Simplify `sin(cot^(-1)(cos(tan^(-1)x))),0 ltxlt1`.

Explanation

To simplify the expression \( \sin(\cot^{-1}(\cos(\tan^{-1}(x)))) \), we will follow a step-by-step approach.

### Step 1: Define the angle
Let \( \theta = \tan^{-1}(x) \). This means that:
\[ \tan(\theta) = x \]
From the definition of tangent, we can represent this in a right triangle where the opposite side is \( x \) and the adjacent side is \( 1 \).
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