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Algebra & Trigonometry, 4th edition

Published by Pearson (February 22, 2024) © 2025

  • Kirk Trigsted University of Idaho
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ISBN-13: 9780138062798
Algebra & Trigonometry with Interactive Assignments
Published 2024

eTextbook features

  • Instant access to eTextbook
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Algebra & Trigonometry with Interactive Assignments provides the step-by-step guidance you need to succeed throughout your course, both in and out of class. The author has pioneered a unique customizable learning environment that carefully blends videos, text, interactive figures, interactive assignments and other resources to build your mathematical confidence and capability.

The completely digital 4th Edition immerses users in new, MyLab®-based Interactive Assignments that encourage active learning and participation. Additional revision features include new GeoGebra Graphing Exercises, a new standalone eTextbook, new Concept Check exercises, and much more.

R. Review Chapter

  • R.1 Real Numbers
  • R.2 A Review of Fractions and the Order of Operations
  • R.3 The Properties of Integer Exponents
  • R.4 Radicals and Rational Exponents
  • R.5 Polynomials
  • R.6 Operations with Radicals
  • R.7 Factoring Polynomials
  • R.8 Rational Expressions
  • R.9 The Addition and Multiplication Properties of Equality
  • Chapter Summary

1. Equations, Inequalities, and Applications

  • 1.1 Linear and Rational Equations
  • 1.2 Applications of Linear Equations and Rational Equations
  • 1.3 Complex Numbers
  • 1.4 Quadratic Equations
  • 1.5 Applications of Quadratic Equations
  • 1.6 Other Types of Equations
  • 1.7 Linear Inequalities in One Variable
  • 1.8 Absolute Value Equations and Inequalities
  • 1.9 Polynomial and Rational Inequalities
  • Chapter Summary

2. The Rectangular Coordinate System, Lines, and Circles

  • 2.1 The Rectangular Coordinate System
  • 2.2 Circles
  • 2.3 Lines
  • 2.4 Parallel and Perpendicular Lines
  • Chapter Summary

3. Functions

  • 3.1 Relations and Functions
  • 3.2 Properties of a Function's Graph
  • 3.3 Graphs of Basic Functions; Piecewise Functions
  • 3.4 Transformations of Functions
  • 3.5 The Algebra of Functions; Composite Functions
  • 3.6 One-to-One Functions; Inverse Functions
  • Chapter Summary

4. Polynomial and Rational Functions

  • 4.1 Quadratic Functions
  • 4.2 Applications and Modeling of Quadratic Functions
  • 4.3 The Graphs of Polynomial Functions
  • 4.4 Synthetic Division; The Remainder and Factor Theorems
  • 4.5 The Zeros of Polynomial Functions; The Fundamental Theorem of Algebra
  • 4.6 Rational Functions and Their Graphs
  • 4.7 Variation
  • Chapter Summary

5. Exponential and Logarithmic Functions and Equations

  • 5.1 Exponential Functions
  • 5.2 Logarithmic Functions
  • 5.3 Properties of Logarithms
  • 5.4 Exponential and Logarithmic Equations
  • 5.5 Applications of Exponential and Logarithmic Functions
  • Chapter Summary

6. An Introduction to Trigonometric Functions

  • 6.1 An Introduction to Angles: Degree and Radian Measure
  • 6.2 Applications of Radian Measure
  • 6.3 Triangles
  • 6.4 Right Triangle Trigonometry
  • 6.5 Trigonometric Functions of General Angles
  • 6.6 The Unit Circle
  • Chapter Summary

7. The Graphs of Trigonometric Functions

  • 7.1 The Graphs of Sine and Cosine
  • 7.2 More on Graphs of Sine and Cosine; Phase Shift
  • 7.3 The Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
  • 7.4 Inverse Trigonometric Functions I
  • 7.5 Inverse Trigonometric Functions II
  • Chapter Summary

8. Trigonometric Identities, Formulas, and Equations

  • 8.1 Trigonometric Identities
  • 8.2 The Sum and Difference Formulas
  • 8.3 The Double-Angle and Half-Angle Formulas
  • 8.4 The Product-to-Sum and Sum-to-Product Formulas
  • 8.5 Trigonometric Equations
  • Chapter Summary

9. Applications of Trigonometry

  • 9.1 Right Triangle Applications
  • 9.2 The Law of Sines
  • 9.3 The Law of Cosines
  • 9.4 Area of Triangles
  • Chapter Summary

10. Polar Equations, Complex Numbers, and Vectors

  • 10.1 Polar Coordinates and Polar Equations
  • 10.2 Graphing Polar Equations
  • 10.3 Complex Numbers in Polar Form; DeMoivre's Theorem
  • 10.4 Vectors
  • 10.5 The Dot Product
  • Chapter Summary

11. Conic Sections and Parametric Equations

  • Introduction to Conic Sections
  • 11.1 The Parabola
  • 11.2 The Ellipse
  • 11.3 The Hyperbola
  • 11.4 Conic Sections in Polar Form
  • 11.5 Parametric Equations
  • Chapter Summary

12. Systems of Equations and Inequalities

  • 12.1 Solving Systems of Linear Equations in Two Variables
  • 12.2 Solving Systems of Linear Equations in Three Variables Using the Elimination Method
  • 12.3 Solving Systems of Linear Equations in Three Variables Using Gaussian Elimination and Gauss-Jordan Elimination
  • 12.4 Partial Fraction Decomposition
  • 12.5 Systems of Nonlinear Equations
  • 12.6 Systems of Inequalities
  • Chapter Summary

13. Matrices

  • 13.1 Matrix Operations
  • 13.2 Inverses of Matrices and Matrix Equations
  • 13.3 Determinants and Cramer's Rule
  • Chapter Summary

14. Sequences and Series; Counting and Probability

  • 14.1 Introduction to Sequences and Series
  • 14.2 Arithmetic Sequences and Series
  • 14.3 Geometric Sequences and Series
  • 14.4 The Binomial Theorem
  • 14.5 Mathematical Induction
  • 14.6 The Theory of Counting
  • 14.7 An Introduction to Probability
  • Chapter Summary

Appendices

  • A: Degree, Minute, A Second Form and Degree Decimal Form
  • B: Conic Section Proofs
  • B.1 Parabola Proofs
  • B.2 Ellipse Proofs
  • B.3 Hyperbola Proofs

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