I need all the students to realize that mathematics really cannot be done without pencil and paper in hand. Examples and exercises appear throughout the course which you should attempt to work out alone before checking the answers. To benefit to the fullest, do not look at the solutions before working through problems on your own.
What can you do with trig? Historically, it was developed for astronomy and geography, but scientists have been using it for centuries for other purposes, too. Besides other fields of mathematics, trig is used in physics, engineering, and chemistry. Within mathematics, trig is used in primarily in calculus (which is perhaps its greatest application), linear algebra, and statistics. Since these fields are used throughout the natural and social sciences, trig is a very useful subject to know.
Ch.1: Right Triangle and Intro to Trigonometry
Ch.2: Graphing Trigonometric Functions
Ch.3: Trigonometric Identities and Equations
Ch.4: Inverse Trigonometric Functions
Ch.5: Triangles and Vectors
Ch.6: The Polar System