Solve `sin^3thetacostheta-cos^3thetasintheta=1/4dot`

Explanation

To solve the equation \( \sin^3 \theta \cos \theta - \cos^3 \theta \sin \theta = \frac{1}{4} \), we can follow these steps:

### Step 1: Factor the left-hand side
We can factor the left-hand side of the equation:
\[ \sin^3 \theta \cos \theta - \cos^3 \theta \sin \theta = \sin \theta \cos \theta (\sin^2 \theta - \cos^2 \theta) \]
Thus, we rewrite the equation as:
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