Trig book pdf

Each section contains a glossary which can be helpful and convenient, but for instructors who limit their teaching to specific sections, a comprehensive glossary that is easily Each section contains a glossary which can be helpful and convenient, but for instructors who limit their teaching to specific sections, a comprehensive glossary that is easily identified in the index would be much more helpful.

I have not found inaccuracies. I found the introductions to the material and real world applicable examples to be unbiased. However, the explanation of factoring trinomials with leading coefficients not 1 only explains one method grouping instead of explaining the general principle. Some instructors prefer to teach factoring trinomials using trial and error with a focus on students understanding the general principle as the publisher explains for factoring trinomials with coefficients of 1 and factoring by pulling out the GCF.

I also disagree with the explanation of power functions in that variables raised to fractional powers were said to also be power functions. I really appreciated the fact that the text has links to youtube videos in some sections.

This will make the text much more interactive and relevant to the student. The real life examples seemed quite relevant to today's culture. However, one example in section 1. To my knowledge, that term is not used in this current generation of graduating high school students.

The text is well written, and the examples are interactive. The real-life examples do not contain technical terminology which would be difficult for the average reader to understand.

The text is consistent in how it presents material. Each section has an introduction to material, interactive examples, practice problems, and a glossary at the end. While I do feel the text is well organized, some sections contain an enormous amount of material. If considering the book for a Pre-Calculus or Trigonometry course, the layout is appropriate to give a brief overview of previously taught Algebra topics. I would not prefer this book for College Algebra.

I have a great appreciation for the interactive examples. However, some examples do not state the solutions as others do, which could be confusing to some readers. The introduction to each section uses material from a variety of cultures throughout history such as Egyptians, Grecians, Haitians. The introduction also explains applications in a variety of fields such as business, science, engineering, and architecture.

I appreciated many qualities about this book. I enjoyed Section 1. The interactive examples are set up in a way that it gives students a chance to consider solutions before they are told what they are. Students can then click on the link to receive either validation or correction for their thoughts. As stated earlier, the youtube links make the text user friendly to students today. Improvements to the text could include more common types of factoring examples in Section 1.

The explanation of factoring trinomials with a leading coefficient not 1 could explain the general principle of factoring as was done for factoring by grouping and factoring trinomials with leading coefficient of 1 before describing a particular method. The explanation of converting degrees to radians and radians to degrees could be more straightforward by offering a formula early one instead of using the concept of rotations. The examples for this are also quite complicated.

All in all, it is a great option for a Trigonometry class. The text book is comprehensive, covering most of the materials for College Algebra and Trigonometry in a standard, traditional way. It has an introduction, learning objectives, contents with definitions, key points, graphs, and examples with It has an introduction, learning objectives, contents with definitions, key points, graphs, and examples with similar practice questions.

It lacks the integrated connection between concepts within the book. Examples and graphic displays are quite standard and clear. I especially like the video using the wolfram graphic to illustrate the polar graphs in trigonometry functions. The notations are quite consistent throughout the book. The online version of the textbook and the pdf version of the textbook are a little different.

In the pdf version, the highlighted region is mainly for the definition, formulas and key points, which are very consistent. The textbook is written in a way that can be subdivided into smaller sections. I created a module called Solving Zero for Polynomial Equation in degree two. I combined parts from chapter 1, 2, 5, 6, and 9.

I added few examples or graphs for the completeness to some topics. I also added some examples requiring software to estimate the zero. It works well. The topics are presented in a logical and clear fashion. This book covered many topics. It is not easy to navigate the reference materials within the textbook. For example, there are no links between key terms and definitions within shaded boxes. However, they are in shaded boxes as well as the definitions.

It is a little bit confusing. And the sizes of graphs and fonts for those examples in shaded boxes are not consistent. It looks a little odd sometimes. I did not care much for the calculator explanations. Aside from this, the textbook is easy to adapt into one to two courses. I like the wolfram YouTube video on polar graphing. The textbook can implement more application-based questions to increase some challenging exercises for students to explore. The text was very thorough.

In fact, when using it in my Advanced Algebra course I skipped many sections. The homework problems were plentiful and offered a lot of variety. However, the word problems all felt a little too similar.

