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.