$\"\"$

The moment of inertia of an object is $\"\"$ .

Moments of inertia with respect to a set of rotated axes :

$\"\"$ .

Consider $\"\"$ .

Double angle formula : $\"\"$ .

$\"\"$

Double angle formula : $\"\"$ .

$\"\"$

Therefore, $\"\"$ .

$\"\"$

Consider $\"\"$ . \ \

$\"\"$

Therefore, $\"\"$ .

$\"\"$

$\"\"$ .