The Trigonometric Functions
You learn trigonometry from the ground up -- how angles are measured, the unit circle that defines sine and cosine, right-triangle trig, and the graphs of all six functions and their inverses.
Class 1Angles and their measure
Two ways to measure an angle, and moving between them.
Class 2The unit circle and the trig functions
The circle that defines sine, cosine and the rest.
Class 3Right triangle trigonometry
Sine, cosine and tangent as ratios of a triangle's sides.
Class 4Values of the trig functions
The exact values you should know by heart.
Class 5Properties of the trig functions
What repeats, and what is symmetric.
Class 6Graphs of sine and cosine
The waves that describe anything that repeats.
Class 7Graphs of the other four functions
Tangent and the reciprocals, and their breaks.
Class 8Sinusoidal graphs: amplitude, period, phase
Stretching and shifting a wave to fit real data.
Class 9Inverse trig functions
Going from a value back to the angle.
Class 10More on inverse trig functions
Using the inverse functions together with the direct ones.
Class 11Modeling with sinusoidal functions
Describing real things that rise and fall.
Class 12Semester 1 review: the trig functions
Pulling the functions, values and graphs together.