**Polar Equations**

**Problem:** Investigate

When a and b are equal, and k is an interger, this is a shape of the "n-leaf rose."

Let's look at the graph when a and b are equal, and k are various integers and the other one when a and b are the various same integers, and k is fixed.

Also, let's compare the graphs when we cosine function is replaced with
sine function.

So, we can know that a and b just decide the size of the graph when a and b are equal.

Click here if you would enjoy the shapes of the "n-leaf rose" for various n.

Let's compare the above one with

Let's look at the graph when b is fixed, and k is various integer
and the other one when b is various integer, and k is
fixed.

First, let's look at the graph when b is fixed as 1, and k is various
integer.

Secondly, let's look at the graph when b is various integer, and k is fixed as 1.

So, we can conclude that b is related to the radius and k is related to the period of the graph.

And sine function change the direction of the graph.

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