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Trigonometry,9780130412249
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Trigonometry

by
ISBN13:

9780130412249

ISBN10:
0130412244
Format:
Hardcover
Pub. Date:
1/1/2002
Publisher(s):
PRENTICE HALL

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Summary

For undergraduate courses in Trigonometry. A proven motivator for students of diverse mathematical backgrounds, these texts explore mathematics within the context of real life using understandable, realistic applications consistent with the abilities of any student. Graphing techniques are emphasized, including a thorough discussion of polynomial, rational, exponential, and logarithmic functions and conics. The use of a graphing calculator is optional.

Table of Contents

Preface to the Instructor ix
Preface to the Student xv
List of Applications
xxv
Photo and Illustration Credits xxviii
Functions and Their Graphs
1(76)
Rectangular Coordinates
2(7)
Graphs of Equations: Circles
9(12)
Functions
21(17)
Properties of Functions; Library of Functions
38(9)
Graphing Techniques: Transformations
47(13)
One-to-One Functions: Inverse Functions
60(17)
Chapter Review
72(4)
Project at Motorola
76(1)
Trigonometric Functions
77(84)
Angles and Their Measure
78(13)
Trigonometric Functions: Unit Circle Approach
91(17)
Properties of the Trigonometric Functions
108(15)
Graphs of the Sine and Cosine Functions
123(14)
Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
137(6)
Phase Shift: Sinusoidal Curve Fitting
143(18)
Chapter Review
154(6)
Project at Motorola
160(1)
Analytic Trigonometry
161(60)
The Inverse Sine, Cosine, and Tangent Functions
162(10)
The Inverse Trigonometric Functions (Continued)
172(4)
Trigonometric Identities
176(6)
Sum and Difference Formulas
182(10)
Double-angle and Half-angle Formulas
192(9)
Product-to-Sum and Sum-to-Product Formulas
201(3)
Trigonometric Equations I
204(5)
Trigonometric Equations II
209(12)
Chapter Review
216(4)
Project at Motorola
220(1)
Applications of Trigonometric Functions
221(52)
Right Triangle Trigonometry
222(13)
The Law of Sines
235(11)
The Law of Cosines
246(7)
The Area of a Triangle
253(5)
Simple Harmonic Motion; Damped Motion; Combining Waves
258(15)
Chapter Review
266(5)
Project at Motorola
271(2)
Polar Coordinates; Vectors
273(74)
Polar Coordinates
274(8)
Polar Equations and Graphs
282(16)
The Complex Plane; De Moiver's Theorem
298(2)
Vectors
300(18)
The Dot Product
318(8)
Vectors in Space
326(10)
The Cross Product
336(11)
Chapter Review
342(3)
Project at Motorola
345(2)
Analytic Geometry
347(68)
Conics
348(1)
The Parabola
349(10)
The Ellipse
359(10)
The Hyperbola
369(14)
Rotation of Axes; General Form of a Conic
383(8)
Polar Equations of Conics
391(6)
Plane Curves and Parametric Equations
397(18)
Chapter Review
410(4)
Project at Motorola
414(1)
Exponential and Logarithmic Functions
415(72)
Exponential Functions
416(14)
Logarithmic Functions
430(11)
Properties of Logarithms; Exponential and Logarithmic Models
441(13)
Logarithmic and Exponential Equations
454(4)
Compound Interest
458(9)
Growth and Decay; Newton's Law; Logistic Models
467(8)
Logarithmic Scales
475(12)
Chapter Review
480(6)
Project at Motorola
486(1)
Appendix A Review 487(73)
A.1 Algebra Review
487(10)
A.2 Geometry Review
497(5)
A.3 Solving Equations
502(11)
A.4 Complex Numbers; Quadratic Equations with a Negative Discriminant
513(8)
A.5 Inequalities
521(10)
A.6 nth Roots; Rational Exponents
531(6)
A.7 Lines
537(15)
A.8 Scatter Diagrams; Lines Curve Fitting
552(8)
Appendix B Graphing Utilities 560
B.1 The Viewing Rectangle
560(2)
B.2 Using a Graphing Utility to Graph Equations
562(4)
B.3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry
566(2)
B.4 Using a Graphing Utility to Solve Equations
568(3)
B.5 Square Screens
571(1)
B.6 Using a Graphing Utility to Graph a Polar Equation
572(1)
B.7 Using a Graphing Utility to Graph Parametric Equations
573
Answers AN1
Index I1


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