Rotating Conic Sections

In order to rotate a conic section, one must begin at the starting point which has the equation: Ax^2+Bxy+Cy^2+Dx+Ey+F=0.

The first step is to find the angle through the equation cot20=(A-C)/B where 0<theta<90.

The second step would be to replace the x's and y's in order to get x=x*cos(theta)-y*sin(theta) and y=x*sin(theta)+y*cos(theta).

The last step would be to use algebra to simplify the equation. You should know your basic trig functions in order to aid in the process of simplifying.