College Algebra and Trigonometry, 7th Edition © 2021

College Algebra and Trigonometry, published by Pearson, reviews algebra before moving on to trigonometric functions, identities, equations, and additional concepts. Revisions to the course target student learning to improve performance in this class and beyond.

  • Expanded Review chapter
  • Integrated Review available on MyMathLab® for School from Pearson
  • Flexible pedagogy
  • Personalized learning for learner empowerment
  • Enhanced readability and legibility

Algebra and Trigonometry Course with Digital Resources

Connect algebra and trigonometry to a range of disciplines and real-world applications with an engaging curriculum.

Critical Algebra Catch-up

Chapter R allows teachers to review challenging algebra concepts at the beginning of class or at critical moments during the course.


Quick Feedback on Understanding

Now Try Exercises help determine whether students understood the concepts illustrated in an example.

Real-Life Applicability

Hundreds of real-life applications have been included from fields such as business, entertainment, sports, biology, astronomy, geology, and the environment.


Support for Practicing Concepts

Extensive exercise sets provide ample opportunity for practice and increase in difficulty so students at every level of understanding are challenged.

College Algebra and Trigonometry Teaching Solutions

  • Enhanced Sample Assignments
  • Learner Empowerment
  • Updated Video Program
  • Support for Learning Concepts
  • Support for Review and Test Preparation
  • Set-up Assistance
    Author Callie Daniels makes MyMathLab for School course set-up easier by giving instructors a starting point for each section. Daniels offers tips to bring out the best in student performance.
  • Example Videos
    Prep Assignments include Example Videos with assessment questions. This assignment pairs with MyNotes. Students actively participate while taking notes from the Example Video and then work the related exercise.
  • Section Homework
    Section Homework includes author-selected problems and increases in difficulty.
  • Cumulative Review Quizzes
    Cumulative Review Quizzes draw from section homework questions covered to that point in the course. They help students feel prepared for a final exam at any point.
  • Personalized Learning
    Personalizable learning pinpoints the exact area where each student needs practice and offers support when and where they need it.
  • Integrated Review
    Integrated Review provides a full suite of supporting resources for the main course content plus additional assignments and study aids for students who will benefit from remediation.
  • Personal Inventory Assessments
    33 Personal Inventory Assessments promote self-reflection and engagement in students. Topics include Stress Management, Diagnosing Poor Performance, Enhancing Motivation, and Time Management.
  • MyNotes
    MyNotes offer structure for students as they watch videos or read the text. Textbook examples include ample space for students to read, write, and reflect on what they have learned. Teachers can customize or remove examples to align with the course.
  • Quick Reviews
    Quick Reviews cover Key Definitions through the detailed solution process for every example in the textbook.
  • Detailed Solution Process
    Example solutions walk students through the detailed solution process for every example in the textbook.
  • Essential College Algebra Video Series
    The Essential College Algebra Video Series covers the topics students need to master to be successful in the course. Interactive questions are embedded throughout to allow students to stop and think about the next step. Available online worksheets guide students through the material.
  • Exercise Variety
    The variety of exercise types promotes conceptual understanding and reduces rote memorization.
  • Concept Previews
    Concept Preview Exercises begin each homework section to ensure students’ understanding of vocabulary and basic concepts. They can be assigned through MyMathLab for School and Learning Catalytics.
  • Concept Checks
    Concept Check exercises focus on mathematical thinking and conceptual understanding.
  • Relating Concepts
    Relating Concepts exercises help students connect topics and develop problem-solving skills as they compare and contrast ideas, identify and describe patterns, and extend concepts to new situations.
  • Example Pointers
    Pointers in the examples provide on-the-spot reminders and warnings about common pitfalls. Examples offer additional side comments where appropriate in the step-by-step solutions.
  • Quizzes
    Quizzes appear periodically throughout the chapter for students to check their progress. Answers are located in the student answer section at the back of the text.
  • Summary Exercises
    Summary exercises offer mixed review, requiring students to decide which methods covered in the chapter should apply to a particular problem.
  • Cumulative Review Assignments
    Cumulative review assignments, drawn from Callie Daniels’ best practices, are available to assign in MyMathLab for School for each chapter.
  • Chapter Reviews and Test Prep
    Chapter Reviews and Test Prep conclude each chapter. They feature an extensive Summary with a section-by-section list of Key Terms and New Symbols. A Quick Review of important concepts are presented alongside corresponding Examples. A comprehensive set of Review Exercises precedes a Chapter Test that covers all the skills and concepts.

Empower Your Math Students with the MyMathLab® Platform from Pearson


MyMathLab® for School from Pearson provides an eText, adaptive learning, and flexible course designs, plus other features to empower students.

