$\frac{{\sqrt 2 - \sin \alpha - \cos \alpha }}{{\sin \alpha - \cos \alpha }} = $
$\sec \left( {\frac{\alpha }{2} - \frac{\pi }{8}} \right)$
$\cos \left( {\frac{\pi }{8} - \frac{\alpha }{2}} \right)$
$\tan \left( {\frac{\alpha }{2} - \frac{\pi }{8}} \right)$
$\cot \left( {\frac{\alpha }{2} - \frac{\pi }{2}} \right)$
$\frac{{4\sin {9^o}\sin {{21}^o}\sin {{39}^o}\sin {{51}^o}\sin {{69}^o}\sin {{81}^o}}}{{\sin {{54}^o}}}$ =
જો $\theta $ એ લઘુકોણ છે અને $\sin \frac{\theta }{2} = \sqrt {\frac{{x - 1}}{{2x}}} $, તો $\tan \theta = . . .$
જો $tan\ 80^o = a$ અને $tan47^o = b$ હોય તો $tan37^o$ =
$\cos \frac{\pi }{7}\cos \frac{{2\pi }}{7}\cos \frac{{3\pi }}{7} =$
$\cos \frac{{2\pi }}{{28}}\,\cos ec\frac{{3\pi }}{{28}}\, + \,\cos \frac{{6\pi }}{{28}}\,\cos ec\frac{{9\pi }}{{28}} + \cos \frac{{18\pi }}{{28}}\cos ec\frac{{27\pi }}{{28}}$=