# How do you sketch the graph of the polar equation and find the tangents at the pole of #r=3(1-costheta)#?

##### 1 Answer

The tangents are given by

#### Explanation:

graph{x^2+y^2+3x-3sqrt(x^2+y^2)=0 [-10, 10, -5, 5]}

The cartesian form

Socratic graph.

As the point

rotates. Here, from start at the pole to the finish ( at the return to the

pole),

With respect to the pole, r = 0 but

same direction..

Now, the formula for the slope of the tangent

at

Here, this is

At the pole (0, 0), the slope ( in the form

Likewise, for the tangent at the finish

The tangents are given by

Upon reading my answer, some eyebrows might be raised.

My approach is practical and real. I have followed the tangent

vector, from start to finish, in the tracing of the cardioid.