This text covers the content of a standard trigonometry course, beginning with a review of facts from geometry.

It has detailed information about Trigonometry. The following contents are:Contents1History2Overview2.1Extending the definitions2.2Mnemonics2.3Calculating trigonometric functions3Applications4Pythagorean identities5Angle transformation formulae6Common formulae6.1Law of sines6.2Law of cosines6.3Law of tangents6.4Euler's formula

This trigonometry textbook is different than other trigonometry books in that it is free to download, and the reader is expected to do more than read the book and is expected to study the material in the book by working out examples rather than just reading about them. So this book is not just about mathematical content but is also about the process of learning and doing mathematics. That is, this book is designed not to be just casually read but rather to be engaged.

Since this can be a difficult task, there are several features of the book designed to assist students in this endeavor. In particular, most sections of the book start with a beginning activity that review prior mathematical work that is necessary for the new section or introduce new concepts and definitions that will be used later in that section. Each section also contains several progress checks that are short exercises or activities designed to help readers determine if they are understanding the material. In addition, the text contains links to several interactive Geogebra applets or worksheets. These applets are usually part of a beginning activity or a progress check and are intended to be used as part of the textbook.

The authors are very interested in constructive criticism of the textbook from the users of the book, especially students, who are using or have used the book. Please send any comments you have to trigtext@gmail.com.

Short Description:
This book covers the major topics within the study of trigonometry, including vectors and their applications.

Word Count: 4496

ISBN: 978-1-946135-81-0

(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)

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 495 exercises in the book, with answers and hints to selected exercises.

It has detailed content about trigonometry. The following are the contents:1History2Overview2.1Extending the definitions2.2Mnemonics2.3Calculating trigonometric functions3Applications4Pythagorean identities5Angle transformation formulae6Common formulae6.1Law of sines6.2Law of cosines6.3Law of tangents6.4Euler's formula

CK-12 Foundation's Trigonometry FlexBook is an introduction to trigonometry for the high school student. It includes chapters on graphs of trigonometric functions, trigonometric identities, inverse trigonometric functions, triangles and vectors, and the polar system.

The precursors to what we study today as Trigonometry had their origin in ancient Mesopotamia, Greece and India. These cultures used the concepts of angles and lengths as an aid to understanding the movements of the heavenly bodies in the night sky. Ancient trigonometry typically used angles and triangles that were embedded in circles so that many of the calculations used were based on the lengths of chords within a circle. The relationships between the lengths of the chords and other lines drawn within a circle and the measure of the corresponding central angle represent the foundation of trigonometry - the relationship between angles and distances.

Learning Outcomes:Students will be able to:analyze situations, check for limitations, and examine appropriate methods of solutions using trigonometrypractice manipulating trigonometric functions and in substituting equivalent expressionswork in small groups encouraging classmates and communicating thoughts

This book was designed as an introductory trigonometry textbook for college students with the explicit goal of reducing textbook costs.

Students explore the concept of similar right triangles and how they apply to trigonometric ratios. Use this lesson as a refresher of what trig ratios are and how they work. In addition to trigonometry, students explore a clinometer app on an Android® or iOS® device and how it can be used to test the mathematics underpinning trigonometry. This prepares student for the associated activity, during which groups each put a clinometer through its paces to better understand trigonometry.

Analyze situations, check for limitations, and examine appropriate methods of solutions using trigonometry practice. Manipulate trigonometric functions and substitute equivalent expressions.Work in small groups encouraging classmates and communicating thoughts.

This video segment from Regents Review 2.0 uses a trigonometry equation to determine the height of a flagpole located in front of the school.

CK-12 Trigonometry Teacher's Edition provides tips and common errors for teaching CK-12 Trigonometry Student Edition. The solution and assessment guides are available upon request.

Algebra and Trigonometry provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra and trigonometry course. The modular approach and the richness of content ensures that the book meets the needs of a variety of courses. Algebra and Trigonometry offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they’ve learned.

It gives detailed information about Trigonometry. It has the following contents:
Contents :
1 History
2 Overview
2.1 Extending the definitions
2.2 Mnemonics
2.3 Calculating trigonometric functions
3 Applications
4 Pythagorean identities
5 Angle transformation formulae
6 Common formulae
6.1 Law of sines
6.2 Law of cosines
6.3 Law of tangents
6.4 Euler's formula
7 See also
8 References
9 Bibliography

Exploration assignments of transformations with both Algebra 2 parent functions and Trigonometric Functions.

Algebra and Trigonometry 2e provides a comprehensive exploration of mathematical principles and meets scope and sequence requirements for a typical introductory algebra and trigonometry course. The modular approach and the richness of content ensure that the book addresses the needs of a variety of courses. Algebra and Trigonometry 2e offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they’ve learned.Attribution: This work "Algebra and Trigonometry, 2e" by Jay Abramson is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted.  

Brigitte Tennis uses the visual aid of spraying water from one point of a triangle to illustrate to her students opposite and adjacent sides. She then beats out a rhythm on drums to teach her students the mnemonic device SOH-CAH-TOA for finding sine, cosine, and tangent.

A quick review of some ideas from trigonometry that will help us with AC analysis. The definitions of sine, cosine, and tangent, circles, degrees, radians. Created by Willy McAllister.