Trigonometry

Book description: This is a text on elementary trigonometry, designed for students who have completed courses in high-school algebra and geometry. Though designed for college students, it could also be used in high schools. The traditional topics are covered, but a more geometrical approach is taken than usual. Also, some numerical methods (e.g. the secant method for solving trigonometric equations) are discussed. A brief tutorial on using Gnuplot to graph trigonometric functions is included. There are 495 exercises in the book, with answers and hints to selected exercises. TABLE OF CONTENTS Right Triangle Trigonometry Angles Trigonometric Functions of an Acute Angle Applications and Solving Right Triangles Trigonometric Functions of Any Angle Rotations and Reflections of Angles General Triangles The Law of Sines The Law of Cosines The Law of Tangents The Area of a Triangle Circumscribed and Inscribed Circles Identities Basic Trigonometric Identities Sum and Difference Formulas Double-Angle and Half-Angle Formulas Other Identities Radian Measure Radians and Degrees Arc Length Area of a Sector Circular Motion: Linear and Angular Speed Graphing and Inverse Functions Graphing the Trigonometric Functions Properties of Graphs of Trigonometric Functions Inverse Trigonometric Functions Additional Topics Solving Trigonometric Equations Numerical Methods in Trigonometry Complex Numbers Polar Coordinates Appendix A: Answers and Hints to Selected Exercises Appendix B: Graphing with Gnuplot GNU Free Documentation License History Index