# How do you graph #r=4cos7theta#?

##### 1 Answer

Jan 11, 2017

See the 7-petal rose and explanation.

#### Explanation:

So, the complete rotation through

7 petals @ 1 petal/period.

All these petals are contained in a square of side

2 (size of a petal) = 2 (4) = 8 units.

The cartesian form for

and this was used, for making the Socratic graph.

graph{(x^2+y^2)^4-4(x^7-21x^5y^2+35x^3y^4-7xy^6)=0 [-15, 15, -7.5, 7.5]}