A student doing A student doing a few problems in a row could settle into a "routine" versus apply their problem solving skills. As for the index and glossary, they were comprehensive and useful. Also, the math type often downloaded garbled. I never found an Instructors Manual so I can't comment on accuracy. However, the different sections with examples were accurate.

Math is Math, it doesn't require updates. However, I wish that the complex number sections and hmwk problems requiring the use of complex numbers was seperated from the main content. If an instructor does not have complex numbers in their course content, they run the risk in later sections of assigning problems that use them.

Minimal text is how I prefer to teach Algebra and Trig. I focus on the symbolic language. The text in this book was adequate and not superfluous. Please see the above comments on Complex Numbers.

Other than that, I thought the topics were maybe broken down too far. It at times felt like it was less than College or even Advanced Algebra level. Some of the math text did not download correctly, preventing students from being able to do assigned homework.

It was my first experience with an OER and I intend to use it again. I believe the second time around will be as insightful as the first. Algebra and Trigonometry text covers a standard typical topics for Algebra course. Within each concept there is an appropriate level of critical thinking and application.

There is a perfect level of comprehensiveness. Overall , the accuracy of the text was very good. The authors have separate important definitions, results, concepts , and theorems in blue text boxes that direct the reader's attention. Notations and explanations seems fairly accurate. This text is adequately relevant to the subject as it is taught today. The authors use real world examples in the chapters and the homework. The real -life applications provided in the book are general enough that changes would not be necessary.

They are good for all time. The text has a good clarity and it is very readable to students at this level. The use of common fronts, text boxes, and overall the language and organization of the text is excellent. It is a user- friendly because the layout makes it easier for students. The text is very consistent in the language used from section to section as will as its terminology and symbols. The text is very consistent in its approach to explanation and students engagement.

Additionally , the notations used lead students to strong comprehension. The flow is consistent and clear in each section in terms of how concepts are introduced.

The authors used consistent terminology as in most other math textbooks. The text is breaking down the content into easy parts. It is appropriately designed and ordered from section to section which makes the learning easier. Overall the organization of the text is logical and seems pedagogically justified. The layouts such as the transition from topic to topic from within a section and between sections is easy. Topics are organized from easier to more difficult in a logical manner.

The navigation is a quite user- friendly. The links within the text that allow the user to jump to specific topic in the text are useful. All the links work well. The text uses appropriate organization of graphics and text highlights important concepts.

The colors for text, front, and headings are all appropriate and help to focus the readers's attention to what is truly important. The text appears to be grammatically correct.

It is error -free. It is obvious that the authors took their time to eliminate errors from this text. The text is not culturally insensitive or offensive in any way. The text doesn't have as many culturally inclusive examples as other traditional text books, it would be beneficial to incorporate more culturally diverse examples for our diverse student population.

I would thank the authors for their great effort in putting together this text. I am planning on adapting this text for my classroom within the next year. It 's a well written , I like the format and the flow of the concepts. Reviewed by G. This book covers all the standard topics of both a college algebra and trigonometry course.

I could only find two topics that I wish were included neither are typically included college algebra and trigonometry texts. The first was a The first was a discussion of the importance of proof in mathematics. Otherwise students can and usually do just see the trig identity section as "a bunch of stuff to memorize and symbols to push around" without understanding their importance. The second was the inclusion of Euler's formula when covering the polar form of complex numbers.

The actual course material hasn't changed of course in the last years, so there is little chance of the material itself rendering the text obsolete. The greater danger is in examples that could seem dated in a few years. Care seems to have been taken in this regard. The only examples I noticed that I thought might seem out of place were problems that involved the cost of phone service. They seem to have been written with land lines in mind, and might have been better expressed as costs for data plans.

The book is clear and straightforward. It could be described as "no-nonsense". It doesn't "sparkle" or contain moments of humor that would draw students in.

Modularity is not very easy to achieve and often not highly desirable in a math text that by necessity builds step by step on prior knowledge. However, this book does present the trigonometry in a way that could be separated from the algebra, making this a suitable book for a course on just college trigonometry. One of the things I most like about this text especially the algebra half is that topics are organized in a way that requires revisiting and deepening the understanding of earlier topics.

