Description
Trigonometry 11th Edition by Ron Larson, ISBN-13: 978-0357455210
[PDF eBook eTextbook] – Available Instantly
- Publisher: Cengage Learning; 11th edition (January 20, 2021)
- Language: English
- 592 pages
- ISBN-10: 0357455215
- ISBN-13: 978-0357455210
Larson’s TRIGONOMETRY incorporates real-world applications, ongoing review, and innovative technology. How Do You See It? exercises give you practice applying the concepts, and new Summarize features and Checkpoint problems reinforce understanding of the skill sets to help you better prepare for tests. Free access to homework support websites CalcChat.com, CalcView.com and LarsonPrecalculus.com are there when you need them. If you are struggling with previously learned math skills, work on the Review & Refresh exercises and watch the Skills Review videos.
Table of Contents:
Prerequisites 1
P.1 Review of Real Numbers and Their Properties 2
P.2 Solving Equations 14
P.3 The Cartesian Plane and Graphs of Equations 26
P.4 Linear Equations in Two Variables 40
P.5 Functions 53
P.6 Analyzing Graphs of Functions 67
P.7 A Library of Parent Functions 78
P.8 Transformations of Functions 85
P.9 Combinations of Functions: Composite Functions 94
P.10 Inverse Functions 102
Summary and Study Strategies 111
Review Exercises 114
Chapter Test 117
Proofs in Mathematics 118
P.S. Problem Solving 119
Trigonometry 121
1.1 Radian and Degree Measure 122
1.2 Trigonometric Functions: The Unit Circle 132
1.3 Right Triangle Trigonometry 139
1.4 Trigonometric Functions of Any Angle 150
1.5 Graphs of Sine and Cosine Functions 159
1.6 Graphs of Other Trigonometric Functions 170
1.7 Inverse Trigonometric Functions 180
1.8 Applications and Models 190
Summary and Study Strategies 200
Review Exercises 202
Chapter Test 205
Proofs in Mathematics 206
P.S. Problem Solving 207
Analytic Trigonometry 209
2.1 Using Fundamental Identities 210
2.2 Verifying Trigonometric Identities 217
2.3 Solving Trigonometric Equations 224
2.4 Sum and Difference Formulas 236
2.5 Multiple-Angle and Product-to-Sum Formulas 243
Summary and Study Strategies 252
Review Exercises 254
Chapter Test 256
Proofs in Mathematics 257
Additional Topics in Trigonometry 261
3.1 Law of Sines 262
3.2 Law of Cosines 271
3.3 Vectors in the Plane 278
3.4 Vectors and Dot Products 291
Summary and Study Strategies 300
Review Exercises 302
Chapter Test 305
Cumulative Test for Chapters 1–3 306
Proofs in Mathematics 308
P.S. Problem Solving 311
Complex Numbers 313
4.1 Complex Numbers 314
4.2 Complex Solutions of Equations 321
4.3 The Complex Plane 329
4.4 Trigonometric Form of a Complex Number 336
4.5 DeMoivre’s Theorem 342
Summary and Study Strategies 348
Review Exercises 350
Chapter Test 353
Proofs in Mathematics 354
P.S. Problem Solving 355
Exponential and Logarithmic Functions 357
5.1 Exponential Functions and Their Graphs 358
5.2 Logarithmic Functions and Their Graphs 369
5.3 Properties of Logarithms 379
5.4 Exponential and Logarithmic Equations 386
5.5 Exponential and Logarithmic Models 396
Summary and Study Strategies 408
Review Exercises 410
Chapter Test 413
Proofs in Mathematics 414
Topics in Analytic Geometry 417
6.1 Lines 418
6.2 Introduction to Conics: Parabolas 425
6.3 Ellipses 434
6.4 Hyperbolas 443
6.5 Rotation of Conics 453
6.6 Parametric Equations 461
6.7 Polar Coordinates 471
6.8 Graphs of Polar Equations 477
6.9 Polar Equations of Conics 485
Summary and Study Strategies 492
Review Exercises 494
Chapter Test 497
Cumulative Test for Chapters 4–6 498
Proofs in Mathematics 500
P.S. Problem Solving 503
Appendix A
Concepts in Statistics (online)*
A.1 Representing Data
A.2 Analyzing Data
A.3 Modeling Data
Answers to Odd-Numbered Exercises and Tests A1
Index A79
Index of Applications
Dr. Ron Larson is a professor of mathematics at the Pennsylvania State University, where he has taught since 1970. He is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored more than 30 software titles since 1990. Dr. Larson has also authored numerous acclaimed textbooks, including the best-selling calculus series coauthored with Dr. Bruce Edwards and published by Cengage. Dr. Larson received the 2017 William Holmes McGuffey Longevity Award for PRECALCULUS and for CALCULUS. He also received the 2018 Text and Academic Authors Association TEXTY Award for CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS. In addition, Dr. Larson received the 1996 Text and Academic Authors Association TEXTY Award for INTERACTIVE CALCULUS — a complete text on CD-ROM that was the first mainstream college textbook to be offered on the internet.
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