Polar conversion Write the equation r2 + r(2 sin θ − 6 cos θ) = 0 in Cartesian coordinates and identify the corresponding curve.

Solution 11RE

Step 1:

Given polar equation is ; + r(2sin(= 0

In this problem we need to convert the polar equation to cartesian equation.

The relation between cartesian (x, y) and polar coordinates ( r , is ;

x = r cos(, y = r sin(

+

=

=

=

=

Therefore , .