Conclusions About Polar
Equations

The k variable controls
the number of petals on the rose.
If it is an even integer,
the rose petals will be symmetrical on the x and y axes.
The number of petals
will be double the value of k if the b value is greater than the
a value.
The a variable controls
how tightly the rose is centered around the origin.
Finally, the b value
controls how large the petals are.
This investigation
only covers the tip of the ieberg when it comes to polar equations.
I encourage you to
do your own investigation, because they can be particularly interesting.
__Suggestions for
investigation__
What if cos is replaced
with sin?
What if you do not
use integers?
What happens when using
very large numbers?
Return
to Main Investigation