Evaluate the following: `sin(7pi)/(12)cospi/4-cos(7pi)/(12)sinpi/4`

Explanation

To evaluate the expression \( \sin\left(\frac{7\pi}{12}\right) \cos\left(\frac{\pi}{4}\right) - \cos\left(\frac{7\pi}{12}\right) \sin\left(\frac{\pi}{4}\right) \), we can use the sine of a difference formula:

\[ \sin(a - b) = \sin(a) \cos(b) - \cos(a) \sin(b) \]

### Step 1: Identify \(a\) and \(b\)
In our case, we can identify:
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