If cot A = $\left[\frac{sin B}{(1 - cos B)}\right]$, then what is the value of cot 2A?

If cot A = $\left[\frac{sin B}{(1 - cos B)}\right]$, then what is the value of cot 2A?
1). cot($\frac{B}{2}$)
2). cot 2B
3). cot B
4). tan B

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