Overview

TRIGONOMETRY, 2E, International Edition is designed to help you learn to 'think mathematically.' With this text, you can stop merely memorizing facts and mimicking examples and instead develop true, lasting problem-solving skills. Clear and easy to read, TRIGONOMETRY, 2E, International Edition illustrates how trigonometry is used and applied in the real world, and helps you understand how it can apply to your own life.

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9781133110743

Table of Contents

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1. FUNCTIONS AND GRAPHS. Coordinate Geometry. Lines. What is a Function? Graphs of Functions. Getting Information from the Graph of a Function. Transformations of Functions. Combining Functions. One-to-One Functions and Their Inverses. Focus on Modeling: Fitting Lines to Data. 2. TRIGONOMETRIC FUNCTIONS: UNIT CIRCLE APPROACH. The Unit Circle. Trigonometric Functions of Real Numbers. Trigonometric Graphs. More Trigonometric Graphs. Inverse Trigonometric Functions and Their Graphs. Modeling Harmonic Motion. Focus on Modeling: Fitting Sinusoidal Curves to Data. 3. TRIGONOMETRIC FUNCTIONS: RIGHT TRIANGLE APPROACH. Angle Measure. Trigonometry of Right Triangles. Trigonometric Functions of Angles. Inverse Trigonometric Functions and Triangles. The Law of Sines. The Law of Cosines. Focus on Modeling: Surveying. 4. ANALYTIC TRIGONOMETRY. Trigonometric Identities. Addition and Subtraction Formulas. Double-Angle, Half-Angle, and Product-Sum Formulas. Basic Trigonometric Equations. More Trigonometric Equations. Focus on Modeling: Traveling and Standing Waves. 5. POLAR COORDINATES AND PARAMETRIC EQUATIONS. Polar Coordinates. Graphs of Polar Equations. Polar Form of Complex Numbers; DeMoivre's Theorem. Plane Curves and Parametric Equations. Focus on Modeling: The Path of a Projectile. 6. VECTORS IN TWO AND THREE DIMENSIONS. Vectors in Two Dimensions. The Dot Product. Three-Dimensional Coordinate Geometry. Vectors in Three Dimensions. The Cross Product. Equations of Lines and Planes. Focus on Modeling: Vector Fields. 7. CONIC SECTIONS. Parabolas. Ellipses. Hyperbolas. Shifted Conics. Rotation of Axes. Polar Equations of Conics. Focus on Modeling: Conics in Architecture. 8. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential Functions. The Natural Exponential Function. Logarithmic Functions. Laws of Logarithms. Exponential and Logarithmic Equations. Modeling with Exponential and Logarithmic Functions. Damped Harmonic Motion. Focus on Modeling: Fitting Exponential and Power Curves to Data. APPENDIX A: Algebra Review. Real Numbers. Exponents and Radicals. Algebraic Expressions. Equations. Inequalities. APPENDIX B: Geometry Review. Congruence and Similarity of Triangles. The Pythagorean Theorem. APPENDIX C: Graphing Calculators. Using a Graphing Calculator. Solving Equations and Inequalities Graphically.

Author Information

The late James Stewart received his M.S. from Stanford University and his Ph.D. from the University of Toronto. He did research at the University of London and was influenced by the famous mathematician George Polya at Stanford University. Stewart was most recently Professor of Mathematics at McMaster University, and his research field was harmonic analysis. Stewart was the author of a best-selling calculus textbook series published by Cengage Learning, including CALCULUS, CALCULUS: EARLY TRANSCENDENTALS, and CALCULUS: CONCEPTS AND CONTEXTS, as well as a series of precalculus texts. The late Lothar Redlin grew up on Vancouver Island, received a Bachelor of Science degree from the University of Victoria, and a Ph.D. from McMaster University in 1978. He subsequently did research and taught at the University of Washington, the University of Waterloo, and California State University, Long Beach. He was most recently Professor of Mathematics at The Pennsylvania State University, Abington Campus. His research field was topology. Saleem Watson received his Bachelor of Science degree from Andrews University in Michigan. He did graduate studies at Dalhousie University and McMaster University, where he received his Ph.D. in 1978. He subsequently did research at the Mathematics Institute of the University of Warsaw in Poland. He also taught at The Pennsylvania State University. He is currently Professor of Mathematics at California State University, Long Beach. His research field is functional analysis. Watson is a co-author on Stewart's best-selling Calculus franchise.

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