Coding challenge

Write some code that will generate a random number between 0 and $2\pi$, then take the sin of it. Something like

r=2.0*math.pi*math.random()
y=sin(r)

should do it. Generate 1,000 of these y's and find the average of them. Can you explain your result? What about $\sin(2r)$? $\sin(100r)$?

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