\

An equation $\"\"$ in the $\"\"$ -plane can be rewritten as $\"\"$ in rotated $\"\"$ -plane.

\

The equation in the $\"\"$ -plane can be found using the following equations, where $\"\"$ is the angle of rotation.

\

$\"\"$

\

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

$\"\"$ is the coefficient of the $\"\"$ term and $\"\"$ is the coefficient of the $\"\"$ term.

\

Combine like terms to confirm that $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

\

$\"\"$ .