If $\alpha$, $\beta$,$\gamma$ are positive number such that $\alpha + \beta = \pi$ and $\beta + \gamma = \alpha$, then $tan\ \alpha$ is equal to - (where $\gamma \ne n\pi ,n \in I$ )
If $\alpha$, $\beta$,$\gamma$ are positive number such that $\alpha + \beta = \pi$ and $\beta + \gamma = \alpha$, then $tan\ \alpha$ is equal to - (where $\gamma \ne n\pi ,n \in I$ )
- A
$ - 2\sqrt {\frac{{\tan \beta + \tan \gamma }}{{\tan \gamma }}}$
- B
$\sqrt {\frac{{2\tan \beta + \tan \gamma }}{{\tan \gamma }}}$
- C
$ - \sqrt {\frac{{2\tan \beta + \tan \gamma }}{{\tan \gamma }}}$
- D
$\sqrt {\frac{{\tan \beta + \tan \gamma }}{{\tan \gamma }}}$
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