If $\cos \,x = \frac{{2\cos y - 1}}{{2 - \cos y}},x,\,y\, \in \,\left( {0,\pi } \right),$ then $tan(x/2)cot(y/2) =$

  • A

    $\sqrt 2$

  • B

    $\sqrt 3$

  • C

    $1/\sqrt 2$

  • D

    $1/\sqrt 3$

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