For example, the book introduces polynomials and factoring polynomials in chapter 1, then comes back to solving quadratic equations completing the square, etc in the middle of chapter 2, then graphing quadratics by completing the square in chapter 5, then graphs and roots of general polynomials.

Its treatment of linear functions is similar beginning with solving one-variable linear equations at the beginning of chapter 2, then linear inequalities at the end of chapter 2, before graphing and linear regression in chapter 4.

This spiraling back to re-visit topics is one of the best features of the text. The online version of the book is reasonably easy to navigate with no significant problems. The high-quality pdf version is a bit large, however, and slower machines may have trouble scrolling through the whole file. The text covers all areas related to algebra and trigonometry, starting from the very basics, such as numbers or plotting coordinates, and taking the student to a minimum level from which to start further studies.

Added value are the final Added value are the final chapters regarding geometry, sequences and probability. An appropriate index has been added at the end of the book. The book is relevant for students that are weak with their algebra and need to revise key areas in order to attempt further studies. Final chapters about geometry, sequences and probability, questions about real world applications make the content up to date. Examples and real world applications show that the book can be used by students that want to attempt further studies in very different areas, such as biology and physics.

The clear sections within the text and questions makes it easy to update. Thus the book seems to have a long longevity. Technical terminology is introduced with examples and stories.

These stories relate to the abstract ideas that the student needs to learn. An example of this can be seen on page 74, where the use of coordinate axis is introduced with the story of where to position a fly within the ceiling with the use of perpendicular walls.

Thus an adequate context is being provided, that will help the student go back and forward in order to learn the abstract ideas that are needed to progress. The same terminology and ideas are being used throughout the book. An example of this is the consistency between chapter 2, where the coordinate system is introduced , and the subsequent chapters, such as chapter 6, where the same coordinate system is used with other functions.

The text has been divided into smaller reading sections with the use of different type of headings. It makes it easy to skip parts, or concentrate more on others. Due to the nature of Mathematics, it is clear that some ideas need to have been worked upon while progressing through the book. However, the clear index and headings make it easy to jump to a different section, and also give hints of where to find appropriate information, examples, and questions if needed.

Topics in the text are presented in a logical fashion, starting from the very basics, building on top of them and reaching out for more difficult topics. This structure is clear in the index and throughout the chapters. Starting with examples to introduce the basic abstract ideas, makes the content flow.

I downloaded the PDF version of the text. Navigating, making it smaller or bigger, writing a comment or highlighting parts of the text was very easy. However I did miss the same index that appears on the contents pages iii to vi on the left hand side of the PDF reader interface. That could be improved to make navigation throughout different topics easier. PDF version could be improved adding an index to the left of the interface.

A chapter about statistics could be added and linked with probability. All in all, it is a good introductory text to be used across faculties.

The text covers numerous subject's that would be covered in several different courses where I teach. The book covers several more topics than the title would indicate. There are glossaries at the end of each section of each chapter which I found There are glossaries at the end of each section of each chapter which I found to be effective and useful.

The applications and the introductory sections seem timely and unlikely to be obsolete any time soon. Most of the material is unchanging and it would not be difficult to rewrite the introductory sections which tend to deal with real word situations.

The book is really straightforward and clear and free from a lot of the razzle dazzle that current mathematics textbooks tend to have. The glossary sections are a good innovation and the terminology is well explained. The sections are not too long. There are numerous subheadings and an instructor could pick and choose and, indeed, would have to topics to cover.

The book is over pages long so it could be used for several individual courses. It covers elementary algebra, trigonometry, topics from precalculus, probability, and several other topics.

It covers so many topics that it is a little hard to say that the topics appear in a logical, clear fashion. Because so many topics are covered, it could be argued that the book is compelled to jump around a bit. The book is totally straightforward and simple in its presentation without trying to be flashy in any way.

I found this simple, straightforward interface appealing. I found nothing culturally insensitive or offensive, but on the other hand, I don't the that that book makes use of multiple races, ethnicities or backgrounds.

