Thread: Changing parametric equation to cartesian

1. Changing parametric equation to cartesian

I've got this parametric equations:
$\displaystyle x=\frac{c(t^4+1)}{2t^3}$
$\displaystyle y=\frac{c(t^4+1)}{2t}$
t is the variable
I am supposed to find the Cartesian equation of these points, are there any pointers like things to look out for when trying to convert such things? I want to try it myself, but i need some guidance as to where to start when dealing with such equations.
Thanks!

2. Hello arze
Originally Posted by arze
I've got this parametric equations:
$\displaystyle x=\frac{c(t^4+1)}{2t^3}$
$\displaystyle y=\frac{c(t^4+1)}{2t}$
t is the variable
I am supposed to find the Cartesian equation of these points, are there any pointers like things to look out for when trying to convert such things? I want to try it myself, but i need some guidance as to where to start when dealing with such equations.
Thanks!
It's difficult to define any hard-and-fast rules. Obviously, you have to eliminate $\displaystyle t$ between the two equations, so you'll have to look for ways to do this. You could try to isolate $\displaystyle t$ and then eliminate it by substitution.

In this case, the equations only differ in the power of $\displaystyle t$ in the denominators on the right-hand-sides. So
$\displaystyle y = t^2x$
Now make $\displaystyle t$ the subject of this equation, and eliminate it by substituting into whichever of the original equations looks like being the easier.