☀️ SUMMER SALE! 40% off your first month of eTextbooks. Use code SUMMER40. Terms & Conditions

Secure Checkout

Precalculus: Concepts Through Functions, A Right Triangle Approach to Trigonometry, 5th edition

  • Michael Sullivan, 
  • Michael Sullivan

Your access includes:

  • Search, highlight, notes, and more
  • Easily create flashcards
  • Use the app for access anywhere
  • 14-day refund guarantee

$10.99per month

Minimum 4-month term, pay monthly or pay $43.96 upfront

Looking for your MyLab or Mastering eTextbook? Find it hereOpens in an new tab

Learn more, spend less

  • Watch and learn

    Videos & animations bring concepts to life

  • Find it fast

    Quickly navigate your eTextbook with search

  • Stay organized

    Access all your eTextbooks in one place

  • Easily continue access

    Keep learning with auto-renew

Overview

Precalculus: Concepts Through Functions, A Right Triangle Approach to Trigonometry introduces functions at the beginning of the text, then introduces and develops a new function in every chapter. Known for connecting with students, esteemed authors Sullivan and Sullivan focus on the fundamentals (preparing for class, practicing with homework, and reviewing key concepts), which encourages you to master basic skills and develop the conceptual understanding needed for this and future courses. Graphing utility coverage is optional and can be adjusted for different course needs. The 5th Edition offers abundant new and updated features including new Challenge Problems, new Interactive Figure Exercises, and much more.

Published by Pearson (November 20th 2023) - Copyright © 2024

ISBN-13: 9780137979462

Subject: Precalculus, College Algebra & Trigonometry

Category: Precalculus

Overview

Applications Index

F. Foundations: A Prelude to Functions

  • F.1 The Distance and Midpoint Formulas
  • F.2 Graphs of Equations in Two Variables; Intercepts; Symmetry
  • F.3 Lines
  • F.4 Circles
  • Chapter Project

1. Functions and Their Graphs

  • 1.1 Functions
  • 1.2 The Graph of a Function
  • 1.3 Properties of Functions
  • 1.4 Library of Functions; Piecewise-defined Functions
  • 1.5 Graphing Techniques: Transformations
  • 1.6 Building Mathematical Models from Verbal Descriptions
  • 1.7 Building Mathematical Models Using Variation
  • Chapter Review
  • Chapter Test
  • Chapter Projects

2. Linear and Quadratic Functions

  • 2.1 Properties of Linear Functions and Linear Models
  • 2.2 Building Linear Models from Data
  • 2.3 Quadratic Functions and Their Zeros
  • 2.4 Properties of Quadratic Functions
  • 2.5 Inequalities Involving Quadratic Functions
  • 2.6 Building Quadratic Models from Verbal Descriptions and from Data
  • 2.7 Complex Zeros of a Quadratic Function
  • 2.8 Equations and Inequalities Involving the Absolute Value Function
  • Chapter Review
  • Chapter Test
  • Cumulative Review
  • Chapter Projects

3. Polynomial and Rational Functions

  • 3.1 Polynomial Functions
  • 3.2 Graphing Polynomial Functions; Models
  • 3.3 The Real Zeros of a Polynomial Function
  • 3.4 Complex Zeros; Fundamental Theorem of Algebra
  • 3.5 Properties of Rational Functions
  • 3.6 The Graph of a Rational Function
  • 3.7 Polynomial and Rational Inequalities
  • Chapter Review
  • Chapter Test
  • Cumulative Review
  • Chapter Projects

4. Exponential and Logarithmic Functions

  • 4.1 Composite Functions
  • 4.2 One-to-One Functions; Inverse Functions
  • 4.3 Exponential Functions
  • 4.4 Logarithmic Functions
  • 4.5 Properties of Logarithms
  • 4.6 Logarithmic and Exponential Equations
  • 4.7 Financial Models
  • 4.8 Exponential Growth and Decay; Newton's Law; Logistic Growth and Decay Models
  • 4.9 Building Exponential, Logarithmic, and Logistic Models from Data
  • Chapter Review
  • Chapter Test
  • Cumulative Review
  • Chapter Projects

