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Trigonometry : Enhanced with Graphing Utilities,9780130206930
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Trigonometry : Enhanced with Graphing Utilities

by
Edition:
2nd
ISBN13:

9780130206930

ISBN10:
0130206938
Format:
Hardcover
Pub. Date:
2/1/2000
Publisher(s):
Prentice Hall
List Price: $120.00

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This is the 2nd edition with a publication date of 2/1/2000.
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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


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