was written with those teachers and students in mind who are engaged in
trigonometric ideas in courses ranging from geometry and second-year
algebra to trigonometry and pre-calculus. The lessons contain historical
and cultural context, as well as developing traditional concepts and
Crossfield, Charlyn Shepherd, Robert Stein and Grace Williams
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.
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.
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.
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
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.
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.