This is the homepage for the free book Trigonometry, by Michael Corral (Schoolcraft College). If you are looking for the Vector Calculus homepage, go here.
You can download the latest version (2009-12-16) of the book Trigonometry here:
trigbook.pdf
Note: The above file gets updated only with corrections (of typos, errors, etc). No new material
gets added, and no material gets removed.
The book is a PDF file, which requires a PDF viewer such as the freely available Adobe Acrobat Reader or noncommercial software (e.g. Evince, Okular, xpdf) to view it. The book is distributed under the terms of the GNU Free Documentation License, Version 1.2.
The PDF file above includes color graphics. Eventually you will be able to buy a printed, bound, paperback version of the book with grayscale graphics at Lulu.com. A notice will be placed here when that is available.
For those who want to view and/or compile the book's source files, the LaTeX source code is available here:
trigbook-1.0-src.tar.gz
You will need a relatively recent LaTeX installation to compile the source code. In particular, you will need
a recent CVS version of the TikZ graphics package (at least the 2009-06-02 CVS version), which you can get here:
http://www.texample.net/tikz/builds/.
A build script (trigbook.sh) for Linux/UNIX systems is included for building the PDF file.
See the included README file for more instructions.
Numerical code samples: The code samples from the book (written in Java, Python, Octave) can be downloaded here: trigbook_code.zip. These are the programs listed in Section 6.2 of the book.
Here is a Java applet demonstrating Thales' Theorem.
To use the applet your browser will need at least version 1.4.2 of the Java plugin.
Book description: This is a text on elementary trigonometry, designed for students who have completed courses in high-school algebra and geometry. Though designed for college students, it could also be used in high schools. The traditional topics are covered, but a more geometrical approach is taken than usual. Also, some numerical methods (e.g. the secant method for solving trigonometric equations) are discussed. A brief tutorial on using Gnuplot to graph trigonometric functions is included.
There are 480 exercises in the book, with answers and hints to selected exercises.
News
(2009-12-16) In Appendix A, the answers to Exercise 3 and 5 in Section 4.4 were corrected, a typo in Example 4.4 in Section 4.2 was fixed, and a typo in Example 4.13 in Section 4.3 was fixed (thanks to S. Halas, Se. Tarpinian, and D. Billington for finding those). Also expanded the hint to Exercise 10 in Section 3.4.
(2009-11-23) In Appendix A, the answer to Exercise 5 in Section 4.2 was corrected (thanks to K. Kachin for finding that).
(2009-11-11) Fixed an error in Exercise 6 in Section 3.3 (thanks to Sa. Tarpinian for finding that).
(2009-10-12) Fixed the caption in Figure 1.4.8(b) in Section 1.4, fixed a double word in Example 1.26 in Section 1.5 (thanks to M. Brey for finding that).
(2009-09-23) Removed a broken page reference in the exercises in Section 1.4. (thanks to M. Khoury for finding that).