Trigonometry

by Larson, Ron; Hostetler, Robert P.

• ISBN13: 9780669417371
• ISBN10: 0669417378
• Edition: 4th
• Format: Hardcover
• Copyright: 1997-12-12
• Publisher: Brooks Cole

Table of Contents

Prerequisities	1	(114)
Real Numbers	2	(11)
Solving Equations	13	(13)
Graphs of Equations	26	(16)
Lines in the Plane and Slope	42	(15)
Functions	57	(14)
Analyzing Graphs of Functions	71	(12)
Translations and Combinations	83	(14)
Inverse Functions	97	(18)
Focus on Concepts	108	(1)
Review Exercises	109	(3)
Chapter Project: A Graphical Approach to Maximization	112	(2)
Chapter Test	114	(1)
Trigonometry	115	(98)
Radian and Degree Measure	116	(11)
Trigonometric Functions: The Unit Circle	127	(9)
Right Triangle Trigonometry	136	(12)
Trigonometric Functions of Any Angle	148	(10)
Graphs of Sine and Cosine Functions	158	(13)
Graphs of Other Trigonometric Functions	171	(12)
Inverse Trigonometric Functions	183	(11)
Applications and Models	194	(19)
Focus on Concepts	206	(1)
Review Exercises	207	(3)
Chapter Project: Analyzing a Graph	210	(2)
Chapter Test	212	(1)
Analytic Trigonometry	213	(54)
Using Fundamental Identities	214	(8)
Verifying Trigonometric Identities	222	(8)
Solving Trigonometric Equations	230	(11)
Sum and Difference Formulas	241	(8)
Multiple-Angle and Product-to-Sum Formulas	249	(18)
Focus on Concepts	261	(1)
Review Exercises	262	(2)
Chapter Project: Solving Equations Graphically	264	(2)
Chapter Test	266	(1)
Additional Topics in Trigonometry	267	(51)
Law of Sines	268	(10)
Law of Cosines	278	(9)
Vectors in the Plane	287	(14)
Vectors and Dot Products	301	(17)
Focus on Concepts	311	(1)
Review Exercises	312	(4)
Chapter Project: Adding Vectors Graphically	316	(2)
Cumulative Test for Chapters 1--3	318	(37)
Complex Numbers	319	(1)
Complex Numbers	320	(8)
Complex Solutions of Equations	328	(7)
Trigonometric Form of a Complex Number	335	(7)
DeMoivre's Theorem	342	(13)
Focus on Concepts	348	(1)
Review Exercises	349	(3)
Chapter Project: Using a Graphing Utility to Create Fractals	352	(2)
Chapter Test	354	(1)
Exponential and Logarithmic Functions	355	(62)
Exponential Functions and Their Graphs	356	(12)
Logarithmic Functions and Their Graphs	368	(11)
Properties of Logarithms	379	(7)
Exponential and Logarithmic Equations	386	(11)
Exponential and Logarithmic Models	397	(20)
Focus on Concepts	410	(1)
Review Exercises	411	(3)
Chapter Project: A Graphical Approach to Finding Compound Interest	414	(2)
Chapter Test	416	(1)
Topics in Analytic Geometry	417	(1)
Lines	418	(8)
Introduction to Conics: Parabolas	426	(9)
Ellipses	435	(10)
Hyperbolas	445	(10)
Rotation of Conics	455	(9)
Parametric Equations	464	(10)
Polar Coordinates	474	(8)
Graphs of Polar Equations	482	(9)
Polar Equations of Conics	491	(9)
Focus on Concepts	500	(1)
Review Exercises	501	(13)
Chapter Project: Graphing in Parametric and Polar Modes	514	(2)
Cumulative Test for Chapters 4--6	516
APPENDICES	A1
Appendix A: Further Concepts in Statistics	A2
A.1 Representing Data and Linear Modeling	A2
A.2 Measures of Central Tendency and Dispersion	A13
Appendix B: Think About the Proof	A21
Appendix C: Programs	A25
Appendix D: Scientific Calculator Keystrokes	A50
Answers to Warm ups, Odd-Numbered Exercises, Focus on Concepts, and Tests	A53
Index of Applications	A135
Index	A139