I know how to change a rectangular equation into a parametric one but can't do it vice versa.
An example is: (x+2)^2/25-(y-5)^2/12=1
I'm flabbergasted!
Hello cheet0faceThere are no hard and fast rules about doing it this way round, but the equation you mention is a fairly standard one - it's a hyperbola, and a variation on the simpler version:
except that its centre has been moved from the origin to .
We use trig functions to write equations like this in parametric form. In this case we can use the fact that , by writing:
and
You'll see that if you eliminate between these two equations you get:
and
So, using the above trig identity:
Grandad