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 covers functions
and special angles, Graphs of trig functions, Inverse trigonometric functions,
Key angle formulas, Trigonometric identities and equations, Solving an oblique
triangle, Polar coordinates, Polar functions and vectors.
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 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.