Description:
Consider the polar coordinates as
.
Here, r is the directed distance from origin Oto point Pand
is the directed angle from initial ray to OP.
From the given equation, the range of r is from —2 to
and 0s fixed at
. Therefore, the polar point traces a straight line at an angle of
from the initial ray (x-axis) and the line also satisfies the range of r.
From the analysis, draw the sets of points whose polar coordinates satisfy the given polar equation as shown in
Figure 1.