On The Definitions Of The Trigonometric Functions
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On The Definitions Of The Trigonometric Functions
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Author : Alexander Macfarlane
language : en
Publisher:
Release Date : 1894
On The Definitions Of The Trigonometric Functions written by Alexander Macfarlane and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1894 with Trigonometrical functions categories.
On The Definitions Of The Trigonometric Functions
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Author : Alexander Macfarlane
language : en
Publisher:
Release Date : 1893
On The Definitions Of The Trigonometric Functions written by Alexander Macfarlane and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1893 with categories.
A Treatise On Trigonometry Classic Reprint
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Author : James Edward Oliver
language : en
Publisher: Forgotten Books
Release Date : 2017-05-26
A Treatise On Trigonometry Classic Reprint written by James Edward Oliver and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-26 with Mathematics categories.
Excerpt from A Treatise on Trigonometry The general definition of the trigonometric functions in terms applicable to all angles, without regard to sign or magnitude. The expression of the functions of all angles in terms of the functions of positive angles less than a right angle, by direct reference to the definitions. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Squigonometry The Study Of Imperfect Circles
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Author : Robert D. Poodiack
language : en
Publisher: Springer Nature
Release Date : 2022-12-15
Squigonometry The Study Of Imperfect Circles written by Robert D. Poodiack and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-15 with Mathematics categories.
This textbook introduces generalized trigonometric functions through the exploration of imperfect circles: curves defined by |x|p + |y|p = 1 where p ≥ 1. Grounded in visualization and computations, this accessible, modern perspective encompasses new and old results, casting a fresh light on duality, special functions, geometric curves, and differential equations. Projects and opportunities for research abound, as we explore how similar (or different) the trigonometric and squigonometric worlds might be. Comprised of many short chapters, the book begins with core definitions and techniques. Successive chapters cover inverse squigonometric functions, the many possible re-interpretations of π, two deeper dives into parameterizing the squigonometric functions, and integration. Applications include a celebration of Piet Hein’s work in design. From here, more technical pathways offer further exploration. Topics include infinite series; hyperbolic, exponential, and logarithmic functions; metrics and norms; and lemniscatic and elliptic functions. Illuminating illustrations accompany the text throughout, along with historical anecdotes, engaging exercises, and wry humor. Squigonometry: The Study of Imperfect Circles invites readers to extend familiar notions from trigonometry into a new setting. Ideal for an undergraduate reading course in mathematics or a senior capstone, this book offers scaffolding for active discovery. Knowledge of the trigonometric functions, single-variable calculus, and initial-value problems is assumed, while familiarity with multivariable calculus and linear algebra will allow additional insights into certain later material.
A Treatise On Trigonometry
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Author : Oliver
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2017-09-15
A Treatise On Trigonometry written by Oliver and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-15 with categories.
Thi8 book is one of a series of text-books to be prepared by the department of mathematics of Cornell University, in accord- ance with the scheme of instruction now in force here. It was outlined and written mainly by Prof. Jones; but it has been carefully read by all of us ; the general plan, and all difficulties, huve been discussed together, the proofs have been submitted to all, and it goes out as our joint production. It is designed as a drill-book for class use ; its leading features are : The general definition of the trigonometric functions in terms applicable to all angles, without regard to sign or magnitude. The expression of the flmctions of all angles in terms of the flinctions of positive angles less than a right angle, by direct reference to the definitions. The graphical representation of functions. The general proof of the formulae for the functions of the sum and difference of two angles, of double angles, half-angles, etc. The differentiation of trigonometric functions, their develop- ment thereby into series, and the computation of the trigono- metric canon by means of these series. The solution of oblique triangles by means of right triangles, as well as by the general properties of triangles ; and by the use of natural as well as logarithmic functions. An exhaustive discussion of the ambiguous and impossible cases of right and oblique triangles. A careful choice and arrangement of topics, according to their relations to practical work and to the higher mathematics. IV PREFACE. The exact statement of principles in the form of theorems and corollaries, and their rigorous demonstration. Frequent reference of collateral matter to the reader for demonstration. Copious and varied exercises. In the preparation of the book, free use has been made of the works of other authors, particularly those of Briot and Bouquet, De Morgan, Todhunter, Peirce, Wheeler, Greenleaf, Loomis, and Chauvenet. The careful reader will doubtless find many t^'pographical and other errors in this first edition ; he will confer a great favor if he will kindly communicate them to either of the authors. Any suggestions from practical teachers, looking to the improvement of the book in either matter or form, will be welcomed and esteojned of great value. Among other such improvements now in contemplation is the addition of a chapter on the applications of spherical trigonometry to astronomy, geodesy and navigation, and one on imaginaries, and an alphabetical index to the whole. To such teachers as do not desire to take up the whole treatise the following abridgment is recommended : I. �� 1-23, except the note to � 18, and Note 4 to � 19 ; selec- tions from Ex. 1-7, 9, 21-23, and 25-28. 11. ��1-3. III. � 2 ; � 3, one method, and � 1 if the second method is chosen; Ex. 1-19 and 26-45. IV. ��1, 2, 4, 5 and 6, one method, and � 3 if the second method is chosen, except Thms. 8-10 ; Ex. 1-26. O. W. J.
