Answer:
To convert the polar equation to a rectangular equation.
Then to graph using rectangualr equation.
Given polar equation is,
[tex]r=\sin \theta[/tex]
We know that,
A polar coordinate system, gives the co-ordinates of a point with reference to a
point O and a half line or ray starting at the point O.A point P in the plane, has polar coordinates (r, θ), where r is the distance of the point from the origin and θ is the angle that the ray |OP| makes with the positive x-axis.
To convert from Polar to Cartesian coordinates, we use the identities:
[tex]\begin{gathered} x=r\cos \theta \\ y=r\sin \theta \\ x^2+y^2=r^2 \end{gathered}[/tex]
Multiply r to the given polar equation, we get
[tex]r^2=r\sin \theta[/tex]
Substitute the values in terms of x and y, we get
[tex]x^2+y^2=y[/tex]
we get,
[tex]x^2+y^2-y=0[/tex]
On ploting the graph using the above equation we get,
