Cengage Advantage Books: Precalculus with Unit-Circle Trigonometry

by Cohen, David

• ISBN13: 9780534352752
• ISBN10: 0534352758
• Format: Hardcover
• Copyright: 1998-01-08
• Publisher: Brooks Cole

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