Prove that: `4"cos"12^0cos48^0cos72^0=cos36^0`

Explanation

To prove that \( 4 \cos 12^\circ \cos 48^\circ \cos 72^\circ = \cos 36^\circ \), we will follow a systematic approach using trigonometric identities.

### Step 1: Rewrite the Left-Hand Side
We start with the left-hand side of the equation:
\[ 4 \cos 12^\circ \cos 48^\circ \cos 72^\circ \]
We can rewrite \( 4 \) as \( 2 \times 2 \):
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