The polar equation is
.
The equation is of the form
and
, so its graph is a cardioid.
The function represents a cardioid.
\Because this polar equation is a function of the sine function, it is symmetric with respect to the line
.
Graph the polar equation
. \ \
Since polar equation is a sine function, it is symmetric with respect to the line
.
Construct a table and calculate the values of
on
.
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Graph :
\1. Draw a polar coordinate plane.
\2. Use the points and polar axis symmetry to sketch the curve.
\The polar equation
represents a cardiod. \ \
Graph of the polar equation
.