Analytic Trigonometry with Applications, 11th Edition

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  • Edition: 11th
  • Format: Hardcover
  • Copyright: 2011-11-01
  • Publisher: Wiley

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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.

Table of Contents

Right Triangle Ratiosp. 1
Angles, Degrees, and Arcsp. 2
Similar Trianglesp. 13
Trigonometric Ratios and Right Trianglesp. 22
Right Triangle Applicationsp. 33
Group Activity: A Logistics Problemp. 44
Reviewp. 45
Trigonometric Functionsp. 51
Degrees and Radiansp. 52
Linear and Angular Velocityp. 65
Trigonometric Functions: Unit Circle Approachp. 72
Additional Applicationsp. 84
Exact Values and Properties of Trigonometric Functionsp. 98
Group Activity: Speed of Light in Waterp. 112
Reviewp. 114
Graphing Trigonometric Functionsp. 121
Basic Graphsp. 123
Graphing andp. 138
Graphing andp. 157
Additional Applicationsp. 172
Graphing the Sum of Functionsp. 187
Tangent, Cotangent, Secant, and Cosecant Functions Revisitedp. 199
Group Activity: Predator-Prey Analysis Involving Coyotes and Rabbitsp. 211
Review 212 Cumulative Review Exercise, Chapters 1-3p. 220
Identitiesp. 227
Fundamental Identities and Their Usep. 228
Verifying Trigonometric Identitiesp. 235
Sum, Difference, and Cofunction Identitiesp. 245
Double-Angle and Half-Angle Identitiesp. 256
Product-Sum and Sum-Product Identitiesp. 267
Group Activity: From top. 275
Reviewp. 277
Inverse Trigonometric Functions; Trigonometric Equations And Inequalitiesp. 285
Inverse Sine, Cosine, and Tangent Functionsp. 286
Inverse Cotangent, Secant, and Cosecant Functionsp. 307
Trigonometric Equations: An Algebraic Approachp. 314
Trigonometric Equations and Inequalities: A Graphing Calculator Approachp. 327
Group Activity: andp. 336
Review 337 Cumulative Review Exercise, Chapters 1-5p. 343
Additional Topics: Triangles And Vectorsp. 349
Law of Sinesp. 350
Law of Cosinesp. 365
Areas of Trianglesp. 376
Vectorsp. 383
The Dot Productp. 399
Group Activity: The SSA Case and the Law of Cosinesp. 409
Reviewp. 410
Polar Coordinates; Complex Numbersp. 421
Polar and Rectangular Coordinatesp. 422
Sketching Polar Equationsp. 431
The Complex Planep. 444
De Moivre's Theorem and the nth-Root Theoremp. 453
Group Activity: Orbits of Planetsp. 461
Reviewp. 463
Cumulative Review Exercise, Chapters 1-7p. 467
Comments On Numbersp. 473
Real Numbersp. 474
Complex Numbersp. 477
Significant Digitsp. 481
Functions And Inverse Functionsp. 489
Functionsp. 490
Graphs and Transformationsp. 497
Inverse Functionsp. 508
Plane Geometry: Some Useful Factsp. 515
Lines and Anglesp. 516
Trianglesp. 517
Quadrilateralsp. 519
Circlesp. 520
Selected Answersp. A-1
Indexp. I-1
Table of Contents provided by Publisher. All Rights Reserved.

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