It would could be used for many different courses at the community college where I teach. Each department or teacher would have to know which sections of the book should go with which course. This book matches or current text very closely, so it will follow the same terminology and style we already use. The text does allow for students with varying levels of readiness, as the first two chapters covers topics typically encountered The text does allow for students with varying levels of readiness, as the first two chapters covers topics typically encountered in an "Intermediate Algebra" course.

Topics covered include all the algebra and trigonometry to prepare a student for an introductory level calculus course. Contextual problems are included throughout. A comprehensive index lists major topics and links to the appropriate page when utilizing the pdf file provided. Applications are up to date. In addition, technology is incorporated in a generic way so as to allow for various models of calculators or utilizing software, web- based calculators or spread sheets.

The book provides links to you tube videos and provides support for online homework using service including webassign, xyz homework and others. Examples are presented in a clear manner. Each section and each chapter follows the same pattern to facilitate usage of the book.

Each chapter concludes with a summary and a set of practice problems in addition to problems at the end of each section of the text. In addition the book divides chapters into major sections.

Each section of each chapter can be completed reasonably in a day or two of a typical course. There is some option to re order chapters and topics.

Each section starts with some motivation of the content, examples of problems, followed by relevant applications. Links to videos are included and the chapter ends with a comprehensive set of problems. The PDF file conveniently links both the table of contents and index to the relvant section, simplifying navigation to the desired sections. The pictures and diagrams are claer.

The pdf file links both the table of contents and index to the appropriate page in the text. Examples are generally culture and gender neutral. There is no bias in the presentation of material. Any course utilizing the text would be well prepared for a claculus course aor any other program requiring a typical background in these topics of mathematics. This book is a comprehensive textbook. This book does not provide an effective index and glossary.

However, users can use the Comprehensiveness rating: 1 see less. However, users can use the content list to find the section needed. Yes, this is a good question: the authors should spend a little more time to develop an index and glossary that may help students and other learners. The contents in this book are basic algebra and trigonometry. I did not find significant error. I believe it is unbiased.

So, it is fine. The teachers who use this book may add in other application problems as needed -- this happen to my teaching all the time whenever what textbook I use. I do feel this book is a little bit too long though.

Properly shorten it may be a good idea. Based on my experience this book is easy to read by students. I would say that it is not easy to keep internally consistent in terms of terminology and framework by these many authors.

I was surprised that it is just fine. I feel it is quite consistent. Yes, the book contents are arranged into 13 chapters. It is quite easy to select the topics needed to make a course with 3-credit, 4-credit, or 5-credit. This book certainly provides enough optional contents for our sequence of two 4-credit courses algebra and trigonometry. I reviewed this book using the online book version. Book loading is relatively slow. Navigating from chapter to chapter online takes a while to load.

This book has over a thousand pages! Once it loaded up, the text is clear, the pictures are very nice, too. This book definitely is not culturally insensitive or offensive in any way. This book should be acceptable by all races, ethnicities, and backgrounds including international usage. Some chapters were a little bit too long.

Try to avoid including several quite similar examples. The online content list has no page number -- I am not sure the paper copy since I didn't see -- better add it on. It would be nice if user can online navigate using page numbers.

Algebra and Trigonometry provides a comprehensive and multi-layered exploration of algebraic principles. The modular approach and the richness of content ensures that the book meets the needs of a variety of programs. Algebra and Trigonometry guides and supports students with differing levels of preparation and experience with mathematics. Ideas are presented as clearly as possible, and progress to more complex understandings with considerable reinforcement along the way. A wealth of examples — usually several dozen per chapter — offer detailed, conceptual explanations, in order to build in students a strong, cumulative foundation in the material before asking them to apply what they've learned.

OpenStax College has compiled many resources for faculty and students, from faculty-only content to interactive homework and study guides.

Content Accuracy rating: 5 This book has been vetted. I did not find errors. Clarity rating: 4 I am unsure if my confusion with the Identities chapter was just me or if others will feel the same. So, regardless of how modular this book may or may not be, I believe it is in the teacher's best interest to present topics in the order laid out by the book, as much as possible.

