This note covers the
following topics: Angles and Their Measure, Right Triangle Trigonometry ,
Computing the Values of Trigonometric Functions of Acute Angles, Trigonometric
Functions of General Angles, Graphs of the Sine and Cosine Functions, Graphs of
the Tangent, Cotangent, Secant, and Cosecant Functions, Phase Shifts, The
Inverse Trigonometric Functions, Trigonometric Identities, Sum and Difference
Formulas, Double-angle and Half-angle Formulas, Trigonometric Equation,
Applications Involving Right Triangle, Area of a Triangle.
This note provides an introduction to
trigonometry, an introduction to vectors, and the operations on functions.
Topics covered includes: New functions from old functions, Trigonometry in
circles and triangles, trigonometric functions, vectors.
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.
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
covers elementary trigonometry. It is suitable for a one-semester course at the
college level, though it could also be used in high schools. The prerequisites
are high school algebra and geometry.
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.