How do you find the points of intersection of #r=1/sin(Theta)# and #r=3-2sin(Theta)# ?
#r=3-2sin(Theta)#
1 Answer
Points of intersection in the first quadrant on the polar co-ordinates are:
Explanation:
The simplest way of finding the point of intersection is to substitute the value of
we know,
Equation 2:
Now, at point of intersection, the 2 equations will have the same value of r and
Now, this is a quadratic equation, which can be factorized as:
which means,
or
if r=1,
from eq. [i],
if r=2,
from eq. [i],
Thus, in the first quadrant, the given curves intersect at 2 points,