જો $\alpha$, $\beta$,$\gamma$ એ ધન સંખ્યાઓ છે કે જેથી $\alpha + \beta = \pi$  અને $\beta  + \gamma = \alpha$ થાય તો $tan\ \alpha$= ................ (જ્યાં  $\gamma  \ne n\pi ,n \in I$ )

  • 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

    $\sqrt {\frac{{\tan \beta  + \tan \gamma }}{{\tan \gamma }}}$

Similar Questions

જો $\alpha + \beta + \gamma = 2\pi ,$ તો

  • [IIT 1979]

$2\cos x - \cos 3x - \cos 5x = $

 $\cos \frac{{2\pi }}{{28}}\,\cos ec\frac{{3\pi }}{{28}}\, + \,\cos \frac{{6\pi }}{{28}}\,\cos ec\frac{{9\pi }}{{28}} + \cos \frac{{18\pi }}{{28}}\cos ec\frac{{27\pi }}{{28}}$= 

 $cosec \frac{\pi }{{18}} - \sqrt 3 \,sec\, \frac{\pi }{{18}}$ = 

જો $\cos \,(\theta - \alpha ) = a,\,\,\sin \,(\theta - \beta ) = b,\,\,$ તો ${\cos ^2}(\alpha - \beta ) + 2ab\,\sin \,(\alpha - \beta )  = . . . .$