# How do you sketch the graph of the polar equation and find the tangents at the pole of #r=3sin2theta#?

##### 1 Answer

#### Explanation:

The period for the graph is

As

community to disallow r-negative loops that appear in

In my count, there is just one loop and that is in

period

second r-positive loop in

In respect of the first loop, the tangency is either through #theta

=0

anticlockwise tracing. For the second, these angles are #pi and

pi/2#.

Note: The Socratic utility adheres to r >=0 logic. There might be

some graphic devices that create four loops for this graph, and 4n

loops, for

graph{((x^2+y^2)^1.5-6xy)=0 [-5, 5, -2.5, 2.5]}