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
.
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
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 .