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