Preface to the Instructor 

xi  
Preface to the Student 

xvi  


xxvii  
Photo Credits 

xxxi  

Functions and Their Graphs 


1  (96) 

Rectangular Coordinates; Graphing Utilities 


2  (10) 

Introduction to Graphing Equations 


12  (8) 

Symmetry; Graphing Key Equations; Circles 


20  (13) 


33  (18) 

Properties of Functions; Library of Functions 


51  (13) 

Graphing Techniques: Transformations 


64  (13) 

OnetoOne Functions; Inverse Functions 


77  (20) 


90  (5) 


95  (2) 


97  (100) 


98  (14) 

Right Triangle Trigonometry 


112  (11) 

Computing the Values of Trigonometric Functions of Given Angles 


123  (8) 

Trigonometric Functions of General Angles 


131  (11) 

Properties of the Trigonometric Functions; Unit Circle Approach 


142  (12) 

Graphs of the Sine and Cosine Functions 


154  (16) 

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


170  (7) 

Phase Shift; Sinusoidal Curve Fitting 


177  (20) 


188  (6) 


194  (2) 


196  (1) 


197  (70) 

The Inverse Sine, Cosine, and Tangent Functions 


198  (12) 

The Inverse Trigonometric Functions (continued) 


210  (5) 


215  (7) 

Sum and Difference Formulas 


222  (11) 

DoubleAngle and HalfAngle Formulas 


233  (10) 

ProducttoSum and SumtoProduct Formulas 


243  (4) 

Trigonometric Equations (I) 


247  (6) 

Trigonometric Equations (II) 


253  (14) 


260  (4) 


264  (1) 


265  (2) 

Applications of Trigonometric Functions 


267  (50) 

Applications Involving Right Triangles 


268  (8) 


276  (12) 


288  (6) 


294  (6) 

Simple Harmonic Motion; Damped Motion; Combining Waves 


300  (17) 


310  (4) 


314  (2) 


316  (1) 

Polar Coordinates; Vectors 


317  (80) 


318  (9) 

Polar Equations and Graphs 


327  (18) 

The Complex Plane; De Moivre's Theorem 


345  (9) 


354  (12) 


366  (8) 


374  (10) 


384  (13) 


390  (4) 


394  (1) 


395  (2) 


397  (78) 


398  (1) 


399  (12) 


411  (12) 


423  (15) 

Rotation of Axes; General Form of a Conic 


438  (9) 

Polar Equations of Conics 


447  (7) 

Plane Curves and Parametric Equations 


454  (21) 


469  (4) 


473  (1) 


474  (1) 

Exponential and Logarithmic Functions 


475  (80) 


476  (14) 


490  (12) 


502  (10) 

Logarithmic and Exponential Equations 


512  (4) 


516  (11) 


527  (11) 

Exponential, Logarithmic, and Logistic Models 


538  (17) 


547  (6) 


553  (2) 
APPENDIX REVIEW 

555  


555  (10) 


565  (6) 


571  (14) 

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


585  (9) 


594  (12) 

A.6 nth Roots; Rational Exponents 


606  (6) 


612  (16) 

A.8 Scatter Diagrams; Linear Curve Fitting 


628  
Answers 

1  (1) 
Index 

1  