Prove that: `sin^2 24^@-sin^2 6^@=(sqrt(5)-1)/8`

Explanation

To prove that \( \sin^2 24^\circ - \sin^2 6^\circ = \frac{\sqrt{5} - 1}{8} \), we will follow these steps:

### Step 1: Use the identity for the difference of squares
We start with the left-hand side of the equation:
\[ \sin^2 24^\circ - \sin^2 6^\circ \]
We can use the identity:
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