Trigonometry (with BCA Tutorial and InfoTrac),9780534380274

Trigonometry (with BCA Tutorial and InfoTrac)

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Edition: 1st
ISBN13: 9780534380274
ISBN10: 0534380271
Format: Hardcover
Pub. Date: 2002-12-30
Publisher(s): Brooks Cole
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Summary

James Stewart, the author of the best-selling calculus texts, along with two of his former Ph.D. students, Lothar Redlin and Saleem Watson, collaborated in writing this book to address a problem they frequently saw in their calculus courses. Many students were not prepared to "think mathematically" but attempted to memorize facts and mimic examples. This trigonometry text has been designed specifically to help students learn to think mathematically and to develop true problem-solving skills. Patient, clear, and accurate, this text consistently illustrates how useful and applicable trigonometry is to real life.

Table of Contents

Functions and Graphs
2(110)
The Coordinate Plane
3(15)
Lines
18(15)
Visualizing Data
31(2)
Functions
33(13)
Graphs of Functions
46(15)
Transformations of Functions
61(12)
Combining Functions
73(12)
Iteration and Chaos
83(2)
One-to-One Functions and Their Inverses
85(27)
Review
95(5)
Test
100(2)
Fitting Lines to Data
102(10)
Trigonometric Functions of Real Numbers
112(64)
The Unit Circle
113(9)
Trigonometric Functions of Real Numbers
122(10)
Trigonometric Graphs
132(16)
Predator/Prey Models
146(2)
More Trigonometric Graphs
148(7)
Modeling Harmonic Motion
155(21)
Review
165(3)
Test
168(1)
Modeling Periodic Behavior from Data
169(7)
Trigonometric Functions of Angles
176(60)
Angle Measure
177(10)
Trigonometry of Right Triangles
187(10)
Trigonometric Functions of Angles
197(12)
Similarity
207(2)
The Law of Sines
209(8)
The Law of Cosines
217(19)
Review
225(5)
Test
230(2)
Surveying
232(4)
Analytic Trigonometry
236(58)
Trigonometric Identities
237(8)
Addition and Subtraction Formulas
245(7)
Double-Angle, Half-Angle, and Product-Sum Formulas
252(10)
Inverse Trigonometric Functions
262(10)
Where to Sit at the Movies
271(1)
Trigonometric Equations
272(22)
Review
283(3)
Test
286(1)
Traveling and Standing Waves
287(7)
Polar Coordinates, Complex Numbers, and Vectors
294(64)
Polar Coordinates
295(6)
Graphs of Polar Equations
301(9)
Complex Numbers
310(9)
Fractals
317(2)
Polar Form of Complex Numbers; DeMoivre's Theorem
319(10)
Vectors
329(11)
The Dot Product
340(18)
Sailing against the Wind
349(1)
Review
350(3)
Test
353(1)
Mapping the World
354(4)
Analytic Geometry
358(72)
Parabolas
359(11)
Rolling Down a Ramp
369(1)
Ellipses
370(10)
Hyperbolas
380(9)
Shifted Conics
389(8)
Rotation of Axes
397(9)
Polar Equations of Conics
406(6)
Parametric Equations
412(18)
Review
420(4)
Test
424(2)
The Path of a Projectile
426(4)
Exponential and Logarithmic Functions
430(81)
Exponential Functions
431(14)
Exponential Explosion
444(1)
Logarithmic Functions
445(10)
Laws of Logarithms
455(5)
Exponential and Logarithmic Equations
460(11)
Modeling with Exponential and Logarithmic Functions
471(15)
Damped Harmonic Motion
486(25)
Review
491(4)
Test
495(1)
Fitting Exponential and Power Functions to Data
496(15)
Appendix A Algebra Review 511(40)
A.1 Real Numbers
511(7)
A.2 Exponents and Radicals
518(7)
A.3 Algebraic Expressions
525(10)
A.4 Equations
535(11)
A.5 Inequalities
546(5)
Appendix B Geometry Review 551(7)
B.1 Congruence and Similarity of Triangles
551(5)
B.2 The Pythagorean Theorem
556(2)
Appendix C Graphing Calculators 558
C.1 Using a Graphing Calculator
558(4)
C.2 Solving Equations and Inequalities Graphically
562
Answers to Odd-Numbered Exercises and Chapter Tests 1(50)
Index 51(10)
Photo Credits 61

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