Mathematics
High School (11–12)
Trigonometry › Compound and Multiple AnglesTrigonometry › Angles and Radian MeasureTrigonometry › Trigonometric Functions and GraphsTrigonometry › Trigonometric IdentitiesTrigonometry › Trigonometric EquationsChapter 2Contains Standard contentTrigonometric Functions
A Ferris wheel turns, a tide rises and falls, a guitar string shakes. Each motion repeats itself, and the trigonometric functions describe all of them. In this chapter you measure angles in radians, extend sine, cosine and tangent to angles of any size with the unit circle, draw their graphs, and prove the formulas for the sum and the difference of two angles. Python draws the graphs and checks each identity at thousands of angles.
Part of Mathematics · High School (11–12) (chapter 2)
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Angles and Radian Measure
Turn an angle past 360 degrees, or backwards, and measure it in radians, the natural unit of a circle. Then use radians to find arcs and sectors of wheels, clocks and tracks.
Trigonometric Functions and Their Graphs
Define sine and cosine for every angle with the unit circle. Find their signs, values and periods, and draw the graphs of all six functions, with their stretches and shifts.