If $\alpha$, $\beta$,$\gamma$ are positive number such that $\alpha + \beta = \pi$ and $\beta + \gamma = \alpha$, then $tan\ \alpha$ is equal to - (where $\gamma \ne n\pi ,n \in I$ )
$ - 2\sqrt {\frac{{\tan \beta + \tan \gamma }}{{\tan \gamma }}}$
$\sqrt {\frac{{2\tan \beta + \tan \gamma }}{{\tan \gamma }}}$
$ - \sqrt {\frac{{2\tan \beta + \tan \gamma }}{{\tan \gamma }}}$
$\sqrt {\frac{{\tan \beta + \tan \gamma }}{{\tan \gamma }}}$
Prove that $\cot x \cot 2 x-\cot 2 x \cot 3 x-\cot 3 x \cot x=1$
If $A + B + C = \pi \,(A,B,C > 0)$ and the angle $C$ is obtuse then
$\sin 4\theta $ can be written as
If $A + B + C = \pi ,$ then ${\tan ^2}\frac{A}{2} + {\tan ^2}\frac{B}{2} + $${\tan ^2}\frac{C}{2}$ is always
${\rm{cosec }}A - 2\cot 2A\cos A = $