5. Trigonometric Functions

  • 5.1 Angles, Arc Length, and Circular Motion
  • 5.2 Right Triangle Trigonometry
  • 5.3 Computing the Values of Trigonometric Functions of Acute Angles
  • 5.4 Trigonometric Functions of Any Angle
  • 5.5 Unit Circle Approach; Properties of the Trigonometric Functions
  • 5.6 Graphs of the Sine and Cosine Functions
  • 5.7 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
  • 5.8 Phase Shift; Sinusoidal Curve Fitting
  • Chapter Review
  • Chapter Test
  • Cumulative Review
  • Chapter Projects

6. Analytic Trigonometry

  • 6.1 The Inverse Sine, Cosine, and Tangent Functions
  • 6.2 The Inverse Trigonometric Functions (Continued)
  • 6.3 Trigonometric Equations
  • 6.4 Trigonometric Identities
  • 6.5 Sum and Difference Formulas
  • 6.6 Double-angle and Half-angle Formulas
  • 6.7 Product-to-Sum and Sum-to-Product Formulas
  • Chapter Review
  • Chapter Test
  • Cumulative Review
  • Chapter Projects

7. Applications of Trigonometric Functions

  • 7.1 Applications Involving Right Triangles
  • 7.2 The Law of Sines
  • 7.3 The Law of Cosines
  • 7.4 Area of a Triangle
  • 7.5 Simple Harmonic Motion; Damped Motion; Combining Waves
  • Chapter Review
  • Chapter Test
  • Cumulative Review
  • Chapter Projects

8. Polar Coordinates; Vectors

  • 8.1 Polar Coordinates
  • 8.2 Polar Equations and Graphs
  • 8.3 The Complex Plane; DeMoivre's Theorem
  • 8.4 Vectors
  • 8.5 The Dot Product
  • 8.6 Vectors in Space
  • 8.7 The Cross Product
  • Chapter Review
  • Chapter Test
  • Cumulative Review
  • Chapter Projects

9. Analytic Geometry

  • 9.1 Conics
  • 9.2 The Parabola
  • 9.3 The Ellipse
  • 9.4 The Hyperbola
  • 9.5 Rotation of Axes; General Form of a Conic
  • 9.6 Polar Equations of Conics
  • 9.7 Plane Curves and Parametric Equations
  • Chapter Review
  • Chapter Test
  • Cumulative Review
  • Chapter Projects

10. Systems of Equations and Inequalities

  • 10.1 Systems of Linear Equations: Substitution and Elimination
  • 10.2 Systems of Linear Equations: Matrices
  • 10.3 Systems of Linear Equations: Determinants
  • 10.4 Matrix Algebra
  • 10.5 Partial Fraction Decomposition
  • 10.6 Systems of Nonlinear Equations
  • 10.7 Systems of Inequalities
  • 10.8 Linear Programming
  • Chapter Review
  • Chapter Test
  • Cumulative Review
  • Chapter Projects

11. Sequences; Induction; the Binomial Theorem

  • 11.1 Sequences
  • 11.2 Arithmetic Sequences
  • 11.3 Geometric Sequences; Geometric Series
  • 11.4 Mathematical Induction
  • 11.5 The Binomial Theorem
  • Chapter Review
  • Chapter Test
  • Cumulative Review
  • Chapter Projects

12. Counting and Probability

  • 12.1 Counting
  • 12.2 Permutations and Combinations
  • 12.3 Probability
  • Chapter Review
  • Chapter Test
  • Cumulative Review
  • Chapter Projects