More About College Algebra and Trigonometry

  • Marge Lial Author Bio
    Marge Lial (late) was always interested in math; it was her favorite subject in the first grade! Marge's intense desire to educate both her students and herself has inspired the writing of numerous best-selling textbooks. Marge, who received Bachelor's and Master's degrees from California State University at Sacramento, was affiliated with American River College. An avid reader and traveler, her travel experiences often found their way into her books as applications, exercise sets, and feature sets. Her interest in archeology led to trips to various digs and ruin sites, producing some fascinating problems for her textbooks involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan.
  • John Hornsby Author Bio
    When John Hornsby enrolled as an undergraduate at Louisiana State University, he was uncertain whether he wanted to study mathematics education or journalism. His ultimate decision was to become a teacher, but after twenty-five years of teaching at the high school and university levels and fifteen years of writing mathematics textbooks, both of his goals have been realized. His love for both teaching and for mathematics is evident in his passion for working with students and fellow teachers as well. His specific professional interests are recreational mathematics, mathematics history, and incorporating graphing calculators into the curriculum. John's personal life is busy as he devotes time to his family (wife Gwen, and sons Chris, Jack, and Josh), and has been an avid baseball fan all of his life. John's other hobbies include numismatics (the study of coins) and record collecting. He loves the music of the 1960s and has an extensive collection of the recorded works of Frankie Valli and the Four Seasons.
  • Terry McGinnis Author Bio
    A native Midwesterner, Terry McGinnis received her Bachelor’s of Science in Elementary Education with a concentration in Mathematics from Iowa State University. She has taught elementary and middle school mathematics, and developed and implemented the curriculum used with her students. Terry has been involved in college mathematics publishing for over 20 years, working with a variety of authors on textbooks in both developmental mathematics and precalculus. After working behind the scenes on many of the Lial/Hornsby textbooks and supplements for over 10 years, Terry joined Margaret Lial and John Hornsby in 2002 as coauthor of their developmental mathematics series. When not working, Terry enjoys spinning at a local health club, walking, and reading fiction. She is the devoted mother of two sons, Andrew and Tyler.
  • Callie Daniels Author Bio
    Callie Daniels has always had a passion for learning mathematics and brings that passion into the classroom with her students. She attended the University of the Ozarks where she earned a bachelor’s degree in Secondary Mathematics Education. She has two master’s degrees: one in Applied Mathematics and Statistics from the University of Missouri–Rolla, the second in Adult Education from the University of Missouri–St. Louis. Her professional interests include improving success in the community college mathematics sequence, using technology to enhance students’ understanding of mathematics, and creating materials that support classroom teaching and student understanding. She is able to pursue these interests as a contributor on the Lial Developmental Math series, and a co-author on the Precalculus series.
  • Table of Contents

    Resources for Success

    R. Algebra Review
    R.1 Basic Concepts from Algebra
    R.2 Real Number Operations and Properties
    R.3 Exponents, Polynomials, and Factoring
    R.4 Rational Expressions
    R.5 Radical Expressions
    R.6 Equations and Inequalities
    R. 7 Rectangular Coordinates and Graphs
    R.8 Functions
    R.9 Graphing Techniques

    1. Trigonometric Functions
    1-1 Angles
    1-2 Angle Relationships and Similar Triangles
    1-3 Trigonometric Functions
    1-4 Using the Definitions of the Trigonometric Functions
    Test Prep
    Review Exercises

    2. Acute Angles and Right Triangles
    2-1 Trigonometric Functions of Acute Angles
    2-2 Trigonometric Functions of Non-Acute Angles
    2-3 Approximations of Trigonometric Function Values
    2-4 Solutions and Applications of Right Triangles
    2-5 Further Applications of Right Triangles
    Test Prep
    Review Exercises

    3. Radian Measure and the Unit Circle
    3-1 Radian Measure
    3-2 Applications of Radian Measure
    3-3 The Unit Circle and Circular Functions
    3-4 Linear and Angular Speed
    Test Prep
    Review Exercises

    4. Graphs of the Circular Functions
    4-1 Graphs of the Sine and Cosine Functions
    4-2 Translations of the Graphs of Sine and Cosine Functions
    4-3 Graphs of the Tangent and Cotangent Functions
    4-4 Graphs of the Secant and Cosecant Functions
    4-5 Harmonic Motion
    Test Prep
    Review Exercises

    5. Trigonometric Identities
    5-1 Fundamental Identities
    5-2 Verifying Trigonometric Identities
    5-3 Sum and Difference Identities for Cosine
    5-4 Sum and Difference Identities for Sine and Tangent
    5-5 Double-Angle Identities
    5-6 Half-Angle Identities
    Test Prep
    Review Exercises

    6. Inverse Circular Functions and Trigonometric Equations
    6-1 Inverse Circular Functions
    6-2 Trigonometric Equations I
    6-3 Trigonometric Equations II
    6-4 Equations Involving Inverse Trigonometric Functions
    Test Prep
    Review Exercises

    7. Applications of Trigonometry and Vectors
    7-1 Oblique Triangles and the Law of Sines
    7-2 The Ambiguous Case of the Law of Sines
    7-3 The Law of Cosines
    7-4 Geometrically Defined Vectors and Applications
    7-5 Algebraically Defined Vectors and the Dot Product
    Test Prep
    Review Exercises

    8. Complex Numbers, Polar Equations, and Parametric Equations
    8-1 Complex Numbers
    8-2 Trigonometric (Polar) Form of Complex Numbers
    8-3 The Product and Quotient Theorems
    8-4 De Moivre’s Theorem
    8-5 Polar Equations and Graphs
    8-6 Parametric Equations, Graphs, and Applications
    Test Prep
    Review Exercises

    Answers to Selected Exercises

    Photo Credits


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