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.
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
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.
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.
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.
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.
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.
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.
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.
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.