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.
This note explains the following topics:
Basic Trigonometry, Applications to complex numbers,
Applications to complex Geometry, Application to Planar Geometry, 3D
Geometry and Trigonometric Substitution.
This book
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
skills.
Author(s): Don
Crossfield, Charlyn Shepherd, Robert Stein and Grace Williams
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
Difference Formulas.
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.
Elementary trigonometry
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.