Write the maximum value of `12 s intheta-9sin^2\ \ thetadot`

Explanation

To find the maximum value of the expression \(12 \sin \theta - 9 \sin^2 \theta\), we can follow these steps:

### Step 1: Rewrite the expression
We start with the expression:
\[ y = 12 \sin \theta - 9 \sin^2 \theta \]
This can be rearranged as:
...