# How do you graph #r=4sin7theta#?

##### 1 Answer

Jan 13, 2017

Graph is inserted. See explanation.

#### Explanation:

For using Socratic graphic utility, use the cartesian equivalent

graph{(x^2+y^2)^4=4(7x^6y-35x^4y^3+21x^2y^5-y^7) [-10, 10, -5, 5]}

Glory to De Moivre.

So, one rotation

As

r becomes negative, in the other half of the period,

This happens for every loop.

The graphing algorithm ignores

I take this opportunity to let others see the grandeur in the graph

of the counterpart

graph{y-(x^2+y^2)(7+(x^2+y^2)(-56+(x^2+y^2)(112-64(x^2+y^2))))=0[-2 2 -1.2 1.2]}