# How do you graph #r^2 = sin2(t)#?

##### 1 Answer

See graphs galore.

#### Explanation:

The power-scaling of r is done,

when

It is r-more, when

Here, this is an example.

Use

and

to get the Cartesian form of

The Socratic graph is immediate.

graph{( x^2 + y^2 ) ^2 - 2xy =0[-2 2 -1 1]}

Graph of

graph{( x^2 + y^2 ) ^1.5 - 2xy =0[-2 2 -1 1]}

Easy to see which is which, jn the combined graph, along with the

third graph of

graph{(( x^2 + y^2 ) ^2 - 2xy)( ( x^2 + y^2 ) ^1.5 - 2xy) ( ( x^2 + y^2 ) ^3.5 - 2xy) =0[-2 2 -1 1]}