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

  • [IIT 1983]
  • 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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