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## Overview

Larson's ALGEBRA AND TRIGONOMETRY is ideal for a two-term course and known for delivering sound, consistently structured explanations and carefully written exercises of the mathematical concepts. With the Ninth Edition, the author continues to revolutionize the way students learn material by incorporating more real-world applications, on-going review and innovative technology. How Do You See It? exercises give students practice applying the concepts, and new Summarize features, Checkpoint problems and a Companion Website reinforce understanding of the skill sets to help students better prepare for tests. Enhanced WebAssign features fully-integrated content from the text, with the addition of End-of-Section problems and Chapter Tests, as well as problem-specific videos, animations and lecture videos.

- Fresh Chapter Openers highlight real-life problems that connect to the examples and exercises presenting in the following chapter.
- Innovative Summarize Features help students organize the lesson's key concepts into a concise summary, providing a valuable study tool at the end of each section.
- Unprecedented How Do You See It? Exercises in every section present real-life problems that students solve by visual inspection using the concepts in the lesson.
- Original Checkpoint Problems encourage immediate practice and check students' understanding of the concepts in the paired example.
- New Series Companion Website features chapter projects, data tables, assessments, study tools, video solutions and more to support students outside the text.
- Enhanced Exercise Sets deliver more rigor, relevancy and coverage than ever before and feature multi-step, real-life exercises to reinforce problem-solving skills and mastery of concepts
- Expanded Section Objectives offer students the opportunity to preview what will be presented in the upcoming section.
- Enriched Remarks reinforce or expand upon concepts helping students learn how to study mathematics, avoid common errors, address special cases, or show alternative or additional steps to a solution of an example.
- Up-to-the-minute student support through CalcChat.com, an independent website, provides students with free solutions to all odd-numbered problems in the text.

- Side-By-Side Examples help students not only see that a problem can be solved in more than one way but how different methods—algebraically, graphically, and numerically—yield the same result. The side-by-side format also addresses many different learning styles.
- Algebra Helps direct students to sections of the textbook where they can review algebra skills needed to master the current topic.
- Technology Features offer suggestions for effectively using tools such as calculators, graphing calculators, and spreadsheet programs to deepen student understanding of concepts, ease lengthy calculations, and provide alternate solution methods for verifying answers obtained by hand.
- Historical Notes provide helpful information regarding basic mathematical foundations.
- Algebra of Calculus Examples and Exercises throughout the text emphasize various algebraic techniques used in calculus.
- Vocabulary Exercises at the beginning of the exercise set for each section help students review previously learned vocabulary terms necessary to solve the section exercises.
- Student Projects in various sections and online feature in-depth applied exercises with large, real-life data sets, where students create or analyze models.
- Chapter Summaries include explanations and examples of the objectives taught in the chapter.
- Larson ALGEBRA AND TRIGONOMETRY is ideal for a two-semester course.

Review of Real Numbers and Their Properties. Exponents and Radicals. Polynomials and Special Products. Factoring Polynomials. Rational Expressions. The Rectangular Coordinate System and Graphs. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.

1. EQUATIONS, INEQUALITIES, AND MATHEMATICAL MODELING.

Graphs of Equations. Linear Equations in One Variable. Modeling with Linear Equations. Quadratic Equations and Applications. Complex Numbers. Other Types of Equations. Linear Inequalities in One Variable. Other Types of Inequalities. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.

2. FUNCTIONS AND THEIR GRAPHS.

Linear Equations in Two Variables. Functions. Analyzing Graphs of Functions. A Library of Parent Functions. Transformations of Functions. Combinations of Functions: Composite Functions. Inverse Functions. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test for Chapters P-2. Proofs in Mathematics. P.S. Problem Solving.

3. POLYNOMIAL FUNCTIONS.

Quadratic Functions and Models. Polynomial Functions of Higher Degree. Polynomial and Synthetic Division. Zeros of Polynomial Functions. Mathematical Modeling and Variation. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.

4. RATIONAL FUNCTIONS AND CONICS.

Rational Functions and Asymptotes. Graphs of Rational Functions. Conics. Translations of Conics. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.

5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.

