# How do you sketch the graph of the polar equation and find the tangents at the pole of #r=2cos3theta#?

##### 1 Answer

Jan 11, 2017

#### Explanation:

graph{(x^2+y^2)^2-8x^3+6x(x^2+y^2)=0 [-5, 5, -2.5, 2.5]}

The period of

In one rotation

loops are created.

At the pole,

Slope of the tangent

#=(-6sin 3theta sin theta +2 cos 3theta cos theta)

direction twice.