalities." In Problem Books in Mathematics. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-55080-0_5.

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Jung, Soon-Mo. "Trigonometric Functional Equations." In Springer Optimization and Its Applications. Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4419-9637-4_12.

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Mickens, Ronald E. "Applications and Advanced Topics." In Generalized Trigonometric and Hyperbolic Functions. CRC Press, 2019. http://dx.doi.org/10.1201/9780429446238-9.

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Koumandos, Stamatis. "Inequalities for Trigonometric Sums." In Springer Optimization and Its Applications. Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-3498-6_24.

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Sjoberg, John C. "Generalized Exponential and Trigonometric Functions." In Applications of Fibonacci Numbers. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-2058-6_51.

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Hendel, Russell Jay, and Charles K. Cook. "Recursive Properties of Trigonometric Products." In Applications of Fibonacci Numbers. Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-009-0223-7_17.

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Conference papers on the topic "Applications of trigonometry"

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Lokutsievskiy, Lev Vyacheslavovich. "Convex trigonometry with applications to sub-Finsler geometry." In International Conference "Optimal Control and Differential Games" dedicated to the 110th anniversary of L. S. Pontryagin. Steklov Mathematical Institute, 2018. http://dx.doi.org/10.4213/proc23004.

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Woolley, Ronald Lee. "Transitional Trigonometric Functions." In ASME 2008 International Mechanical Engineering Congress and Exposition. ASMEDC, 2008. http://dx.doi.org/10.1115/imece2008-66426.

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Crash pulses in automotive collisions often exhibit acceleration shapes somewhere between a sine and a step function and velocity shapes somewhere between a cosine and a linear decay. This is an example of real world behavior that is only somewhat like the familiar sine, cosine, or tangent shapes so commonly used in physical modeling. To adjust the mathematics to the problem, two familiar ordinary differential equations are merged to create a mathematical transition between trigonometric functions and polynomials by introducing one new parameter. The merged ODE produces a new set of “transitional trigonometry” functions that include both sets of familiar shapes and everything in between. For example, the sine function transitions smoothly into a constant or step function. The corresponding cosine function becomes a straight line. When the sine and cosine are plotted against each other the familiar unit circle undergoes a metamorphosis into a square. Integrals of these transitional trigonometric functions transition into a parabola, cubic polynomial, etc. These functions were developed to model a crash pulse in a vehicle collision, a task for which they work remarkably well. Basically, these functions are able to model a structure with force-deflection properties somewhere between a spring with linearly increasing force and a device that produces a constant force. One wonders what other applications in physics may exist besides crashing cars and what other pairs of physical models (represented by ODEs) might be merged together to produce other new and useful transitions.

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Katiyar, Kuldip, and Bhagwati Prasad. "Shape preserving trigonometric fractal interpolation." In MATHEMATICAL SCIENCES AND ITS APPLICATIONS. Author(s), 2017. http://dx.doi.org/10.1063/1.4973257.

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"TRIGONOMETRIC CURVE-BASED HUMAN MODELING." In International Conference on Computer Graphics Theory and Applications. SciTePress - Science and and Technology Publications, 2011. http://dx.doi.org/10.5220/0003316500310038.

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Chivukula, V. N. Aditya Datta, and Sri Keshava Reddy Adupala. "Music Signal Analysis: Regression Analysis." In 2nd International Conference on Machine Learning, IOT and Blockchain (MLIOB 2021). Academy and Industry Research Collaboration Center (AIRCC), 2021. http://dx.doi.org/10.5121/csit.2021.111205.

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Abstract:

Machine learning techniques have become a vital part of every ongoing research in technical areas. In recent times the world has witnessed many beautiful applications of machine learning in a practical sense which amaze us in every aspect. This paper is all about whether we should always rely on deep learning techniques or is it really possible to overcome the performance of simple deep learning algorithms by simple statistical machine learning algorithms by understanding the application and processing the data so that it can help in increasing the performance of the algorithm by a notable amount. The paper mentions the importance of data pre-processing than that of the selection of the algorithm. It discusses the functions involving trigonometric, logarithmic, and exponential terms and also talks about functions that are purely trigonometric. Finally, we discuss regression analysis on music signals.

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GuoXiang, Jin, and Ding Yong. "Birkhoff Type 2-Periodic Trigonometric Interpolation in the Family of Trigonometric Polynomial." In 2008 Pacific-Asia Workshop on Computational Intelligence and Industrial Application (PACIIA). IEEE, 2008. http://dx.doi.org/10.1109/paciia.2008.403.

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Memon, Qurban A., and Takis Kasparis. "Approximate trigonometric expansions with applications to image encoding." In Aerospace/Defense Sensing and Controls, edited by David P. Casasent and Andrew G. Tescher. SPIE, 1996. http://dx.doi.org/10.1117/12.242017.

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Miao, Hong, and Xiaoping Wu. "Active trigonometry and its application to thickness measurement on reflective surface." In Photonics China '98, edited by Shenghua Ye. SPIE, 1998. http://dx.doi.org/10.1117/12.318375.

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Detrey, Jeremie, and Florent de Dinechin. "Floating-Point Trigonometric Functions for FPGAs." In 2007 International Conference on Field Programmable Logic and Applications. IEEE, 2007. http://dx.doi.org/10.1109/fpl.2007.4380621.

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Lian, Yang, Li Juncheng, and Chen Guohua. "A Class of Algebraic Trigonometric Interpolation Splines and Applications." In 2010 International Conference on Computational and Information Sciences (ICCIS). IEEE, 2010. http://dx.doi.org/10.1109/iccis.2010.290.

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