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 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 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
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.
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.
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.
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.
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.