જો $\alpha$, $\beta$,$\gamma$ એ ધન સંખ્યાઓ છે કે જેથી $\alpha + \beta = \pi$ અને $\beta + \gamma = \alpha$ થાય તો $tan\ \alpha$= ................ (જ્યાં $\gamma \ne n\pi ,n \in I$ )
$ - 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 }}}$
$\sqrt {\frac{{\tan \beta + \tan \gamma }}{{\tan \gamma }}}$
જો $\alpha + \beta + \gamma = 2\pi ,$ તો
$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 ${\cos ^2}(\alpha - \beta ) + 2ab\,\sin \,(\alpha - \beta ) = . . . .$