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Thank you for your interest in our book, but more importantly, thank you for taking the time to read the Preface. I always read the Prefaces of the textbooks which I use in my classes because I believe it is in the Preface where I begin to understand the authors - who they are, what their motivation for writing the book was, and what they hope the reader will get out of reading the text. Pedagogical issues such as content organization and how professors and students should best use a book can usually be gleaned out of its Table of Contents, but the reasons behind the choices authors make should be shared in the Preface. Also, I feel that the Preface of a textbook should demonstrate the authors’ love of their discipline and passion for teaching, so that I come away believing that they really want to help students and not just make money. Thus, I thank my fellow Preface-readers again for giving me the opportunity to share with you the need and vision which guided the creation of this book and passion which both Carl and I hold for Mathematics and the teaching of it.
Foundations of Trigonometry
Angles and their Measure
Applications of Radian Measure: Circular Motion
The Unit Circle: Cosine and Sine
Beyond the Unit Circle
The Six Circular Functions and Fundamental Identities
Beyond the Unit Circle
Trigonometric Identities
Graphs of the Trigonometric Functions
Graphs of the Cosine and Sine Functions
Graphs of the Secant and Cosecant Functions
Graphs of the Tangent and Cotangent Functions
The Inverse Trigonometric Functions
Inverses of Secant and Cosecant: Trigonometry Friendly Approach
Inverses of Secant and Cosecant: Calculus Friendly Approach
Calculators and the Inverse Circular Functions
Solving Equations Using the Inverse Trigonometric Functions
Trigonometric Equations and Inequalities
Applications of Trigonometry
Applications of Sinusoids
Harmonic Motion
The Law of Sines
The Law of Cosines
Polar Coordinates
Graphs of Polar Equations
Hooked on Conics Again
Rotation of Axes
The Polar Form of Conics
Polar Form of Complex Numbers
Vectors
The Dot Product and Projection
Parametric Equations
Index