Analytic Properties Of Trigonometric Functions
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Author : Bernard Feldman
language : en
Publisher:
Release Date : 1974
Analytic Properties Of Trigonometric Functions written by Bernard Feldman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Mathematics categories.
Trigonometry For Dummies
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Author : Mary Jane Sterling
language : en
Publisher: John Wiley & Sons
Release Date : 2014-02-06
Trigonometry For Dummies written by Mary Jane Sterling and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-06 with Mathematics categories.
A plain-English guide to the basics of trig Trigonometry deals with the relationship between the sides and angles of triangles... mostly right triangles. In practical use, trigonometry is a friend to astronomers who use triangulation to measure the distance between stars. Trig also has applications in fields as broad as financial analysis, music theory, biology, medical imaging, cryptology, game development, and seismology. From sines and cosines to logarithms, conic sections, and polynomials, this friendly guide takes the torture out of trigonometry, explaining basic concepts in plain English and offering lots of easy-to-grasp example problems. It also explains the "why" of trigonometry, using real-world examples that illustrate the value of trigonometry in a variety of careers. Tracks to a typical Trigonometry course at the high school or college level Packed with example trig problems From the author of Trigonometry Workbook For Dummies Trigonometry For Dummies is for any student who needs an introduction to, or better understanding of, high-school to college-level trigonometry.
An Introduction To Trigonometry And Its Applications
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Author : Vasila Postolică
language : en
Publisher: Bentham Science Publishers
Release Date : 2015-10-03
An Introduction To Trigonometry And Its Applications written by Vasila Postolică and has been published by Bentham Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-03 with Mathematics categories.
This book represents a novel approach for the trigonometry and an original scientific work in this field, by using the ensemble structure composed of the real analysis and the axiomatic fundaments of geometry. Throughout this e – book one presents, in a proper manner, definitions, properties, formulae and applications more specific of the subject title and its immediate connections. The book is recommended not only as a pertinent introduction for the high school students, being also very useful for the university students, mathematics teachers and anyone who is interested in the major elements regarding the essence of real mathematics.
Learning Trigonometry By Problem Solving
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Author : Alexander Rozenblyum
language : en
Publisher: World Scientific
Release Date : 2021-06-25
Learning Trigonometry By Problem Solving written by Alexander Rozenblyum and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-25 with Mathematics categories.
In this book, trigonometry is presented mainly through the solution of specific problems. The problems are meant to help the reader consolidate their knowledge of the subject. In addition, they serve to motivate and provide context for the concepts, definitions, and results as they are presented. In this way, it enables a more active mastery of the subject, directly linking the results of the theory with their applications. Some historical notes are also embedded in selected chapters.The problems in the book are selected from a variety of disciplines, such as physics, medicine, architecture, and so on. They include solving triangles, trigonometric equations, and their applications. Taken together, the problems cover the entirety of material contained in a standard trigonometry course which is studied in high school and college.We have also added some interesting, in our opinion, entertainment problems. To solve them, no special knowledge is required. While they are not directly related to the subject of the book, they reflect its spirit and contribute to a more lighthearted reading of the material.
Precalculus
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Author : David Lippman
language : en
Publisher:
Release Date : 2022-07-14
Precalculus written by David Lippman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-14 with categories.
This is an open textbook covering a two-quarter pre-calculus sequence including trigonometry. The first portion of the book is an investigation of functions, exploring the graphical behavior of, interpretation of, and solutions to problems involving linear, polynomial, rational, exponential, and logarithmic functions. The second portion of the book introduces trigonometry, introduced through an integrated circle/triangle approach. Identities are introduced in the first chapter, and revisited throughout. Likewise, solving is introduced in the second chapter and revisited more extensively in the third chapter. An emphasis is placed on modeling and interpretation, as well as the important characteristics needed in calculus.