# What does the polar equation #theta=arcsin(1-3r)# represent?

##### 2 Answers

Please see below.

#### Explanation:

I is not clear what is exactly desired by the questioner.

However,

or

As polar coordinates

graph{y=sqrt(x^2+y^2)-3(x^2+y^2) [-1.268, 1.232, -0.88, 0.37]}

cardioids through the pole r = 0. The parameter'a ' gives the size

and

symmetrical.

The period for

The given equation gives

This is the cardioid, with a = 1/3 and

For making a graph, a short Table for the principal value range

The conventional definition of arc sine restricts the graph to only a

range

For one full cardioid, continue the Table up to

Note that, if the period

the principal value definition for arc sine. You could not get the full

cardioid.