Hi, my name is Tran Trung
This question is secondary school
The question's for me.
How do I convert r = 2/(2sin(theta) - 3cos(theta)) to rectangular and x2 + y2 -2y = 0 to polar form?
thank youHi Tran,
The key to converting to and from polar coordinates are the exprressions
y = r sin(theta)
Your second problem (Cartesian to polar) is direct since you can substitute the expressions above into the equation that you have and then simplify. That is
Now simplif using the fact that sin2(theta) + cos2(theta) = 1.
For your first problem write sin(theta) = y/r and cos(theta) = x/r and then simplify. You will find that the symbol r can be eliminated and you are left with an expression involving only the variables x and y.Cheers,