This textbook entitled Trigonometry (Notes) is a complete and detailed account of trigonometry, including numerous solved problems and formula derivations with each and every step included. Furthermore, the textbook presents the development of trigonometry in a logical manner, starting with the definitions of the six trigonometric ratios on a right-triangle, and later generalizing these definitions for the rectangular coordinate system. Finally, the six trigonometric functions are abstracted from the six trigonometric functions. The textbook is essentially divided into two parts:

Trigonometry developed from the right-triangle, and

Trigonometry derived from the rectangular coordinate system.

Trigonometry (Notes) is intended for the student who wants to learn trigonometry completely and thoroughly, with a complete understanding of the concepts and their relationships to one another.

Except for the Table of Contents, the textbook is hand-written as opposed to typed; thus the word Notes in parentheses in the title.

Originally formulated for the home-schooled student, this five hundred page text and study guide provides extremely detailed explanations in simple English with numerous example problems accompanied by narrative explanations for each topic presented. Reader friendly and logically organized, this volume serves as an all-inclusive high-school algebra text for the college bound student or as an excellent study guide to accompany any serious algebra or trigonometry course. Hundreds of practice problems complete with solutions are included in the text, covering every aspect of a high school or introductory level college algebra course. Also, it is perfect as summer reading for the student who wishes to get ahead or for adults participating in continuing education courses.

Topics presented include: Review of Fundamental Concepts, Systems of Linear Equations, The Matrix (Determinants, The Augmented Matrix, CrammerÕs Rule, Row-echelon Form), Linear Functions, Graphs of Linear Functions, Absolute Value Functions, Systems and Inequalities, Linear Programming, The Polynomial (Factoring, Binomial Theorem, Rational Factor Theorem), Polynomial Equations and Imaginary Numbers, Polynomial Functions, Rational Expressions, Inverse Functions, The Conic Sections (Parabola, Circle, Ellipse, Hyperbola), Exponents and Logarithms, Logarithmic Equations, The Natural Logarithm, Exponential Functions and Applications, Triangle Trigonometry (Law of Sines, Law of Cosines, Law of Tangents), Radian Measure, Inverse Trigonometric Functions, Graphing Trigonometric Functions, Trigonometric Identities, Sequences and Series, Summation Notation, and much more.