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