Trigonometry: Enhanced With Graphing Utilities

by Sullivan, Michael

• ISBN13: 9780130206930
• ISBN10: 0130206938
• Edition: 2nd
• Format: Hardcover
• Copyright: 2000-02-01
• Publisher: Pearson College Div

Summary

For courses in Trigonometry which requires student use of a graphing calculator. Using the graphing utility to enhance mathematics, not replace it, this text approaches technology as a tool to solve problems, motivate concepts, and explore ideas. Many problems are solved using both algebra and a graphing utility, with the benefits of each illustrated. Throughout, applications and examples using real data enable students to make connections between the mathematics learned and familiar situations. The authors' user-friendly approach helps students develop the skills needed to succeed in subsequent mathematics courses.

Table of Contents

Preface to the Instructor	ix
Preface to the Student	xiii
List of Applications	xxiii
Photo Credits	xxvii
Functions and Their Graphs	1	(92)
Rectangular Coordinates; Graphing Utilities; Scatter Diagrams	2	(11)
Graphs and Circles	13	(14)
Functions	27	(17)
Characteristics of Functions; Library of Functions	44	(16)
Graphing Techniques: Transformations	60	(13)
One-to-One Functions; Inverse Functions	73	(20)
Chapter Review	85	(5)
Chapter Projects	90	(3)
Trigonometric Functions	93	(92)
Angles and Their Measure	94	(12)
Right Triangle Trigonometry	106	(11)
Computing the Values of Trigonometric Functions of Given Angles	117	(7)
Trigonometric Functions of General Angles	124	(11)
Properties of the Trigonometric Functions; Unit Circle Approach	135	(11)
Graphs of the Trigonometric Functions	146	(12)
Sinusoidal Graphs; Sinusoidal Curve Fitting	158	(27)
Chapter Review	177	(6)
Chapter Projects	183	(2)
Analytic Trigonometry	185	(64)
Trigonometric Identities	186	(6)
Sum and Difference Formulas	192	(9)
Double-Angle and Half-Angle Formulas	201	(10)
Product-to-Sum and Sum-to-Product Formulas	211	(3)
The Inverse Trigonometric Functions	214	(16)
Trigonometric Equations (I)	230	(5)
Trigonometric Equations (II)	235	(14)
Chapter Review	242	(4)
Chapter Projects	246	(3)
Applications of Trigonometric Functions	249	(48)
Solving Right Triangles	250	(9)
The Law of Sines	259	(12)
The Law of Cosines	271	(6)
The Area of a Triangle	277	(6)
Simple Harmonic Motion; Damped Motion	283	(14)
Chapter Review	290	(5)
Chapter Projects	295	(2)
Polar Coordinates; Vectors	297	(82)
Polar Coordinates	298	(8)
Polar Equations and Graphs	306	(20)
Complex Numbers	326	(8)
The Complex Plane; DeMoivre's Theorem	334	(8)
Vectors	342	(11)
The Dot Product	353	(10)
Vectors in Space	363	(16)
Chapter Review	373	(4)
Chapter Projects	377	(2)
Analytic Geometry	379	(76)
Conics	380	(1)
The Parabola	381	(12)
The Ellipse	393	(13)
The Hyperbola	406	(14)
Rotation of Axes; General Form of a Conic	420	(9)
Polar Equations of Conics	429	(6)
Plane Curves and Parametric Equations	435	(20)
Chapter Review	450	(4)
Chapter Projects	454	(1)
Exponential And Logarithmic Functions	455	(78)
Exponential Functions	456	(14)
Logarithmic Functions	470	(10)
Properties of Logarithms	480	(8)
Logarithmic and Exponential Equations	488	(7)
Compound Interest	495	(10)
Growth and Decay	505	(10)
Exponential, Logarithmic, and Logistic Curve Fitting	515	(18)
Chapter Review	526	(4)
Chapter Projects	530	(3)
APPENDIX	533
1. Topics from Algebra and Geometry	533	(12)
2. Solving Equations	545	(12)
3. Completing the Square; The Quadratic Formula	557	(4)
4. Lines	561	(16)
5. Linear Curve Fitting	577
Answers	AN 1	(1)
Index	I1