This book covers the following topics: Radian Angle Measurement, Definition of the Six Trigonometric Functions Using the Unit Circle ,Reference Angles, Coterminal Angles, Definition of the Six Trigonometric Functions Determined by a Point and a Line in the xy-Plane, Solving Right Triangles and Applications Involving Right Triangles, The Graphs of the Trigonometric Functions, The Inverse Trigonometric Functions, Solving Trigonometric Equations , Pythagorean and Basic Identities , Sum and Difference Formulas.
Author(s): James D. Anderson
This note explains the following topics: Foundations of Trigonometry, Angles and their Measure, The Unit Circle: Cosine and Sine, Trigonometric Identities, Graphs of the Trigonometric Functions, The Inverse Trigonometric Functions, Applications of Trigonometry, Applications of Sinusoids, The Law of Sines and cosines, Polar Form of Complex Numbers.
Author(s): Carl Stitz and Jeff Zeager
This note describes the following topics: Angles, Trigonometric Functions, Acute Angles, Graphs of Sine and Cosine, Trigonometric Equations, Formulas, Complex Numbers, Trigonometric Geometry, Law of Sines and Cosines.
Author(s): Dr. Randall Paul
This lecture note covers the following topics: The circular functions, Radians, Sinusoidal functions, Continuity of the trigonometric functions, Minima and Maxima, Concavity, Criteria for local maxima and minima, The Mean Value Theorem, The velocity of a falling object, Theoretical framework, Accumulation Functions, Minor shortcuts in taking definite integrals, Area between two curves, Algebraic properties of the natural logarithm.
Author(s): Charles Staats
This book has been written in a way that can be read by students. The chapters of this book are well suited for a one semester course in College Trigonometry. Topics covered includes: Equations and Inequalities, Geometry in the Cartesian System, Functions and Function Notation, Transformations of Graphs, Combining Functions, Inverse Functions, Angles and Arcs, Trigonometric Functions of Acute Angles, Trigonometric Functions of Any Angle, Trigonometric Functions of Real Numbers, Graphs of the Sine and Cosine Functions, Trigonometric Functions, Simple Harmonic Motion, Verifying Trigonometric Identities, Sum and Difference Identities, The Double-Angle and Half-Angle Identities, Conversion Identities, Inverse Trigonometric Functions and Trigonometric Equations.
Author(s): Marcel B. Finan
First Chapter explains Newton's Method of Limits to the mensuration of circular arcs and areas. The succeeding Chapters are devoted to an exposition of the nature of the Trigonometrical ratios, and to the demonstration by geometrical constructions of the principal propositions required for the Solution of Triangles.
Author(s): Hugh Blackburn
This lecture note talks about topics not usually covered in trigonometry. These include such topics as the Pythagorean theorem, proof by contradiction, limits, and proof by induction. As well as giving a geometric basis for many of the relationships of trigonometry.
Author(s): Steven Butler
The first six chapters of this book give the essentials of a course in numerical trigonometry and logarithmic computation. The remainder of the theory usually given in the longer courses is contained in the last two chapters.
Author(s): John Wesley Young and Frank Millett Morgan
This book contains all the propositions usually included under the head of Spherical Trigonometry, together with a large collection of examples for exercise.
Author(s): I. Todhunter
Elementary trigonometry is a book written by mathematicians H. S. Hall and S. R. Knight. This book covers all the parts of Elementary Trigonometry which can conveniently be treated without the use of infinite series and imaginary quantities. The chapters have been subdivided into short sections, and the examples to illustrate each section have been very carefully selected and arranged, the earlier ones being easy enough for any reader to whom the subject is new, while the later ones, and the Miscellaneous Examples scattered throughout the book, will furnish sufficient practice for those who intend to pursue the subject further as part of a mathematical education.
Author(s): H. S. Hall and S. R. Knight
This note explains the following topics: Annual Temperature Cycles, Trigonometric Functions, Trigonometric Models: Vertical Shift and Amplitude, Frequency and Period, Phase Shift, Examples, Phase Shift of Half a Period, Equivalent Sine and Cosine Models.
Author(s): Joseph M. Mahaffy
These notes are more of an introduction and guide than a full course. Topics covered includes: Applications of trigonometry, What is trigonometry?, Background on geometry, Angle measurement, Chords, Sines, Cosines, Tangents and slope, The trigonometry of right triangles, The trigonometric functions and their inverses, Computing trigonometric functions, The trigonometry of oblique triangles, Demonstrations of the laws of sines and cosines, Area of a triangle, Ptolemy’s sum and difference formulas and Summary of trigonometric formulas.
Author(s): David E. Joyce
The objective of a large part of mathematics is to study the relationships that exist between variables. There are essentially two approaches to doing this: visually and through formulas. Both of these methods will be explored in these notes. Throughout these notes are various exercises and problems. These notes also constitute an attempt to identify the essential elements of algebra and trigonometry and to separate these elements from purely computational and formal manipulations which can now be done by computers.
Author(s): Jerry Alan Veeh
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