Analytic Trigonometry with Applications, 11th Edition

, by Barnett, Raymond A.; Ziegler, Michael R.; Byleen, Karl E.

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ISBN: 9780470648056 | 0470648058
Cover: Hardcover
Copyright: 11/22/2011

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The 11th edition of Analytic Trigonometry continues to offer readers trigonometric concepts and applications. Almost every concept is illustrated by an example followed by a matching problem to encourage an active involvement in the learning process, and concept development proceeds from the concrete to the abstract. Extensive chapter review summaries, chapter and cumulative review exercises with answers keyed to the corresponding text sections, effective use of color comments and annotations, and prominent displays of important material to help master the subject. Analytic Trigonometry, 11e includes updated applications from a range of different fields.

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Right Triangle Ratios	p. 1
Angles, Degrees, and Arcs	p. 2
Similar Triangles	p. 13
Trigonometric Ratios and Right Triangles	p. 22
Right Triangle Applications	p. 33
Group Activity: A Logistics Problem	p. 44
Review	p. 45
Trigonometric Functions	p. 51
Degrees and Radians	p. 52
Linear and Angular Velocity	p. 65
Trigonometric Functions: Unit Circle Approach	p. 72
Additional Applications	p. 84
Exact Values and Properties of Trigonometric Functions	p. 98
Group Activity: Speed of Light in Water	p. 112
Review	p. 114
Graphing Trigonometric Functions	p. 121
Basic Graphs	p. 123
Graphing and	p. 138
Graphing and	p. 157
Additional Applications	p. 172
Graphing the Sum of Functions	p. 187
Tangent, Cotangent, Secant, and Cosecant Functions Revisited	p. 199
Group Activity: Predator-Prey Analysis Involving Coyotes and Rabbits	p. 211
Review 212 Cumulative Review Exercise, Chapters 1-3	p. 220
Identities	p. 227
Fundamental Identities and Their Use	p. 228
Verifying Trigonometric Identities	p. 235
Sum, Difference, and Cofunction Identities	p. 245
Double-Angle and Half-Angle Identities	p. 256
Product-Sum and Sum-Product Identities	p. 267
Group Activity: From to	p. 275
Review	p. 277
Inverse Trigonometric Functions; Trigonometric Equations And Inequalities	p. 285
Inverse Sine, Cosine, and Tangent Functions	p. 286
Inverse Cotangent, Secant, and Cosecant Functions	p. 307
Trigonometric Equations: An Algebraic Approach	p. 314
Trigonometric Equations and Inequalities: A Graphing Calculator Approach	p. 327
Group Activity: and	p. 336
Review 337 Cumulative Review Exercise, Chapters 1-5	p. 343
Additional Topics: Triangles And Vectors	p. 349
Law of Sines	p. 350
Law of Cosines	p. 365
Areas of Triangles	p. 376
Vectors	p. 383
The Dot Product	p. 399
Group Activity: The SSA Case and the Law of Cosines	p. 409
Review	p. 410
Polar Coordinates; Complex Numbers	p. 421
Polar and Rectangular Coordinates	p. 422
Sketching Polar Equations	p. 431
The Complex Plane	p. 444
De Moivre's Theorem and the nth-Root Theorem	p. 453
Group Activity: Orbits of Planets	p. 461
Review	p. 463
Cumulative Review Exercise, Chapters 1-7	p. 467
Comments On Numbers	p. 473
Real Numbers	p. 474
Complex Numbers	p. 477
Significant Digits	p. 481
Functions And Inverse Functions	p. 489
Functions	p. 490
Graphs and Transformations	p. 497
Inverse Functions	p. 508
Plane Geometry: Some Useful Facts	p. 515
Lines and Angles	p. 516
Triangles	p. 517
Quadrilaterals	p. 519
Circles	p. 520
Selected Answers	p. A-1
Index	p. I-1
Table of Contents provided by Publisher. All Rights Reserved.

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Analytic Trigonometry with Applications, 11th Edition

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