Summary: Ideal for instructors who teach a precalculus level course and wish to include a comprehensive review of algebra at the beginning, this text introduces trigonometry first with a right triangle approach and then with the unit circle. As the best-selling text in the field, Algebra and Trigonometry provides unparalleled exercises, motivating real-life applications, a supportive pedagogical design, and innovative ancillaries and resources, making it a complete solution f...show moreor both students and instructors.
New! Model It real-life applications in nearly every text section are multi-part exercises that require students to generate and analyze mathematical models. First referenced in the Why You Should Learn It at the beginning of each section, these interesting applications illustrate why it is important to learn the concepts in each section.
New! Enlarged printable graphs in many exercise sets contain problems asking students to draw on the graph provided. Because this is not feasible in the actual text, printable enlargements of these graphs are available on the web site www.mathgraphs.com.
New! Proofs in Mathematics shows the proofs of selected theorems and demonstrates different proof techniques. For added convenience, in the Sixth Edition these proofs have been moved from an appendix to the end of relevant chapters.
New! P.S. Problem Solving, at the conclusion of each chapter, features a collection of thought-provoking and challenging exercises that further explore and expand upon the concepts of the chapter. These exercises have unique characteristics that set them apart from traditional algebra and trigonometry exercises.
New! A wealth of student success tools includes How to Study This Chapter, a chapter-opening study guide that includes What you should learn (section-opening objectives), Important Vocabulary, a list of Study Tools, and a list of Additional Resources to help the student prepare for the chapter; Why you should learn it, a section-opening, real-life application or a reference to other branches of mathematics, illustrating the relevance of the section's content; and What did you learn?, a concise chapter summary organized by section. These objectives are correlated to the chapter Review Exercises to help students prepare for exams.
Abundant, up-to-date Real-Life Applications are integrated throughout the examples and exercises and identified by a globe icon to reinforce the relevance of the concepts being learned.
A wide variety of Exercises, including computational, conceptual, and applied problems are carefully graded in difficulty to allow students to gain confidence as they progress. Each exercise set includes Synthesis Exercises that promote further exploration of mathematical concepts, critical-thinking skills, and writing about mathematics, and Review Exercises that reinforce previously learned skills and concepts.
Special Algebra of Calculus examples and exercises highlight the algebraic techniques used in calculus to show students how the mathematics they are learning now will be used in future courses.
Optional graphing technology support is provided in marginal point-of-use instructions that encourage the use of graphing technology as a tool to visualize mathematical concepts, to verify other solution methods, and to facilitate computation. In addition, the section An Introduction to Graphing Utilities helps the student become familiar with the basic functionality of a graphing utility. The use of technology is optional in this text; all exercises that require the use of a graphing utility are clearly identified by an icon.
Explorations preceding the introduction of selected topics provide the opportunity to engage students in active discovery of mathematical concepts and relationships, often through the power of technology. Explorations strengthen students' critical- thinking skills and help develop an intuitive understanding of theoretical concepts.
All Examples have been carefully chosen to illustrate a particular mathematical concept or problem-solving skill. Every example contains step-by-step solutions, most with line-by-line explanations that lead students through the solution process, making it easy for students to understand the concepts being explained.
Additional carefully crafted learning tools designed to create a rich learning environment include Study Tips, Historical Notes, Writing about Mathematics, Chapter Review Exercises, Chapter Tests, and Cumulative Tests.
A clear, predictable layout, in which solutions and explanations begin and end on the same page, allows students to see concepts and solutions as a whole, without page-turning distractions.
