Algebra and Trigonometry

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ISBN: 9780132329033 | 0132329034
Cover: Hardcover
Copyright: 1/1/2008

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The Eighth Edition of this highly dependable book retains its best featuresaccuracy, precision, depth, and abundant exercise setswhile substantially updating its content and pedagogy. Striving to teach mathematics as a way of life, Sullivan provides understandable, realistic applications that are consistent with the abilities of most readers.Chapter topics include Graphs; Trigonometric Functions; Exponential and Logarithmic Functions; Analytic Geometry; Analytic Trigonometry; Counting and Probability; and more.For individuals with an interest in learning algebra and trigonometry as it applies to their everyday lives.

Review
Real Numbers
Algebra Essentials
Geometry Essentials
Polynomials
Factoring Polynomials
Synthetic Division
Rational Expressions
nth Roots; Rational Exponents Chapter Review Chapter Test
Equations and Inequalities
Linear Equations
Quadratic Equations
Complex Numbers; Quadratic Equations in the Complex Number System
Radical Equations; Equations Quadratic in Form; Factorable Equations
Solving Inequalities
Equations and Inequalities Involving Absolute Value
Problem Solving: Interest, Mixture, Uniform Motion, and Constant Rate Jobs Applications Chapter Review Chapter Test Chapter Projects
Graphs
The Distance and Midpoint Formulas
Graphs of Equations; Intercepts; Symmetry
Lines
Circles
Variation Chapter Review Chapter Test Cumulative Review Chapter Projects
Functions and Their Graphs
Functions
The Graph of a Function
Properties of Functions
Library of Functions; Piecewise-defined Functions
Graphing Techniques: Transformations
Mathematical Models: Building Functions Chapter Review Chapter Test Cumulative Review Chapter Projects
Linear and Quadratic Functions
Linear Functions and Their Properties
Building Linear Functions from Data
Quadratic Functions and Their Properties
Quadratic Models; Building Quadratic Functions From Data
Inequalities Involving Quadratic Functions Chapter Review Chapter Test Cumulative Review Chapter Projects
Polynomial and Rational Functions
Polynomial Functions and Models
Properties of Rational Functions
The Graph of a Rational Function
Polynomial and Rational Inequalities
The Real Zeros of a Polynomial Function
Complex Zeros: Fundamental Theorem of Algebra Chapter Review Chapter Test Cumulative Review Chapter Projects
Exponential and Logarithmic Functions
Composite Functions
One-to-One Functions; Inverse Functions
Exponential Functions
Logarithmic Functions
Properties of Logarithms
Logarithmic and Exponential Equations
Compound Interest
Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models
Building Exponential, Logarithmic, and Logistic Functions from Data Chapter Review Chapter Test Cumulative Review Chapter Project
Trigonometric Functions
Angles and Their Measure
Right Triangle Trigonometry
Computing the Values of Trigonometric Functions of Acute Angles
Trigonometric Functions of General Angles
Unit Circle Approach: Properties of the Trigonometric Functions
Graphs of the Sine and Cosine Functions
Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
Phase Shift; Building Sinusoidal Functions from Data Chapter Review Chapter Test Cumulative Review Chapter Projects
Analytic Trigonometry
The Inverse Sine, Cosine, and Tangent Functions
The Inverse Trigonometric Functions (continued)
Trigonometric Identities
Sum and Difference Formulas <
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Algebra and Trigonometry

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