The book begins by looking fairly in depth at angle measure, a topic which is often glossed over in trigonometry texts. The focus for the first several sections is on the sine and cosine functions, so that students can develop a thorough understanding of how those functions behave before turning attention to the other four trig functions, all of which can be viewed as derivative of the sine and cosine.

Circular trigonometry is covered before right-triangle trig, which, as mentioned before, encourages a more holistic understanding of trig than the reverse approach.

In many textbooks, vectors are withheld until later in the book, where they are lumped in with other "applications" of trigonometry. Here, they are presented immediately following the traditional topics of right-triangle trig, which I like. The remaining topics--trig identities, trig equations, and complex numbers--are covered in the standard order.

A comprehensive overview of the algebra of complex numbers is presented prior to the trigonometry of complex numbers. The book was easily legible, and all charts and diagrams were clear and easy to read.

The book has many links to external applets, all of which that I checked worked. In many respects, this book conforms to current understanding of trigonometry education. A significant amount of time is spent early developing students' understanding of angles and angle measure.

Students learn not only the process of measuring angles, but also the nature of angles themselves. Both radian and degree measure are presented in terms of subtended arcs, so that students can move between the two measures fluidly. Later, transformations of trig functions typically a difficult subject for students is studied by focusing on the arguments of functions and by invoking function composition.

This example is typical of the book's healthy tendency to incorporate old concepts into new, but it also avoids the common trap of presenting transformations in purely geometric terms, whereby students come to understand a graphs as a "shape" and not the trace of a relationship.

This book's approach instead encourages a "process view" of functions by attending to the relationship between input and output, and how that relationship changes when two functions are composed. This book is not perfect. I would like a greater emphasis to be placed on the covariation between input and output of trig functions, particularly when it comes to the graphs of the sine and cosine and how the shapes of those graphs are determined by the ways in which input and output change together.

But overall, this book does a better job of presenting trigonometry to students than most books I've seen, whether open or retail. Other than conic sections, the text covers everything that is typically included in a first trigonometry course. However, the Comprehensiveness rating: 5 see less.

However, the comprehensiveness of this text exceeds other texts in many important ways. Trigonometric concepts are developed in a very thorough, patient and coherent manner that most certainly speaks to students, while developing their mathematical understanding and analytical thinking. It takes the time to engage the reader in the thought process using links to well developed and integrated diagrams, Geogrebra applets, worksheets, and YouTube screencast videos developed by Grand Valley State University.

The beginning review activities, focus questions, progress checks, and sections summaries provide direction and support active and deep learning. Answers and hints to selected exercise and geometric facts about circles and triangles are included in the Appendices.

This text takes a very interesting reverse chronological approach to trigonometry. Trigonometric functions are introduced as circular functions and later as trigonometric functions. I am now convinced that this provides a more holistic perspective of trigonometry and better clarifies many concepts such as the dimensionless nature of radians. The textbook begins with the most relevant applications of trigonometry, but is not written in a manner that will require necessary updates.

If needed, it could be easily updated. The author's invite feedback, especially from students using the text. The text makes even the most complex of the trigonometric concepts clear and accessible to students. It develops concepts and the definitions of terminology so that students can both understand and remember them. It includes progress checks for students to check their understanding. Section summaries list important definitions and results proven in the section.

The disciplined and motivated student could learn trigonometry from this text on their own. Some students may need further clarification of the reading. The text is internally consistent in terms of terminology and framework. Each of the beginning activities reviews prior mathematical work necessary for the new section. The answers to these beginning activities are developed in the material later in the section.

Each section has progress checks with answers to these checks in Appendix A. Each section is summarized listing important definitions and results proven in the section. This text is best read from the beginning to the end to fully understand how ideas are developed. However, each chapter can stand on its own. Each reading section is fairly small and the text within each section is broken up into small chunks to keep the reader engaged, active, and interested.

This text is very organized, well structured, and flows very well. It is particularly strong in its clear and logical development of topics.

There is the right amount of rhythm and variety to keep the reader engaged. It uses language that is more conversational and approachable than most mathematical texts. There were a few links to figures that did not seems to take me exactly to the figure, but at least close to them.