What is greater, `tan1 or tan^(-1)1?`

Explanation

To determine which is greater between \( \tan(1) \) and \( \tan^{-1}(1) \), we can follow these steps:

### Step 1: Understand the values of \( \tan^{-1}(1) \)
We know that \( \tan^{-1}(1) \) is the angle whose tangent is 1. The angle that satisfies this condition is \( \frac{\pi}{4} \) radians (or 45 degrees), since:
\[ \tan\left(\frac{\pi}{4}\right) = 1 \]
Thus, we can conclude:
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