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Plot a polar curve given the radius?

asked 2013-09-07 10:37:33 +0200

bxdin gravatar image

updated 2015-01-14 10:51:11 +0200

FrédéricC gravatar image

Essentially, a question reads: Graph the polar curve r = 4cos(2?), where ? is a radian angle.

The graph of the curve looks like a 4 leafed clover.

The following function, r=3cos(?), looks like a circle centered at (3/2, 0).

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answered 2013-09-07 12:49:28 +0200

tmonteil gravatar image

updated 2013-09-07 12:54:38 +0200

You can use the polar_plot() function as follows:

sage: polar_plot(3*cos(2*x), (x, 0, 2*pi))


sage: polar_plot(3*cos(x), (x, 0, 2*pi)


sage: polar_plot?

for more deatils. Also, note that polar_plot(XXX) is just a shortcut for plot(XXX, polar=True).

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Asked: 2013-09-07 10:37:33 +0200

Seen: 249 times

Last updated: Sep 07 '13