# How do you find the points of intersection of #r=1/sin(Theta)# and #r=3-2sin(Theta)# ?

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#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,