Simplify `(sin75^(@)-sin15^(@))/(cos75^(@)+cos15^(@))`

Explanation

To simplify the expression \((\sin 75^\circ - \sin 15^\circ) / (\cos 75^\circ + \cos 15^\circ)\), we will use trigonometric identities.

### Step 1: Use the sine subtraction formula
The formula for the difference of sines is given by:
\[ \sin A - \sin B = 2 \cos\left(\frac{A+B}{2}\right) \sin\left(\frac{A-B}{2}\right) \]
Here, let \(A = 75^\circ\) and \(B = 15^\circ\).
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