If $\cot \,\theta + \tan \theta = m$ and $\sec \theta - \cos \theta = n,$ then which of the following is correct

  • A

    $m{(m{n^2})^{1/3}} - n{(n{m^2})^{1/3}} = 1$

  • B

    $m{({m^2}n)^{1/3}} - n{(m{n^2})^{1/3}} = 1$

  • C

    $n{(m{n^2})^{1/3}} - m{(n{m^2})^{1/3}} = 1$

  • D

    $n{({m^2}n)^{1/3}} - m{(m{n^2})^{1/3}} = 1$

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