# How do you graph #r=2sin2x#?

##### 1 Answer

See graph and explanation.

#### Explanation:

The graph of

n equal and symmetrical loops, around the pole r = 0.

The graph of

anticlockwise graph of

through

Use

Now, the Socratic graph is immediate.

graph{ (x^2 + y^2 )^1.5 - 4 xy = 0[-4 4 -2 2 ]}

For anticlockwise rotation, through

The graph is immediate.

graph{ (x^2 + y^2 )^1.5 + 4 xy = 0[-4 4 -2 2 ]}

For clockwise rotation, through

See the graph, using

graph{(x^2+y^2)^1.5-2(x^2-y^2)=0[-4 4 -2 2]}