Fundamentals of Trigonometry - Tapa dura

1. TOPICS FROM ALGEBRA Real Numbers / Rectangular Coordinate Systems and Graphs / Functions / Graphs of Functions / Inverse Functions / Exponential and Logarithmic Functions / Review Exercises / Discussion Exercises 2. THE TRIGONOMETRIC FUNCTIONS Angles / The Trigonometric Functions / Graphs of the Trigonometric Functions / Trigonometric Functions of Angles / Values of the Trigonometric Functions / Trigonometric Graphs / Additional Trigonometric Graphs / Applied Problems / Review Exercises / Discussion Exercises 3. ANALYTIC TRIGONOMETRY Verifying Trigonometric Identities / Trigonometric Equations / The Addition and Subtraction Formulas / Multiple-Angle Formulas / Product-to-Sum and Sum-to-Product Formulas / The Inverse Trigonometric Functions / Review Exercises / Discussion Exercises 4. APPLICATIONS OF TRIGONOMETRY The Law of Sines / The Law of Cosines / Trigonometric Form for Complex Numbers / De Moivre's Theorem and nth Roots of Complex Numbers / Vectors / The Dot Product / Review Exercises / Discussion Exercises 5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS Exponential Functions / The Natural Exponential Function / Logarithmic Functions / Properties of Logarithms / Exponential and Logarithmic Equations / Review Exercises / Discussion Exercises 6. TOPICS FROM ANALYTIC GEOMETRY Parabolas / Ellipses / Hyperbolas / Plane Curves and Parametric Equations / Polar Coordinates / Polar Equations of Conics / Chapter 6 Review Exercises / Chapter 6 Discussion Exercises / APPENDIX I: USING A TI-82/83 GRAPHING CALCULATOR / APPENDIX II: COMMON GRAPHS AND THEIR EQUATIONS / APPENDIX III: A SUMMARY OF GRAPH TRANSFORMATIONS / APPENDIX IV: GRAPHS OF TRIGONOMETRIC FUNCTIONS AND THEIR INVERSES / APPENDIX V: COMPLEX NUMBERS / ANSWERS TO SELECTED EXERCISES / INDEX OF APPLICATIONS / INDEX

Completing the time-proven Swokowski/Cole precalculus series, this book helps students learn, understand, and appreciate trigonometry without compromising mathematical integrity. The book takes a unit-circle first approach to trigonometry and incorporates the use of the graphing calculator. Numerous application problems help motivate students toward success in learning trigonometry.