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?


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