If $\tan \beta = \cos \theta \tan \alpha ,$ then ${\tan ^2}\frac{\theta }{2} = $

  • A

    $\frac{{\sin (\alpha + \beta )}}{{\sin (\alpha - \beta )}}$

  • B

    $\frac{{\cos (\alpha - \beta )}}{{\cos (\alpha + \beta )}}$

  • C

    $\frac{{\sin (\alpha - \beta )}}{{\sin (\alpha + \beta )}}$

  • D

    $\frac{{\cos (\alpha + \beta )}}{{\cos (\alpha - \beta )}}$

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