P.1 Review of Real Numbers and Their Properties P.2 Exponents and Radicals P.3 Polynomials and Special Products P.4 Factoring P.5 Rational Expressions P.6 Errors and the Algebra of Calculus P.7 Graphical Representation of Data
1. Equations and Inequalities
1.1 Graphs of Equations 1.2 Linear Equations in One Variable 1.3 Modeling with Linear Equations 1.4 Quadratic Equations 1.5 Complex Numbers 1.6 Other Types of Equations 1.7 Linear Inequalities in One Variable 1.8 Other Types of Inequalities
2. Functions and Their Graphs
2.1 Linear Equations in Two Variables 2.2 Functions 2.3 Analyzing Graphs of Functions 2.4 A Library of Functions 2.5 Shifting, Reflecting, and Stretching Graphs 2.6 Combinations of Functions 2.7 Inverse Functions
3. Polynomial Functions
3.1 Quadratic Functions 3.2 Polynomial Functions of Higher Degree 3.3 Polynomial and Synthetic Division 3.4 Zeros of Polynomial Functions 3.5 Mathematical Modeling
4. Rational Functions and Conics
4.1 Rational Functions and Asymptotes 4.2 Graphs of Rational Functions 4.3 Partial Fractions 4.4 Conics 4.5 Translations of Conics
5. Exponential and Logarithmic Functions
5.1 Exponential Functions and Their Graphs 5.2 Logarithmic Functions and Their Graphs 5.3 Properties of Logarithms 5.4 Exponential and Logarithmic Equations 5.5 Exponential and Logarithmic Models
6.1 Angles and Their Measures 6.2 Right Triangle Trigonometry 6.3 Trigonometric Functions of Any Angle 6.4 Graphs of Sine and Cosine Functions 6.5 Graphs of Other Trigonometric Functions 6.6 Inverse Trigonometric Functions 6.7 Applications and Models
7. Analytic Trigonometry
7.1 Using Fundamental Identities 7.2 Verifying Trigonometric Identities 7.3 Solving Trigonometric Equations 7.4 Sum and Difference Formulas 7.5 Multiple-Angle and Product-to-Sum Formulas
8. Additional Topics in Trigonometry
8.1 Law of Sines 8.2 Law of Cosines 8.3 Vectors in the Plane 8.4 Vectors and Dot Products 8.5 Trigonometric Form of a Complex Number
9. Systems of Equations and Inequalities
9.1 Solving Systems of Equations 9.2 Two-Variable linear Systems 9.3 Multivariable Linear Systems 9.4 Systems of Inequalities 9.5 Linear Programming
10. Matrices and Determinants
10.1 Matrices and Systems of Equations 10.2 Operations with Matrices 10.3 The Inverse of a Square Matrix 10.4 The Determinant of a Square Matrix 10.5 Applications of Matrices and Determinants
11. Sequences, Series, and Probability
11.1 Sequences and Series 11.2 Arithmetic Sequences and Partial Sums 11.3 Geometric Sequences and Series 11.4 Mathematical Induction 11.5 The Binomial Theorem 11.6 Counting Principles 11.7 Probability
Ships same day or next business day! UPS expedited shipping available (Priority Mail for AK/HI/APO/PO Boxes). Used sticker & some writing and/or highlighting. Used books may not include working access...show more code or dust jacket ...show less
Free Shipping Get Free Shipping on orders over $25 (not including Rental and Marketplace). Order arrives in 5-10 business days.
Need it faster? We offer fast, flat-rate expedited shipping options.
Not the right book for you? We'll gladly take it back within 30 days.
To return an eTextbook:
Your eTextbook is non-returnable once it's been activated. You must contact us about returning your eTextbook before you activate it.
Returns are accepted within 30 days of the purchase date on your order confirmation.
This book qualifies for guaranteed cash back! Buy it now for , then:
Sell it back by:
Guaranteed cash back:
Cost of this book after cash back:
Take advantage of Guaranteed Cash Back. Send your book to us in good condition before the end of the buyback period, we'll send YOU a check, and you'll pay less for your textbooks!
If you find this book for less on Amazon.com (direct from Amazon, not marketplace sellers), we'll match it.
In our warehouse, waiting to ship directly to you.
We hand-inspect every used textbook to make sure it's in good condition.
Buy it now. Sell it later!
Sell this textbook for cash!
When you're done with this book, sell it back to Textbooks.com. In addition to the best possible buyback price, you'll get an extra 10% cash back just for being a customer.
We buy good-condition used textbooks year 'round, 24/7. No matter where you bought it, Textbooks.com will buy your textbooks for the most cash.
We hand-inspect every one of our used textbooks to ensure good condition.
Our used textbooks do NOT have:
Missing or torn pages
Missing or torn cover
Torn or damaged binding
A broken spine
This textbook has never been used.
Due to the size of eTextbooks, a high-speed internet connection (cable modem, DSL, LAN) is required for download stability and speed. Your connection can be wired or wireless.
Being online is not required for reading an eTextbook after successfully downloading it. You must only be connected to the Internet duringthe download process.
Windows XP, Windows Vista or Mac OS X 10.3 or above
At least 280 MB RAM, a 600 mHZ processor and 110 MB of hard drive space
1024x768 (or larger) screen resolution
What is the Marketplace? It's another way for you to get the right price on the books you need. We approved every Marketplace vendor to sell their books on Textbooks.com, so you know they're all reliable.
What are Marketplace shipping options? Marketplace items do not qualify for free shipping. When ordering from the Marketplace, please specify whether you want the seller to send your book Standard ($3.99/item) or Express ($6.99/item). To get free shipping over $25, just order directly from Textbooks.com instead of through the Marketplace.
FREE UPS 2nd Day Air Terms
Rental and Marketplace items are excluded. Offer is valid from 1/21/2013 12:00PM to 1/23/2013 11:59AM CST. Your order must be placed by 12 Noon CST to be processed on the same day. Minimum order value is $100.00 excluding Rental and Marketplace items. To redeem this offer, select "FREE UPS 2ND DAY AIR" at checkout. Offer not is not valid on previous orders.