Trigonometry

by Dugopolski, Mark

• ISBN13: 9780321356901
• ISBN10: 032135690X
• Edition: 2nd
• Format: Hardcover
• Copyright: 2007-01-01
• 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
Supplements List	xi
Function Gallery	xv
Algebraic Prerequisites
The Cartesian Coordinate System	2	(10)
Functions	12	(8)
Families of Functions, Transformations, and Symmetry	20	(11)
Compositions and Inverses	31	(15)
Chapter P Highlights	41	(1)
Chapter P Review Exercises	42	(2)
Chapter P Test	44	(2)
Angles and the Trigonometric Functions
Angles and Degree Measure	46	(9)
Radian Measure, Are Length, and Area	55	(11)
Angular and Linear Velocity	66	(6)
The Trigonometric Functions	72	(11)
Right Triangle Trigonometry	83	(15)
The Fundamental Identity and Reference Angles	98	(14)
Chapter 1 Highlights	106	(2)
Chapter 1 Review Exercises	108	(2)
Chapter 1 Test	110	(2)
Graphs of the Trigonometric Functions
The Unit Circle and Graphing	112	(13)
The General Sine Wave	125	(12)
Graphs of the Secant and Cosecant Functions	137	(6)
Graphs of the Tangent and Cotangent Functions	143	(11)
Combining Functions	154	(13)
Chapter 2 Highlights	161	(1)
Chapter 2 Review Exercises	162	(1)
Chapter 2 Test	163	(1)
Tying it all Together	164	(3)
Trigonometric Identities
Basic Identities	167	(10)
Verifying Identities	177	(8)
Sum and Difference Identities for Cosine	185	(7)
Sum and Difference Identities for Sine and Tangent	192	(6)
Double-Angle and Half-Angle Identities	198	(10)
Product and Sum Identities	208	(16)
Chapter 3 Highlights	218	(1)
Chapter 3 Review Exercises	219	(2)
Chapter 3 Test	221	(1)
Tying it all Together	222	(2)
Solving Conditional Trigonometric Equations
The Inverse Trigonometric Functions	224	(11)
Basic Sine, Cosine, and Tangent Equations	235	(14)
Multiple Angle Equations	249	(6)
Trigonometric Equations of Quadratic Type	255	(13)
Chapter 4 Highlights	262	(1)
Chapter 4 Review Exercises	263	(2)
Chapter 4 Test	265	(1)
Tying it all Together	266	(2)
Applications of Trigonometry
The Law of Sines	268	(12)
The Law of Cosines	280	(11)
Area of a Triangle	291	(7)
Vectors	298	(12)
Applications of Vectors	310	(15)
Chapter 5 Highlights	320	(1)
Chapter 5 Review Exercises	321	(2)
Chapter 5 Test	323	(1)
Tying it all Together	323	(2)
Complex Numbers, Polar Coordinates, and Parametric Equations
Complex Numbers	325	(8)
Trigonometric Form of Complex Numbers	333	(8)
Powers and Roots of Complex Numbers	341	(6)
Polar Equations	347	(11)
Parametric Equations	358
Chapter 6 Highlights	363	(1)
Chapter 6 Review Exercises	364	(2)
Chapter 6 Test	366	(1)
Tying it all Together	366
Appendix A: Solutions to Try This Exercises	1	(14)
Appendix B: More Thinking Outside the Box	15
Answers to Selected Exercises	1	(1)
Credits	1	(1)
Index of Applications	1	(2)
Index	3