Trigonometry

by Dugopolski, Mark

• ISBN13: 9780201703382
• ISBN10: 0201703386
• Format: Hardcover
• Copyright: 2003-01-01
• Publisher: Addison Wesley

Summary

Providing Strategies for Success: This&text provides numerous strategies for success for both students and instructors. Instructors will find the book easier to use with such additions as an Annotated Instructor's Edition, instructor notes within the exercise sets, and an Insider's Guide.&Students will find success through features&including highlights, exercise hints, art annotations, critical thinking exercises, and pop quizzes, as well as procedures, strategies, and summaries.

Table of Contents

Preface	vii
List of Supplements	xi
Index of Applications	xv
P ALGEBRAIC PREREQUISITES
The Cartesian Coordinate System	2	(10)
Functions	12	(7)
Families of Functions, Transformations, and Symmetry	19	(10)
Compositions and Inverses	29	(13)
Chapter P Highlights	38	(1)
Chapter P Review Exercises	39	(1)
Chapter P Test	40	(2)
Angles and The Trigonometric Functions
Angles and Degree Measure	42	(10)
Radian Measure, Arc Length, and Area	52	(11)
Angular and Linear Velocity	63	(6)
The Trigonometric Functions	69	(12)
The Fundamental Identity and Reference Angles	81	(8)
Right Triangle Trigonometry	89	(20)
Chapter 1 Highlights	104	(1)
Chapter 1 Review Exercises	105	(2)
Chapter 1 Test	107	(2)
Graphs of the Trigonometric Functions
Graphs of the Sine and Cosine Functions	109	(15)
The General Sine Wave	124	(13)
Graphs of the Tangent and Cotangent Functions	137	(11)
Graphs of the Secant and Cosecant Functions	148	(7)
Combining Functions	155	(10)
Chapter 2 Highlights	160	(1)
Chapter 2 Review Exercises	161	(1)
Chapter 2 Test	162	(1)
Tying It All Together	163	(2)
Trigonometric Identities
Basic Identities	165	(10)
Verifying Identities	175	(8)
Sum and Difference Identities for Cosine	183	(8)
Sum and Difference Identities for Sine and Tangent	191	(6)
Double-Angle and Half-Angle Identities	197	(10)
Product and Sum Identities	207	(16)
Chapter 3 Highlights	218	(1)
Chapter 3 Review Exercises	219	(2)
Chapter 3 Test	221	(1)
Tying It All Together	221	(2)
Solving Conditional Trigonometric Equations
The Inverse Trigonometric Functions	223	(13)
Basic Sine, Cosine, and Tangent Equations	236	(12)
Multiple Angle Equations	248	(6)
Trigonometric Equations of Quadratic Type	254	(12)
Chapter 4 Highlights	262	(1)
Chapter 4 Review Exercises	263	(1)
Chapter 4 Test	264	(1)
Tying It All Together	264	(2)
Applications of Trigonometry
The Law of Sines	266	(13)
The Law of Cosines	279	(10)
Area of a Triangle	289	(8)
Vectors	297	(26)
Chapter 5 Highlights	318	(1)
Chapter 5 Review Exercises	319	(1)
Chapter 5 Test	320	(1)
Tying It All Together	321	(2)
Complex Numbers, Polar Coordinates, and Parametric Equations
Complex Numbers	323	(8)
Trigonometric Form of Complex Numbers	331	(10)
Powers and Roots of Complex Numbers	341	(6)
Polar Equations	347	(13)
Parametric Equations	360	(5)
Chapter 6 Highlights	365	(2)
Chapter 6 Review Exercises	367	(1)
Chapter 6 Test	368	(1)
Tying It All Together	368
Answers to Selected Exercises	1	(1)
Credits	1	(1)
Index	1