Contemporary Trigonometry A Graphing Approach (with CD-ROM and iLrn™ Tutorial)

by Hungerford, Thomas W.

• ISBN13: 9780534466381
• ISBN10: 0534466389
• Edition: 1st
• Format: Hardcover
• Copyright: 2005-03-24
• Publisher: Brooks Cole

Summary

Well-respected for thorough integration of the graphing calculator, clear writing, and outstanding applications problems, CONTEMPORARY TRIGONOMETRY uses real data in examples and exercises. This textbook is accompanied by supplements that enhance learning, including iLrn's robust suite of online course management, testing, and tutorial resources and Personal Tutor with SMARTHINKING's live online tutoring. The book also includes the Interactive Video Skillbuilder CD-ROM with MathCue, and a Book Companion Web Site that includes quizzing for every chapter and online graphing calculator resources.

Table of Contents

Preliminaries	1	(79)
The Real Numbers and Equations	2	(13)
The Coordinate Plane	15	(10)
Graphs, Technology, and Equations	25	(14)
Functions	39	(12)
Graphs of Functions	51	(10)
Graphs and Transformations	61	(19)
Chapter 0 Review	71	(5)
Discovery Project 0	76	(4)
Triangle Trigonometry	80	(55)
Trigonometric Functions of Acute Angles	81	(9)
Alternate: Trigonometric Functions of Angles	90	(2)
Applications of Right Triangle Trigonometry	92	(11)
The Law of Cosines	103	(13)
The Law of Sines	116	(19)
Special Topics: The Area of a Triangle	126	(4)
Chapter 1 Review	130	(3)
Discovery Project 1	133	(2)
Trigonometric Functions	135	(85)
Angles and Their Measurement	136	(12)
Special Topics: Arc Length and Angular Speed	143	(5)
The Sine, Cosine, and Tangent Functions	148	(9)
Alternate: The Sine, Cosine, and Tangent Functions	157	(7)
Algebra and Identities	164	(8)
Basic Graphs	172	(10)
Periodic Graphs and Simple Harmonic Motion	182	(21)
Special Topics: Other Trigonometric Graphs	197	(6)
Other Trigonometric Functions	203	(17)
Chapter 2 Review	212	(6)
Discovery Project 2	218	(2)
Trigonometric Identities and Equations	220	(58)
Basic Identities and Proofs	221	(9)
Addition and Subtraction Identities	230	(11)
Special Topics: Lines and Angles	237	(4)
Other Identities	241	(8)
Inverse Trigonometric Functions	249	(12)
Trigonometric Equations	261	(17)
Special Topics: Other Solution Methods for Trigonometric Equations	269	(4)
Chapter 3 Review	273	(3)
Discovery Project 3	276	(2)
Applications of Trigonometry	278	(52)
Complex Numbers	279	(6)
The Complex Plane and Polar Form for Complex Numbers	285	(7)
DeMoivre's Theorem and nth Roots of Complex Numbers	292	(8)
Vectors in the Plane	300	(15)
The Dot Product	315	(15)
Chapter 4 Review	325	(3)
Discovery Project 4	328	(2)
Analytic Geometry and Trigonometry	330	(91)
Circles and Ellipses	332	(17)
Hyperbolas	349	(11)
Parabolas	360	(10)
Rotations and Second-Degree Equations	370	(9)
Special Topics: Rotation of Axes	374	(5)
Plane Curves and Parametric Equations	379	(13)
Polar Coordinates	392	(12)
Polar Equations of Conics	404	(17)
Chapter 5 Review	415	(4)
Discovery Project 5	419	(2)
Exponential and Logarithmic Functions	421	(70)
Exponential Functions	422	(13)
Applications of Exponential Functions	435	(12)
Common and Natural Logarithmic Functions	447	(11)
Properties of Logarithms	458	(16)
Special Topics: Logarithmic Functions to Other Bases	465	(9)
Algebraic Solutions of Exponential and Logarithmic Equations	474	(17)
Chapter 6 Review	484	(5)
Discovery Project 6	489	(2)
Appendix: Geometry Review	491
Answers	1	(1)
Index of Applications	1	(1)
Subject Index	2