Evaluate the following: `cos 47^@ cos 13^@-sin 47^@ sin 13^@`

Explanation

To evaluate the expression \( \cos 47^\circ \cos 13^\circ - \sin 47^\circ \sin 13^\circ \), we can use the cosine addition formula. Here are the steps to solve the problem:

### Step 1: Identify the formula
We recognize that the expression resembles the cosine addition formula:
\[ \cos(x + y) = \cos x \cos y - \sin x \sin y \]
In our case, we can set \( x = 47^\circ \) and \( y = 13^\circ \).
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