How do you rotate the axes to transform the equation #2x^2-xy-y^2=1# into a new equation with no xy term and then find the angle of rotation?
1 Answer
Use this reference Rotation of Axes
Explanation:
From the reference Rotation of Axes
The given coefficients are
According to the reference, to "un-rotate" the given equation, the hyperbola must be rotated by:
Use (9.4.4a)
We know that B will be zero but please feel free to check it.
Use (9.4.4c)
The new equation is
Here is a graph of both equations: