Precalculus: A Right Triangle Approach, 5th edition
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Overview
Precalculus: A Right Triangle Approach gives you the strength of solid mathematics in an engaging, friendly way. It draws from the authors' extensive classroom experience to connect conceptual understanding while maintaining the level of mathematics required. In the 5th Edition new resources lift you to reach your full potential, including Key Ideas for the next section, objective video and note-taking guides, and much more. Nationally recognized instructors Jessica Bernards and Wendy Fresh join the author team to add fresh perspective to this revision.
Published by Pearson (January 7th 2022) - Copyright © 2023
ISBN-13: 9780137519415
Subject: Precalculus, College Algebra & Trigonometry
Category: Precalculus
Table of contents
P. BASIC CONCEPTS OF ALGEBRA
- P.1 The Real Numbers and Their Properties
- P.2 Integer Exponents and Scientific Notation
- P.3 Polynomials
- P.4 Factoring Polynomials
- P.5 Rational Expressions
- P.6 Rational Exponents and Radicals
- Review Exercises
- Practice Test
1. EQUATIONS AND INEQUALITIES
- 1.1 Linear Equations in One Variable
- 1.2 Applications of Linear Equations: Modeling
- 1.3 Quadratic Equations
- 1.4 Complex Numbers: Quadratic Equations with Complex Solutions
- 1.5 Solving Other Types of Equations
- 1.6 Inequalities
- 1.7 Equations and Inequalities Involving Absolute Value
- Key Ideas At a Glance
- Review Exercises
- Practice Test
2. GRAPHS AND FUNCTIONS
- 2.1 The Coordinate Plane
- 2.2 Graphs of Equations
- 2.3 Lines
- 2.4 Functions
- 2.5 Properties of Functions
- 2.6 A Library of Functions
- 2.7 Transformations of Functions
- 2.8 Combining Functions; Composite Functions
- 2.9 Inverse Functions
- Key Ideas At a Glance
- Review Exercises
- Practice Test
- Cumulative Review Exercises Chapters P-2
3. POLYNOMIAL AND RATIONAL FUNCTIONS
- 3.1 Quadratic Functions
- 3.2 Polynomial Functions
- 3.3 Dividing Polynomials
- 3.4 The Real Zeros of a Polynomial Function
- 3.5 The Complex Zeros of a Polynomial Function
- 3.6 Rational Functions
- 3.7 Variation
- Key Ideas At a Glance
- Review Exercises
- Practice Test
- Cumulative Review Exercises Chapters P-3
4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS
- 4.1 Exponential Functions
- 4.2 Logarithmic Functions
- 4.3 Rules of Logarithms
- 4.4 Exponential and Logarithmic Equations and Inequalities
- 4.5 Logarithmic Scales; Modeling
- Key Ideas At a Glance
- Review Exercises
- Practice Test
- Cumulative Review Exercises Chapters P-4
5. TRIGONOMETRIC FUNCTIONS
- 5.1 Angles and Their Measure
- 5.2 Right-Triangle Trigonometry
- 5.3 Trigonometric Functions of Any Angle; The Unit Circle
- 5.4 Graphs of the Sine and Cosine Functions
- 5.5 Graphs of the Other Trigonometric Functions
- 5.6 Inverse Trigonometric Functions
- Key Ideas At a Glance
- Review Exercises
- Practice Test
- Cumulative Review Exercises Chapters P-5
6. TRIGONOMETRIC IDENTITIES AND EQUATIONS
- 6.1 Trigonometric Identities
- 6.2 Sum and Difference Formulas
- 6.3 Double-Angle and Half-Angle Formulas
- 6.4 Product-to-Sum and Sum-to-Product Formulas
- 6.5 Trigonometric Equations I
- 6.6 Trigonometric Equations II
- Key Ideas At a Glance
- Review Exercises
- Practice Test
- Cumulative Review Exercises Chapters P-6
7. APPLICATIONS OF TRIGONOMETRIC FUNCTIONS
- 7.1 The Law of Sines
- 7.2 The Law of Cosines
- 7.3 Areas of Polygons Using Trigonometry
- 7.4 Vectors
- 7.5 The Dot Product
- 7.6 Polar Coordinates
- 7.7 Polar Form of Complex Numbers; DeMoivre's Theorem
- Key Ideas At a Glance
- Review Exercises
- Practice Test
- Cumulative Review Exercises Chapters P-7
8. SYSTEMS OF EQUATIONS AND INEQUALITIES
- 8.1 Systems of Linear Equations in Two Variables
- 8.2 Systems of Linear Equations in Three Variables
- 8.3 Partial-Fraction Decomposition
- 8.4 Systems of Nonlinear Equations
- 8.5 Systems of Inequalities
- 8.6 Linear Programming
- Key Ideas At a Glance
- Review Exercises
- Practice Test
- Cumulative Review Exercises Chapters P-8
9. MATRICES AND DETERMINANTS
- 9.1 Matrices and Systems of Equations
- 9.2 Matrix Algebra
- 9.3 The Matrix Inverse
- 9.4 Determinants and Cramer's Rule
- Key Ideas At a Glance
- Review Exercises
- Practice Test
- Cumulative Review Exercises Chapters P-9
10. CONIC SECTIONS
- 10.1 Conic Sections: Overview
- 10.2 The Parabola
- 10.3 The Ellipse
- 10.4 The Hyperbola
- Key Ideas At a Glance
- Review Exercises
- Practice Test
- Cumulative Review Exercises Chapters P-10
11. FURTHER TOPICS IN ALGEBRA
- 11.1 Sequences and Series
- 11.2 Arithmetic Sequences; Partial Sums
- 11.3 Geometric Sequences and Series
- 11.4 Mathematical Induction
- 11.5 The Binomial Theorem
- 11.6 Counting Principles
- 11.7 Probability
- Key Ideas At a Glance
- Review Exercises
- Practice Test
- Cumulative Review Exercises Chapters P-11
Answers to Selected Exercises
Credits
Index
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