Polar Equations

by Kaori Tabeta


Investigate

In the case of a=1 , b=1 , and k=1, the graph of the equation is as following;


The various number of a

Let's try to change a for various number, with the b and k (b=1,k=1) are fixed!

a=2

a=3

a=4

If the number of a is bigger number, the graph is expand and the shape is similar to circle having radius of a graduary.


The various number of b

Let's try to change b for various number,with a andk are fixed (a=1,k=1)!

b=2

b=3

 

b=4

As changing the number of b begger, expanding inside ring.


The various number of k

Let's try to change the number of k for various number,with a=1 , b=1 !

k=2

k=3

k=4

k=5

It seems that the number of k and the the number of k are same number.


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