Exponential Functions and Their Graphs. Logarithmic Functions and Their Graphs. Properties of Logarithms. Exponential and Logarithmic Equations. Exponential and Logarithmic Models. Chapter Summary.

Review Exercises. Chapter Test. Cumulative Test for Chapters 3-5. Proofs in Mathematics. P.S. Problem Solving.

6. TRIGONOMETRY.

Angles and Their Measure. Right Triangle Trigonometry. Trigonometric Functions of Any Angle. Graphs of Sine and Cosine Functions. Graphs of Other Trigonometric Functions. Inverse Trigonometric Functions. Applications and Models. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.

7. ANALYTIC TRIGONOMETRY.

Using Fundamental Identities. Verifying Trigonometric Identities. Solving Trigonometric Equations. Sum and Difference Formulas. Multiple-Angle and Product-to-Sum Formulas. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.

8. ADDITIONAL TOPICS IN TRIGONOMETRY.

Law of Sines. Law of Cosines. Vectors in the Plane. Vectors and Dot Products. Trigonometric Form of a Complex Number. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test for Chapters 6-8. Proofs in Mathematics. P.S. Problem Solving.

9. SYSTEMS OF EQUATIONS AND INEQUALITIES.

Linear and Nonlinear Systems of Equations. Two-Variable Linear Systems. Multivariable Linear Systems. Partial Fractions. Systems of Inequalities. Linear Programming. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.

10. MATRICES AND DETERMINANTS.

Matrices and Systems of Equations. Operations with Matrices. The Inverse of a Square Matrix. The Determinant of a Square Matrix. Applications of Matrices and Determinants. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.

11. SEQUENCES, SERIES, AND PROBABILITY.

Sequences and Series. Arithmetic Sequences and Partial Sums. Geometric Sequences and Series. Mathematical Induction. The Binomial Theorem. Counting Principles. Probability. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test for Chapters 9-11. Proofs in Mathematics. P.S. Problem Solving.

APPENDIX A: Errors and the Algebra of Calculus.

APPENDIX B: Concepts in Statistics (web).

Representing Data. Measures of Central Tendency and Dispersion. Least Squares Regression.

Cengage provides a range of supplements that are updated in coordination with the main title selection. For more information about these supplements, contact your Learning Consultant.

### FOR INSTRUCTORS

#### PowerPoint® with Image Library Slides on Instructor's Website

ISBN: 9781337279758

Microsoft® PowerPoint® slides and image library for the entire book, posted on the Instructor Companion Website, let you incorporate images from the book right into your lectures. Available via the Instructor Resource Site.

#### Complete Solutions Manual with Instructor's Website

ISBN: 9781337279772

This time-saving manual provides complete solutions to all the exercises from the text, including Chapter Review Exercises and Chapter Tests.

#### Cengage Learning Testing, powered by Cognero® Instant Access

ISBN: 9781337279741

Cengage Learning Testing Powered by Cognero® is a flexible, online system that allows you to: import, edit, and manipulate content from the text's test bank or elsewhere, including your own favorite test questions; create multiple test versions in an instant; and deliver tests from your LMS, your classroom, or wherever you want. This is available online via www.cengage.com/login.

#### Study Guide with Student Solutions Manual

ISBN: 9781337279727

This guide offers step-by-step solutions for all odd-numbered text exercises, Chapter and Cumulative Tests, and Practice Tests with solutions, giving students a way to check their answers and ensure that they took the correct steps to arrive at an answer.

#### Note Taking Guide

ISBN: 9781337279734

This is an innovative study aid, in the form of a notebook organizer that helps students develop a section-by-section summary of key concepts.

#### Annotated Instructor's Edition

ISBN: 9781337279710

Instructor Sample/Review copy of Larson’s Algebra & Trigonometry, 10th Edition

### FOR STUDENTS

#### Study Guide with Student Solutions Manual

ISBN: 9781337279727

This guide offers step-by-step solutions for all odd-numbered text exercises, Chapter and Cumulative Tests, and Practice Tests with solutions, giving you a way to check your answers.

#### Note Taking Guide

ISBN: 9781337279734

This innovative study aid, in the form of a notebook organizer, helps you develop a section-by-section summary of key concepts.