Salutations, guests of Mathland!
We will be upon our destination of the Mad Hatter's Tea Party in a few seconds!
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I most humbly welcome you!
Today at the party we will be discussing the rotation of conic sections, otherwise known as "Axis Rotation".
Here are some notes regarding this process:
As demonstrated by the image above, in order to start, we must determine and match the coefficients with that of the first equation, Second, we plug it into the equation and find what cot2(θ) is equal to. Next, we are able to replace the x with x' (x-prime) and y with y' (y-prime) in order to determine the coordinates on the rotated Cartesian Plane. Finally we plus it into the original equation and use algebra to simplify it.
Here is an example:
That is all!
I do hope you enjoyed your time and our lovely conversation at the tea party!
The March Hare seems to have enjoyed our company, for he tells us to visit again soon.
Farewell for now!
See you next time, lovely guests.~
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