IIT JEE , AIEEE Forum - Mathematics , Analytical Geometry

HOPE

how to convert to polar coordinates

x³=y²(2a-x)

konichiwa2x

A diagram illustrating the relationship between polar and Cartesian coordinates.

The two polar coordinates

r

and ? can be converted to the cartesian coordinates

x

and

y

by making the following substitutions:

$x = r \cos \theta \,$

$y = r \sin \theta, \,$

while the two Cartesian coordinates

x

and

y

can be converted to polar coordinate

r

by $r = \sqrt{x^2 + y^2} \,$ .

pink_ele

put x=r cos theta

y =r sin theta

u get

r cos³

=sin² theta(2a- rcos theta)