13. A Preview of Calculus: The Limit, Derivative, and Integral of a Function

  • 13.1 Investigating Limits Using Tables and Graphs
  • 13.2 Algebra Techniques for Finding Limits
  • 13.3 One-sided Limits; Continuity
  • 13.4 The Tangent Problem; The Derivative
  • 13.5 The Area Problem; The Integral
  • Chapter Review
  • Chapter Test
  • Chapter Projects

Appendix A. Review

  • A.1 Algebra Essentials
  • A.2 Geometry Essentials
  • A.3 Polynomials
  • A.4 Factoring Polynomials
  • A.5 Synthetic Division
  • A.6 Rational Expressions
  • A.7 nth Roots; Rational Exponents
  • A.8 Solving Equations
  • A.9 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Jobs
  • A.10 Interval Notation; Solving Inequalities
  • A.11 Complex Numbers

Appendix B. Graphing Utilities

  • B.1 The Viewing Rectangle
  • B.2 Using a Graphing Utility to Graph Equations
  • B.3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry
  • B.4 Using a Graphing Utility to Solve Equations
  • B.5 Square Screens
  • B.6 Using a Graphing Utility to Graph Inequalities
  • B.7 Using a Graphing Utility to Solve Systems of Linear Equations
  • B.8 Using a Graphing Utility to Graph a Polar Equation
  • B.9 Using a Graphing Utility to Graph Parametric Equations
Answers
Index

Your questions answered

Pearson+ is your 1-stop shop with eTextbooks, study tools and exam prep features designed to help students get better grades in college. eTextbooks come with built-in tools that simplify studying, like flashcards, audiobook and search. Pearson+ also features Channels, which includes practice problems, study guides, Q&A with experts, video lessons that help you understand tricky topics and more—all in one place. Channels can be purchased separately or added on to your eTextbook at the time of purchase as part of the Study & Exam Prep Pack.

A Pearson eTextbook is an easy-to-use digital version of your book for class that includes upgraded study tools to help you learn how you learn best. Use enhanced search to find what you need within your eTextbook, highlight and make notes to mark important info, generate flashcards to test your knowledge, and use audio to listen to the text. Every feature is designed to help you learn more efficiently and get results. Plus, you can learn on the go with the Pearson+ app. Find this and more in your eTextbook, available in Pearson+.

The Study & Exam Prep Pack includes practice problems, study guides, Q&A with experts, Channels video lessons that help you understand tricky topics and more. It can be added on to your eTextbook or your MyLab and Mastering learning platform at the time of purchase.

Your eTextbook subscription gives you access for 4 months. You can make a one‑time payment for the initial 4‑month term or pay monthly. If you opt for monthly payments, we will charge your payment method each month until your 4‑month term ends. You can turn on auto‑renew in My account at any time to continue your subscription before your 4‑month term ends.

When you purchase an eTextbook subscription, it will last 4 months. You can renew your subscription by selecting Extend subscription on the Manage subscription page in My account before your initial term ends.

If you extend your subscription, we'll automatically charge you every month. If you made a one‑time payment for your initial 4‑month term, you'll now pay monthly. To make sure your learning is uninterrupted, please check your card details.

To avoid the next payment charge, select Cancel subscription on the Manage subscription page in My account before the renewal date. You can subscribe again in the future by purchasing another eTextbook subscription.

Channels is a video platform with thousands of explanations, solutions and practice problems to help you do homework and prep for exams. Videos are personalized to your course, and tutors walk you through solutions. Plus, interactive AI‑powered summaries and a social community help you better understand lessons from class.

Channels is an additional tool to help you with your studies. This means you can use Channels even if your course uses a non‑Pearson textbook.

When you choose a Channels subscription, you're signing up for a 1‑month, 3‑month or 12‑month term and you make an upfront payment for your subscription. By default, these subscriptions auto‑renew at the frequency you select during checkout.

When you purchase a Channels subscription it will last 1 month, 3 months or 12 months, depending on the plan you chose. Your subscription will automatically renew at the end of your term unless you cancel it.

We use your credit card to renew your subscription automatically. To make sure your learning is uninterrupted, please check your card details.