Title Untitled 1 Introduction to Trigonometry 1.1 Angle Measure and Special Triangles 1.2 Properties of Triangles; Similar Triangles Mid-Chapter Check Reinforcing Basic Concepts: More on Special Triangles 1.3 Trigonometry: A View from the Coordinate Plane 1.4 Fundamental Identities and Families of Identities Summary and Concept Review Mixed Review Practice Test Calculator Exploration and Discovery: The Range of Sine � and Cosine � Strengthening Core Skills: Creating New Identities 2 Right Triangles and Static Trigonometry 2.1 A Right Triangle View of Trigonometry 2.2 Solving Right Triangles Mid-Chapter Check Reinforcing Basic Concepts: The Area of a Triangle 2.3 Applications of Static Trigonometry 2.4 Extending Beyond Acute Angles Summary and Concept Review Mixed Review Practice Test Calculator Exploration and Discovery: Finding the Distance from the Earth to the Sun Strengthening Core Skills: Standard Angles, Reference Angles, and the Trig Functions Cumulative Review: Chapters 1–2 3 Radian Measure and Dynamic Trigonometry 3.1 Angle Measure in Radians 3.2 Arc Length, Velocity, and the Area of a Circular Sector Mid-Chapter Check Reinforcing Basic Concepts: More on Radians 3.3 The Unit Circle 3.4 The Trigonometry of Real Numbers Summary and Concept Review Mixed Review Practice Test Calculator Exploration and Discovery: Signs, Quadrants, and Reference Arcs Strengthening Core Skills: Trigonometry of the Real Numbers and the Wrapping Function Cumulative Review: Chapters 1–3 4 Trigonometric Graphs and Models 4.1 Graphs of the Sine and Cosine Functions 4.2 Graphs of the Cosecant, Secant, Tangent, and Cotangent Functions Mid-Chapter Check Reinforcing Basic Concepts: Trigonometric Potpourri 4.3 Transformations of Trigonometric Graphs 4.4 Trigonometric Applications and Models Summary and Concept Review Mixed Review Practice Test Calculator Exploration and Discovery: Variable Amplitudes and Modeling the Tides Strengthening Core Skills: Transformations via Composition Cumulative Review: Chapters 1–4 Modeling With Technology: Trigonometric Equation Models 5 Trigonometric Identities 5.1 More on Verifying Identities 5.2 The Sum and Difference Identities Mid-Chapter Check Reinforcing Basic Concepts: Understanding Identities 5.3 The Double-Angle and Half-Angle Identities 5.4 The Product-to-Sum and Sum-to-Product Identities Summary and Concept Review Mixed Review Practice Test Calculator Exploration and Discovery: Seeing the Beats as the Beats Go On Strengthening Core Skills: Identities—Connections and Relationships Cumulative Review: Chapters 1–5 6 Inverse Functions and Trigonometric Equations 6.1 One-to-One and Inverse Functions 6.2 The Inverse Trig Functions and Their Applications Mid-Chapter Check Reinforcing Basic Concepts: The Domains of Inverse Trig Functions 6.3 Solving Basic Trig Equations 6.4 Solving General Trig Equations and Applications Summary and Concept Review Mixed Review Practice Test Calculator Exploration and Discovery: Solving Equations Graphically Using a Graphing Calculator Strengthening Core Skills: Trigonometric Equations and Inequalities Cumulative Review: Chapters 1–6 7 Applications of Trigonometry 7.1 Oblique Triangles and the Law of Sines 7.2 The Law of Cosines; the Area of a Triangle Mid-Chapter Check Reinforcing Basic Concepts: Scaled Drawings and the Laws of Sine and Cosine 7.3 Vectors and Vector Diagrams 7.4 Vector Applications and the Dot Product Summary and Concept Review Mixed Review Practice Test Calculator Exploration and Discovery: Investigating Projectile Motion Strengthening Core Skills: Vectors and Static Equilibrium Cumulative Review: Chapters 1–7 8 Trigonometric Connections to Algebra 8.1 Complex Numbers 8.2 Complex Numbers in Trigonometric Form 8.3 De Moivre’s Theorem and the Theorem on nth Roots Mid-Chapter Check Reinforcing Basic Concepts: More on the Imaginary Unit 8.4 Polar Coordinates, Equations, and Graphs 8.5 Parametric Equations and Graphs Summary and Concept Review Mixed Review Practice Test Calculator Exploration and Discovery: Parametric Equations and Dependent Systems Strengthening Core Skills: Complex Numbers, Sum and Difference Identities, and Euler’s Formula Cumulative Review: Chapters 1–8 Appendix I Exponential and Logarithmic Functions A- Appendix II Transformations of a Basic Graph A- Appendix III Solving Equations Graphically A- Appendix IV Regression and Calculator Use A- Appendix V Miscellaneous Algebra Review A- Appendix VI Selected Proofs A- Appendix VII Families of Polar Curves A-
Three components contribute to a theme sustained throughout the Coburn Series: that of laying a firm foundation, building a solid framework, and providing strong connections. Not only does Coburn present a sound problem-solving process to teach students to recognize a problem, organize a procedure, and formulate a solution, the text encourages students to see beyond procedures in an effort to gain a greater understanding of the big ideas behind mathematical concepts.
Written in a readable, yet mathematically mature manner appropriate for college level students, Coburn’s Trigonometry uses narrative, extensive examples, and a range of exercises to connect seemingly disparate mathematical topics into a cohesive whole. Coburn’s hallmark applications are born out of the author’s extensive experiences in and outside the classroom, and appeal to the vast diversity of students and teaching methods in this course area.
Benefiting from the feedback of hundreds of instructors and students across the country, Trigonometry, Second Edition, continues to emphasize connections in order to improve the level of student engagement in mathematics and increase their chances of success in trigonometry.
Emphasizes the connections in order to improve the level of student engagement in mathematics and increase their chances of success in college algebra.
