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Trigonometry

ISBN: 9780201703382 | 0201703386
Format: Hardcover
Publisher: Addison Wesley
Pub. Date: 1/1/2003

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SummaryTable of Contents
This text is designed for a variety of students with different mathematical needs. For those students who will take additional mathematics, the text will provide the proper foundation of skills, understanding, and insights necessary for success in further courses. For those students who will not pursue further mathematics, the extensive emphasis on applications and modeling will demonstrate the usefulness and applicability of mathematics in the world today. Many of the applied problems in this text are actually real problems that people have ha... MORE
Prefacevii
List of Supplements
xi
Index of Applicationsxv
P ALGEBRAIC PREREQUISITES
... MORE
The Cartesian Coordinate System
2(10)
Functions
12(7)
Families of Functions, Transformations, and Symmetry
19(10)
Compositions and Inverses
29(13)
Chapter P Highlights
38(1)
Chapter P Review Exercises
39(1)
Chapter P Test
40(2)
Angles and The Trigonometric Functions
Angles and Degree Measure
42(10)
Radian Measure, Arc Length, and Area
52(11)
Angular and Linear Velocity
63(6)
The Trigonometric Functions
69(12)
The Fundamental Identity and Reference Angles
81(8)
Right Triangle Trigonometry
89(20)
Chapter 1 Highlights
104(1)
Chapter 1 Review Exercises
105(2)
Chapter 1 Test
107(2)
Graphs of the Trigonometric Functions
Graphs of the Sine and Cosine Functions
109(15)
The General Sine Wave
124(13)
Graphs of the Tangent and Cotangent Functions
137(11)
Graphs of the Secant and Cosecant Functions
148(7)
Combining Functions
155(10)
Chapter 2 Highlights
160(1)
Chapter 2 Review Exercises
161(1)
Chapter 2 Test
162(1)
Tying It All Together
163(2)
Trigonometric Identities
Basic Identities
165(10)
Verifying Identities
175(8)
Sum and Difference Identities for Cosine
183(8)
Sum and Difference Identities for Sine and Tangent
191(6)
Double-Angle and Half-Angle Identities
197(10)
Product and Sum Identities
207(16)
Chapter 3 Highlights
218(1)
Chapter 3 Review Exercises
219(2)
Chapter 3 Test
221(1)
Tying It All Together
221(2)
Solving Conditional Trigonometric Equations
The Inverse Trigonometric Functions
223(13)
Basic Sine, Cosine, and Tangent Equations
236(12)
Multiple Angle Equations
248(6)
Trigonometric Equations of Quadratic Type
254(12)
Chapter 4 Highlights
262(1)
Chapter 4 Review Exercises
263(1)
Chapter 4 Test
264(1)
Tying It All Together
264(2)
Applications of Trigonometry
The Law of Sines
266(13)
The Law of Cosines
279(10)
Area of a Triangle
289(8)
Vectors
297(26)
Chapter 5 Highlights
318(1)
Chapter 5 Review Exercises
319(1)
Chapter 5 Test
320(1)
Tying It All Together
321(2)
Complex Numbers, Polar Coordinates, and Parametric Equations
Complex Numbers
323(8)
Trigonometric Form of Complex Numbers
331(10)
Powers and Roots of Complex Numbers
341(6)
Polar Equations
347(13)
Parametric Equations
360(5)
Chapter 6 Highlights
365(2)
Chapter 6 Review Exercises
367(1)
Chapter 6 Test
368(1)
Tying It All Together
368
Answers to Selected Exercises1(1)
Credits1(1)
Index1

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