Preface to the Instructor 

ix  
Preface to the Student 

xv  


xxv  
Photo and Illustration Credits 

xxviii  

Functions and Their Graphs 


1  (76) 


2  (7) 

Graphs of Equations: Circles 


9  (12) 


21  (17) 

Properties of Functions; Library of Functions 


38  (9) 

Graphing Techniques: Transformations 


47  (13) 

OnetoOne Functions: Inverse Functions 


60  (17) 


72  (4) 


76  (1) 


77  (84) 


78  (13) 

Trigonometric Functions: Unit Circle Approach 


91  (17) 

Properties of the Trigonometric Functions 


108  (15) 

Graphs of the Sine and Cosine Functions 


123  (14) 

Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions 


137  (6) 

Phase Shift: Sinusoidal Curve Fitting 


143  (18) 


154  (6) 


160  (1) 


161  (60) 

The Inverse Sine, Cosine, and Tangent Functions 


162  (10) 

The Inverse Trigonometric Functions (Continued) 


172  (4) 


176  (6) 

Sum and Difference Formulas 


182  (10) 

Doubleangle and Halfangle Formulas 


192  (9) 

ProducttoSum and SumtoProduct Formulas 


201  (3) 

Trigonometric Equations I 


204  (5) 

Trigonometric Equations II 


209  (12) 


216  (4) 


220  (1) 

Applications of Trigonometric Functions 


221  (52) 

Right Triangle Trigonometry 


222  (13) 


235  (11) 


246  (7) 


253  (5) 

Simple Harmonic Motion; Damped Motion; Combining Waves 


258  (15) 


266  (5) 


271  (2) 

Polar Coordinates; Vectors 


273  (74) 


274  (8) 

Polar Equations and Graphs 


282  (16) 

The Complex Plane; De Moiver's Theorem 


298  (2) 


300  (18) 


318  (8) 


326  (10) 


336  (11) 


342  (3) 


345  (2) 


347  (68) 


348  (1) 


349  (10) 


359  (10) 


369  (14) 

Rotation of Axes; General Form of a Conic 


383  (8) 

Polar Equations of Conics 


391  (6) 

Plane Curves and Parametric Equations 


397  (18) 


410  (4) 


414  (1) 

Exponential and Logarithmic Functions 


415  (72) 


416  (14) 


430  (11) 

Properties of Logarithms; Exponential and Logarithmic Models 


441  (13) 

Logarithmic and Exponential Equations 


454  (4) 


458  (9) 

Growth and Decay; Newton's Law; Logistic Models 


467  (8) 


475  (12) 


480  (6) 


486  (1) 
Appendix A Review 

487  (73) 


487  (10) 


497  (5) 


502  (11) 

A.4 Complex Numbers; Quadratic Equations with a Negative Discriminant 


513  (8) 


521  (10) 

A.6 nth Roots; Rational Exponents 


531  (6) 


537  (15) 

A.8 Scatter Diagrams; Lines Curve Fitting 


552  (8) 
Appendix B Graphing Utilities 

560  

B.1 The Viewing Rectangle 


560  (2) 

B.2 Using a Graphing Utility to Graph Equations 


562  (4) 

B.3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry 


566  (2) 

B.4 Using a Graphing Utility to Solve Equations 


568  (3) 


571  (1) 

B.6 Using a Graphing Utility to Graph a Polar Equation 


572  (1) 

B.7 Using a Graphing Utility to Graph Parametric Equations 


573  
Answers 

AN1  
Index 

I1  