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
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.
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 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.
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 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.
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.