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Algebra and Trigonometry,9780130914651
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Algebra and Trigonometry

by
Edition:
6th
ISBN13:

9780130914651

ISBN10:
0130914657
Format:
Hardcover
Pub. Date:
1/1/2002
Publisher(s):
PRENTICE HALL

Questions About This Book?

What version or edition is this?
This is the 6th edition with a publication date of 1/1/2002.
What is included with this book?
  • The Used copy of this book is not guaranteed to include any supplemental materials. Typically, only the book itself is included.

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Summary

The Eighth Edition of this highly dependable book retains its best features-accuracy, precision, depth, and abundant exercise sets-while 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.

Table of Contents

Preface to the Instructor ix
Preface to the Student xv
List of Applications
xxv
Review
1(82)
Real Numbers
2(14)
Algebra Review
16(6)
Geometry Review
22(6)
Integer Exponents
28(9)
Polynomials
37(10)
Factoring Polynomials
47(8)
Rational Expressions
55(12)
Square Roots; Radicals
67(7)
Rational Exponents
74(9)
Chapter Review
78(5)
Equations and Inequalities
83(62)
Equations
84(10)
Setting Up Equations: Applications
94(11)
Quadratic Equations
105(14)
Radical Equations; Equations Quadratic in Form
119(5)
Solving Inequalities
124(11)
Equations and Inequalities Involving Absolute Value
135(10)
Chapter Review
139(4)
Project at Motorola
143(2)
Graphs
145(58)
Rectangular Coordinates
146(7)
Graphs of Equations
153(10)
Lines
163(12)
Parallel and Perpendicular Lines; Circles
175(10)
Scatter Diagrams; Linear Curve Fitting
185(7)
Variation
192(11)
Chapter Review
198(4)
Project at Motorola
202(1)
Functions and Their Graphs
203(78)
Functions
204(20)
Properties of Functions
224(10)
Library of Functions; Piecewise-Defined Functions
234(8)
Graphing Techniques: Transformations
242(13)
Operations on Functions; Composite Functions
255(9)
Mathematical Models: Constructing Functions
264(17)
Chapter Review
273(6)
Project at Motorola
279(2)
Polynomial and Rational Functions
281(72)
Quadratic Functions and Models
282(18)
Polynomial Functions
300(18)
Rational Functions I
318(10)
Rational Functions II: Analyzing Graphs
328(14)
Polynomial and Rational Inequalities
342(11)
Chapter Review
348(4)
Project at Motorola
352(1)
The Zeros of a Polynomial Function
353(38)
Synthetic Division
354(4)
The Real Zeros of Polynomial Function
358(14)
Complex Numbers; Quadratic Equations with a Negative Discriminant
372(9)
Complex Zeros; Fundamental Theorem of Algebra
381(10)
Chapter Review
387(3)
Project at Motorola
390(1)
Exponential and Logarithmic Functions
391(84)
One-to-One Functions; Inverse Functions
392(12)
Exponential Functions
404(14)
Logarithmic Functions
418(11)
Properties of Logarithms; Exponential and Logarithmic Models
429(13)
Logarithmic and Exponential Equations
442(4)
Compound Interest
446(9)
Growth and Decay; Newton's Law; Logistic Models
455(8)
Logarithmic Scales
463(12)
Chapter Review
468(6)
Project at Motorola
474(1)
Trigonometric Functions
475(92)
Angles and Their Measure
476(13)
Right Triangle Trigonometry
489(11)
Computing the Values of Trignometric Functions of Given Angles
500(8)
Trignometric Functions of General Angles
508(10)
Properties of the Trigonometric Functions; Unit Circle Approach
518(11)
Graphs of the Sine and Cosine Functions
529(14)
Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
543(6)
Phase Shift; Sinusoidal Curve Fitting
549(18)
Chapter Review
560(6)
Project at Motorola
566(1)
Analytic Trigonometry
567(60)
The Inverse Sine, Cosine, and Tangent Functions
568(10)
The Inverse Trigonometric Functions (Continued)
578(4)
Trignometric Identities
582(6)
Sum and Difference Formulas
588(10)
Double-angle and Half-angle Formulas
598(9)
Product-to-Sum and Sum-to-Product Formulas
607(3)
Trigonometric Equations I
610(5)
Trigonometric Equations II
615(12)
Chapter Review
622(4)
Project at Motorola
626(1)
Applications of Trigonometric Functions
627(46)
Applications Involving Right Triangles
628(8)
The Law of Sines
636(11)
The Law of Cosines
647(7)
The Area of a Triangle
654(5)
Simple Harmonic Motion; Damped Motion; Combining Waves
659(14)
Chapter Review
667(5)
Project at Motorola
672(1)
Polar Coordinates; Vectors
673(58)
Polar Coordinates
674(8)
Polar Equations and Graphs
682(16)
The Complex Plane; De Moivre's Theorem
698(8)
Vectors
706(12)
The Dot Product
718(13)
Chapter Review
726(4)
Project at Motorola
730(1)
Analytic Geometry
731(68)
Conics
732(1)
The Parabola
733(10)
The Ellipse
743(10)
The Hyperbola
753(14)
Rotation of Axes; General Form of a Conic
767(8)
Polar Equations of Conics
775(6)
Plane Curves and Parametric Equations
781(18)
Chapter Review
794(4)
Project at Motorola
798(1)
Systems of Equations and Inequalities
799(100)
Systems of Linear Equations: Two Equations Containing Two Variables
800(11)
Systems of Linear Equations: Three Equations Containing Three Variables
811(6)
Systems of Linear Equations: Matrices
817(15)
Systems of Linear Equations: Determinants
832(11)
Matrix Algebra
843(16)
Partial Fraction Decomposition
859(7)
Systems of Nonlinear Equations
866(10)
Systems of Inequalities
876(8)
Linear Programming
884(15)
Chapter Review
891(6)
Project at Motorola
897(2)
Sequences; Induction; The Binomial Theorem
899(44)
Sequences
900(10)
Arithmetic Sequences
910(6)
Geometric Sequences; Geometric Series
916(11)
Mathematical Induction
927(4)
The Binomial Theorem
931(12)
Chapter Review
939(3)
Project at Motorola
942(1)
Counting and Probability
943(38)
Sets and Counting
944(6)
Permutations and Combinations
950(11)
Probability
961(20)
Chapter Review
975(4)
Project at Motorola
979(2)
Appendix Graphing Utilities 981
1 The Viewing Rectangle
981(2)
2 Using a Graphing Utility to Graph Equations
983(4)
3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry
987(2)
4 Using a Graphing Utility to Solve Equations
989(3)
5 Square Screens
992(1)
6 Using a Graphing Utility to Graph Inequalities
993(1)
7 Using a Graphing Utility to Solve Systems of Linear Equations
994(1)
8 Using a Graphing Utility to Graph a Polar Equation
995(2)
9 Using a Graphing Utility to Graph Parametric Equations
997
Photo and Illustration Credits CR1
Answers AN1
Index I1


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