If $\tan A = \frac{1 - \cos B}{\sin B},$ find $\tan 2A$ in terms of $\tan B$.

  • A
    $\tan 2A = \tan B$
  • B
    $\tan 2A = \tan^2 B$
  • C
    $\tan 2A = \tan^2 B + 2\tan B$
  • D
    None of the above

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