Trigonometry Enhanced with Graphing Utilities

by Sullivan, Michael; Sullivan, Michael

• ISBN13: 9780130659149
• ISBN10: 0130659142
• Edition: 3rd
• Format: Hardcover
• Copyright: 2003-01-01
• Publisher: Pearson College Div

Summary

Includes coverage of trigonometric functions and their applications, analytic trigonometry, polar coordinates and vectors, and exponential and logarithmic functions. For anyone who needs to brush up on everyday or business-related mathematics. Previous ed. c2000.

Table of Contents

Preface to the Instructor	xi
Preface to the Student	xvi
List of Applications	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)
Functions	33	(18)
Properties of Functions; Library of Functions	51	(13)
Graphing Techniques: Transformations	64	(13)
One-to-One Functions; Inverse Functions	77	(20)
Chapter Review	90	(5)
Chapter Projects	95	(2)
Trigonometric Functions	97	(100)
Angles and Their Measure	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)
Chapter Review	188	(6)
Chapter Projects	194	(2)
Cumulative Review	196	(1)
Analytic Trigonometry	197	(70)
The Inverse Sine, Cosine, and Tangent Functions	198	(12)
The Inverse Trigonometric Functions (continued)	210	(5)
Trigonometric Identities	215	(7)
Sum and Difference Formulas	222	(11)
Double-Angle and Half-Angle Formulas	233	(10)
Product-to-Sum and Sum-to-Product Formulas	243	(4)
Trigonometric Equations (I)	247	(6)
Trigonometric Equations (II)	253	(14)
Chapter Review	260	(4)
Chapter Projects	264	(1)
Cumulative Review	265	(2)
Applications of Trigonometric Functions	267	(50)
Applications Involving Right Triangles	268	(8)
The Law of Sines	276	(12)
The Law of Cosines	288	(6)
Area of a Triangle	294	(6)
Simple Harmonic Motion; Damped Motion; Combining Waves	300	(17)
Chapter Review	310	(4)
Chapter Projects	314	(2)
Cumulative Review	316	(1)
Polar Coordinates; Vectors	317	(80)
Polar Coordinates	318	(9)
Polar Equations and Graphs	327	(18)
The Complex Plane; De Moivre's Theorem	345	(9)
Vectors	354	(12)
The Dot Product	366	(8)
Vectors in Space	374	(10)
The Cross Product	384	(13)
Chapter Review	390	(4)
Chapter Projects	394	(1)
Cumulative Review	395	(2)
Analytic Geometry	397	(78)
Conics	398	(1)
The Parabola	399	(12)
The Ellipse	411	(12)
The Hyperbola	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)
Chapter Review	469	(4)
Chapter Projects	473	(1)
Cumulative Review	474	(1)
Exponential and Logarithmic Functions	475	(80)
Exponential Functions	476	(14)
Logarithmic Functions	490	(12)
Properties of Logarithms	502	(10)
Logarithmic and Exponential Equations	512	(4)
Compound Interest	516	(11)
Growth and Decay	527	(11)
Exponential, Logarithmic, and Logistic Models	538	(17)
Chapter Review	547	(6)
Chapter Projects	553	(2)
APPENDIX REVIEW	555
A.1 Algebra Review	555	(10)
A.2 Geometry Review	565	(6)
A.3 Solving Equations	571	(14)
A.4 Complex Numbers; Quadratic Equations with a Negative Discriminant	585	(9)
A.5 Inequalities	594	(12)
A.6 nth Roots; Rational Exponents	606	(6)
A.7 Lines	612	(16)
A.8 Scatter Diagrams; Linear Curve Fitting	628
Answers	1	(1)
Index	1