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Mistake Master · AP Precalculus · Unit 3 · Step-Through Animation

Unroll the Circle, Get the Wave

You'll learnto unroll a point going around the circle into the sine wave.

A point rides counterclockwise around a circle of radius 1. Carry its height out to the right as the angle grows and the sine curve draws itself; carry its across instead and you get cosine. Twelve short steps; press Next for each one.

12 STEPS · 6 QUICK CHECKS · HEIGHT → SINE · ACROSS → COSINE · RADIANS · v4

the circle is the definition, the wave is the recording
Before you start
What you're looking at
A point riding a circle of radius 1, and an empty pair of axes waiting beside it.
The question
As the angle grows, what does the graph on the right end up recording?
Step 1 / 12