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Precalculus With Unit-Circle Trigonometry,9780534352752
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Precalculus With Unit-Circle Trigonometry

by
Edition:
3rd
ISBN13:

9780534352752

ISBN10:
0534352758
Media:
Paperback
Pub. Date:
1/8/1998
Publisher(s):
Brooks Cole
List Price: $197.66

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Summary

In this new ADVANTAGE SERIES version of David Cohen's PRECALCULUS: WITH UNIT CIRCLE TRIGONOMETRY, THIRD EDITION, Cohen continues to offer a book that is accessible to the student through a careful progression and presentation of concepts, rich problem sets and examples to help explain and motivate concepts, and continual guidance through the challenging work needed to master concepts and skills. This book is identical to PRECALCULUS: A PROBLEMS-ORIENTED APPROACH, Fifth Edition with the exception of the first four chapters on trigonometry. As part of the ADVANTAGE SERIES, this new version will offer all the quality content you've come to expect from Cohen sold to your students at a significantly lower price.

Table of Contents

1 ALGEBRA BACKGROUND FOR PRECALCULUS
1(34)
1.1 Sets of Real Numbers
1(5)
1.2 Absolute Value
6(5)
1.3 Polynomials and Factoring
11(9)
1.4 Quadratic Equations
20(15)
2 COORDINATES, GRAPHS, AND INEQUALITIES
35(66)
2.1 Rectangular Coordinates
35(12)
2.2 Graphs and Equations, a Second Look
47(10)
2.3 Equations of Lines
57(12)
2.4 Symmetry and Graphs
69(8)
2.5 Inequalities
77(8)
2.6 More on Inequalities
85(16)
3 FUNCTIONS
101(74)
3.1 The Definition of a Function
101(12)
3.2 The Graph of a Function
113(17)
3.3 Techniques in Graphing
130(12)
3.4 Methods of Combining Functions. Iteration
142(12)
3.5 Inverse Functions
154(21)
4 POLYNOMIAL AND RATIONAL FUNCTIONS. APPLICATIONS TO ITERATION AND OPTIMIZATION
175(95)
4.1 Linear Functions
175(14)
4.2 Quadratic Functions
189(9)
4.3 More on Iteration. Quadratics and Population Growth
198(17)
4.4 Applied Functions: Setting Up Equations
215(12)
4.5 Maximum and Minimum Problems
227(11)
4.6 Polynomial Functions
238(13)
4.7 Rational Functions
251(19)
5 EXPONENTIAL AND LOGARITHMIC FUNCTIONS
270(87)
5.1 Exponential Functions
271(9)
5.2 The Exponential Function y = e(x)
280(9)
5.3 Logarithmic Functions
289(12)
5.4 Properties of Logarithms
301(9)
5.5 Equations and Inequalities with Logs and Exponents
310(11)
5.6 Compound Interest
321(11)
5.7 Exponential Growth and Decay
332(25)
6 THE TRIGONOMETRIC FUNCTIONS
357(59)
6.1 Radian Measure
357(14)
6.2 Trigonometric Functions of Angles
371(11)
6.3 Evaluating the Trigonometric Functions
382(8)
6.4 Algebra and the Trigonometric Functions
390(10)
6.5 Right-Triangle Trigonometry
400(16)
7 GRAPHS OF THE TRIGONOMETRIC FUNCTIONS
416(62)
7.1 Trigonometric Functions of Real Numbers
417(11)
7.2 Graphs of the Sine and Cosine Functions
428(16)
7.3 Graphs of y = A sin(Bx - C) and y = A cos(Bx - C)
444(12)
7.4 Simple Harmonic Motion
456(6)
7.5 Graphs of the Tangent and the Reciprocal Functions
462(16)
8 ANALYTICAL TRIGONOMETRY
478(59)
8.1 The Addition Formulas
478(9)
8.2 The Double-Angle Formulas
487(10)
8.3 Product-to-Sum and Sum-to-Product Formulas
497(5)
8.4 Trigonometric Equations
502(14)
8.5 The Inverse Trigonometric Functions
516(21)
9 ADDITIONAL TOPICS IN TRIGONOMETRY
537(79)
9.1 Right-Triangle Applications
537(14)
9.2 The Law of Sines and the Law of Cosines
551(16)
9.3 Vectors in the Plane, a Geometric Approach
567(7)
9.4 Vectors in the Plane, an Algebraic Approach
574(8)
9.5 Parametric Equations
582(12)
9.6 Introduction to Polar Coordinates
594(5)
9.7 Graphs in Polar Coordinates
599(17)
10 SYSTEMS OF EQUATIONS
616(72)
10.1 Systems of Two Linear Equations in Two Unknowns
616(11)
10.2 Gaussian Elimination
627(8)
10.3 Matrices
635(12)
10.4 The Inverse of a Square Matrix
647(7)
10.5 Determinants and Cramer's Rule
654(13)
10.6 Nonlinear Systems of Equations
667(7)
10.7 Systems of Inequalities
674(14)
11 ANALYTIC GEOMETRY
688(80)
11.1 The Basic Equations
688(9)
11.2 The Parabola
697(11)
11.3 Tangents to Parabolas (Optional)
708(3)
11.4 The Ellipse
711(15)
11.5 The Hyperbola
726(11)
11.6 The Focus-Directrix Property of Conics
737(9)
11.7 The Conics in Polar Coordinates
746(6)
11.8 Rotation of Axes
752(16)
12 ROOTS OF POLYNOMIAL EQUATIONS
768(70)
12.1 The Complex Number System
768(8)
12.2 Division of Polynomials
776(7)
12.3 Roots of Polynomial Equations: The Remainder Theorem and the Factor Theorem
783(8)
12.4 The Fundamental Theorem of Algebra
791(9)
12.5 Rational and Irrational Roots
800(8)
12.6 Conjugate Roots and Descartes's Rule of Signs
808(6)
12.7 Introduction to Partial Fractions
814(7)
12.8 More About Partial Fractions
821(17)
13 ADDITIONAL TOPICS
838
13.1 Mathematical Induction
838(6)
13.2 The Binomial Theorem
844(10)
13.3 Introduction to Sequences and Series
854(7)
13.4 Arithmetic Sequences and Series
861(5)
13.5 Geometric Sequences and Series
866(5)
13.6 DeMoivre's Theorem
871
APPENDIXES
A-1(28)
A.1 Using a Graphing Utility
A-3(4)
A.2 Significant Digits and Calculators
A-7(4)
A.3 Properties of the Real Numbers
A-11(7)
A.4 XXX2 Is Irrational
A-18(1)
A.5 Review of Integer Exponents and nth Roots
A-19(7)
A.6 Review of Rational Exponents
A-26(3)
TABLES
A-29(12)
1 Exponential Functions
A-30(1)
2 Logarithms to the Base Ten
A-31(2)
3 Natural Logarithms
A-33(1)
4 Values of Trigonometric Functions
A-34(7)
ANSWERS TO SELECTED EXERCISES A-41
INDEX I-1


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