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Lecture Notes on Algebra and Trigonometry
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
86 Pages 
This PDF covers the following topics related to Trigonometry : Trigonometry – An Overview of Important Topics, Understand How Angles Are Measured, Degrees, Radians, Circle, Trigonometric Functions, Definitions of trig ratios and functions, Find the value of trig functions given an angle measure, Find a missing side length given an angle measure, Find an angle measure using trig functions, Using Definitions and Fundamental Identities of Trig Functions, Fundamental Identities, Sum and Difference Formulas, Double and Half Angle Formulas, Product to Sum Formulas, Sum to Product Formulas, Law of Sines and Cosines, Understand Key Features of Graphs of Trig Functions, Graph of the sine function, Graph of the cosine function, Key features of the sine and cosine function, Graph of the tangent function, Graphing Trigonometric Functions using Technology.
Author(s): Governors State University
62 Pages
Notes for Trigonometry by Dr. Randall Paul
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
145 Pages
Trigonometry Lecture Charles Staats
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
112 Pages
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
183 Pages
Plane trigonometry and numerical computation
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
146 Pages
Lecture Notes Trigonometry (PDF 88P)
This note is focused on the following subtopics: Trigonometric Functions, Acute Angles and Right Angles, Radian Measure and Circular Functions, Graphs of the Trigonometric Functions, Trigonometric Identities, Inverse Trig Functions and Trig Equations, Applications of Trigonometry and Vectors.
Author(s): Andrew Koines
88 Pages
Calculus for the Life Sciences II Lecture Notes Trigonometric Functions (PDF 271P)
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
271 Pages
Dave's Short Trigonometry Course
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
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A short course in Trigonometry
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