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

Explanation

To simplify the expression \((\sin 75^\circ - \sin 15^\circ) / (\cos 75^\circ + \cos 15^\circ)\), we can follow these steps:

### Step 1: Apply the sine difference identity
The numerator \(\sin 75^\circ - \sin 15^\circ\) can be simplified using the identity:
\[ \sin a - \sin b = 2 \cos\left(\frac{a+b}{2}\right) \sin\left(\frac{a-b}{2}\right) \]
Here, \(a = 75^\circ\) and \(b = 15^\circ\).
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