Trigonometry

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.

Table of Contents:
Coburn and Herdlick Trigonometry, 2e Chapter 1: Introduction to Trigonometry 1.1Angle Measure and Special Triangles 1.2Properties of Triangles; Similar Triangles Mid-Chapter Check RBC: More on Special Triangles 1.3Trigonometry: A View from the Coordinate Plane 1.4Fundamental Identities and Families of Identities Summary/Concept Rev, Mixed Rev, Practice Test Calc Exploration and Discovery: The Range of Sine, Cosine, and Tangent SCS: Creating New Identities Chapter 2: Right Triangles & Static Trigonometry 2.1A Right Triangle View of Trigonometry 2.2Solving Right Triangles Mid-Chapter Check RBC: The Area of a Triangle 2.3Applications of Static Trigonometry 2.4Extending Beyond Acute Angles Summary/Concept Rev, Mixed Rev, Practice Test Calc Exploration and Discovery: Solving Triangles SCS: Standard Angles, Reference Angles, and the Trig Functions Cumulative Review 1 - 2 Chapter 3: Radian Measure & Dynamic Trigonometry 3.1Angle Measure in Radians 3.2Arc Lengths, Velocities, and the Area of a Circular Sector Mid-Chapter Check RBC: More on Radians 3.3The Unit Circle 3.4The Trigonometry of Real Numbers Summary/Concept Rev, Mixed Rev, Practice Test Calc Exploration and Discovery: Signs, Quadrants and Reference Arcs SCS: Trigonometry of the Real Numbers and the Wrapping Function Cumulative Review 1 - 3 Chapter 4: Trigonometric Graphs and Models 4.1Graphs of Sine and Cosine Functions 4.2Graphs of Cosecant, Secant, Tangent and Cotangent Functions Mid-Chapter Check RBC: Trigonometric Potpourri 4.3 Transformations of Trigonometric Graphs 4.4Trigonometric Applications and Models Summary/Concept Rev, Mixed Rev, Practice Test Calc Exploration and Discovery SCS Cumulative Review 1 – 4 Modeling With Technology: Trigonometric Equation Models Chapter 5: Trigonometric Identities 5.1More on Verifying Identities 5.2The Sum and Difference Identities Mid-Chapter Check RBC: Understanding Identities 5.3The Double Angle and Half Angle Identities 5.4The Product-to-Sum and Sum-to-Product Identities Summary/Concept Rev, Mixed Rev, Practice Test Calc Exploration and Discovery SCS Cumulative Review 1 - 5 Chapter 6: Inverse Functions and Trigonometric Equations 6.1One-to-One and Inverse Functions 6.2Inverse Trigonometric Functions and their Applications Mid -Chapter Check RBC: More on Equation Solving 6.3Solving Basic Trigonometric Equations 6.4General Trigonometric Equations and Applications Summary/Concept Rev, Mixed Rev, Practice Test Calc Exploration and Discovery SCS: Trigonometric Equations and Inequalities Cumulative Review 1 - 6 Chapter 7: Applications of Trigonometry 7.1Oblique Triangles and the Law of Sines 7.2The Law of Cosines; the Area of a Triangle Mid -Chapter Check RBC 7.3Vectors and Vector Diagrams 7.4Vectors Applications and the Dot Product Summary/Concept Rev, Mixed Rev, Practice Test Calc Exploration and Discovery SCS Cumulative Review 1 - 7 Chapter 8: Trigonometric Connections to Algebra 8.1Complex Numbers 8.2Complex Numbers in Trigonometric Form 8.3Demoivre’s Theorem and the nth Roots Theorem Mid-Chapter Check RBC 8.4Polar Coordinates and Equations 8.5Graphs of Polar Equations 8.6Parametric Equations and Graphs Summary/Concept Rev, Mixed Rev, Practice Test Calc Exploration and Discovery SCS Cumulative Review 1 – 8 Appendices A.1Exponential and Logarithmic Functions A.2 Review and Technology •Miscellaneous Algebra Review •Transformations of Basic Graphs •Solving Equations Graphically •Regression and Calculator Use •Families of Polar Graphs

About the Author :
John Coburn grew up in the Hawaiian Islands, the seventh of sixteen children. He received his Associate of Arts degree in 1977 from Windward Community College, where he graduated with honors. In 1979 he received a Bachelor’s Degree in Education from the University of Hawaii. After being lured into the business world for five years, he returned to his first love, accepting a teaching position in high school mathematics where he was recognized as Teacher of the Year in 1987. Soon afterward, the decision was made to seek a Masters Degree, which he received two years later from the University of Oklahoma. For the last fifteen years, he has been teaching mathematics at the Florissant Valley campus of St. Louis Community College, where he is now a full professor. During his tenure there he has received numerous nominations as an outstanding teacher by the local chapter of Phi Theta Kappa, two nominations to Who’s Who Among America’s Teachers and was recognized as Teacher of the year in 2004 by the Mathematics Educators of Greater St. Louis (MEGSL). He has made numerous presentations and local, state and national conferences on a wide variety of topics. His other loves include his family, music, athletics, games and all things beautiful, and hopes this love of life comes through in his writing, and serves to make the learning experience an interesting and engaging one for all students.