Trigonometry

by Larson, Ron

• ISBN13: 9780618052868
• ISBN10: 0618052860
• Edition: 5th
• Format: Hardcover
• Copyright: 2000-08-02
• Publisher: Brooks Cole

Table of Contents

A Word from the Authors (Preface)	vi
Features Highlights	viii
An Introduction to Graphing Utilities	xv
Prerequisites	1	(117)
Real Numbers	2	(10)
Solving Equations	12	(13)
The Cartesian Plane and Graphs of Equations	25	(13)
Linear Equations in Two Variables	38	(15)
Functions	53	(14)
Analyzing Graphs of Functions	67	(13)
Shifting, Reflecting, and Stretching Graphs	80	(11)
Combinations of Functions	91	(8)
Inverse Functions	99	(19)
Chapter Summary	109	(2)
Review Exercises	111	(5)
Chapter Project: A Graphical Approach to Maximization	116	(1)
Chapter Test	117	(1)
Trigonometry	118	(90)
Radian and Degree Measure	120	(11)
Trigonometric Functions: The Unit Circle	131	(7)
Right Triangle Trigonometry	138	(11)
Trigonometric Functions of Any Angle	149	(9)
Graphs of Sine and Cosine Functions	158	(11)
Graphs of Other Trigonometric Functions	169	(11)
Inverse Trigonometric Functions	180	(10)
Applications and Models	190	(18)
Chapter Summary	201	(1)
Review Exercises	202	(4)
Chapter Project: Analyzing a Graph	206	(1)
Chapter Test	207	(1)
Analytic Trigonometry	208	(52)
Using Fundamental Identities	210	(8)
Verifying Trigonometric Identities	218	(7)
Solving Trigonometric Equations	225	(11)
Sum and Difference Formulas	236	(7)
Multiple-Angle and Product-to-Sum Formulas	243	(17)
Chapter Summary	254	(1)
Review Exercises	255	(3)
Chapter Project: Projectile Motion	258	(1)
Chapter Test	259	(1)
Additional Topics in Trigonometry	260	(48)
Law of Sines	262	(9)
Law of Cosines	271	(8)
Vectors in the Plane	279	(13)
Vectors and Dot Products	292	(16)
Chapter Summary	300	(1)
Review Exercises	301	(3)
Chapter Project: Adding Vectors Graphically	304	(1)
Chapter Test	305	(1)
Cumulative Test: Chapters 1-3	306	(2)
Complex Numbers	308	(34)
Complex Numbers	310	(7)
Complex Solutions of Equations	317	(7)
Trigonometric Form of a Complex Number	324	(7)
DeMoivre's Theorem	331	(11)
Chapter Summary	337	(1)
Review Exercises	338	(2)
Chapter Project: Using a Graphing Utility to Create Fractals	340	(1)
Chapter Test	341	(1)
Exponential and Logarithmic Functions	342	(62)
Exponential Functions and Their Graphs	344	(12)
Logarithmic Functions and Their Graphs	356	(11)
Properties of Logarithms	367	(6)
Exponential and Logarithmic Equations	373	(11)
Exponential and Logarithmic Models	384	(20)
Chapter Summary	397	(1)
Review Exercises	398	(4)
Chapter Project: Graphical Approach to Compound Interest	402	(1)
Chapter Test	403	(1)
Topics in Analytic Geometry	404	(2)
Lines	406	(7)
Introduction to Conics: Parabolas	413	(8)
Ellipses	422	(9)
Hyperbolas	431	(9)
Rotation of Conics	440	(8)
Parametric Equations	448	(8)
Polar Coordinates	456	(6)
Graphs of Polar Equations	462	(8)
Polar Equations of Conics	470	(7)
Chapter Summary	477	(1)
Review Exercises	478	(4)
Chapter Project: Polar, Rectangular, and Parametric Forms	482	(1)
Chapter Test	483	(1)
Cumulative Test: Chapters 4-6	484
Appendices
Appendix A Proofs of Selected Theorems	A1
Appendix B Concepts in Statistics	A12
B.1 Representing Data	A12
B.2 Measures of Central Tendency and Dispersion	A16
B.3 Least Squares Regression	A25
Answers to Odd-Numbered Exercises and Tests	A29
Index of Applications	A111
Index	A113