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The following
animations offer a comparison of polar
and Cartesian graphing.
Graphing
calculators and computer software
permit construction of complicated
graphs within seconds.
However, one must often take a
polar equation and
write it in parametric
form. If your
grapher does not have a built-in
polar graphing command, then take
the polar equation and write as
follows:
In GeoGebra it is easy to alter
all variables and constant terms
while watching the dynamically
changing curve. Finally, it
is possible to watch an animation
using color.
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Click on the image
to see the equation. |
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These curves are created
with GeoGebra, a free software
that allows users to work with
Algebra, Geometry, Trigonometry,
Statistics and Calculus.
They are graphs of polar
functions of the form
where a, b, and c are real
numbers and i, k, and m are
positive integers. Some of
these graphs are not obtainable
on hand-held graphing
calculators with lower
resolution displays.
Slides 7 and 8 are rotated 90
degrees counterclockwise from
the original graphs.
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