Find the value of `log tan 1^(@) logtan 2^(@) … log tan 89^(@)`.

Explanation

To find the value of the expression \( \log(\tan 1^\circ) \cdot \log(\tan 2^\circ) \cdots \log(\tan 89^\circ) \), we can follow these steps:

### Step 1: Understand the properties of the tangent function
The tangent function has a property that relates angles:
\[ \tan(90^\circ - x) = \cot(x) \]
This means that:
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