જો $tan\ 80^o = a$ અને $tan47^o = b$ હોય તો $tan37^o$ =
$\frac{{\alpha \, - \,\beta }}{{1\, + \,\alpha \beta }}$
$\frac{{\alpha \beta \, + \,1}}{{\alpha \, - \,\beta }}$
$\frac{{\alpha \beta \, - \,1}}{{\alpha \, + \,\beta }}$
$\frac{{\alpha \, + \,\beta }}{{1\, - \,\alpha \beta }}$
$\sqrt 3 \,{\rm{cosec}}\,{20^o} - \sec \,{20^o} = $
જો $A + B + C = {180^o},$ તો $\frac{{\tan A + \tan B + \tan C}}{{\tan A\,.\,\tan B\,.\,\tan C}} = $
$\frac{1}{4} \,\,tan \frac{\pi}{8} +\frac{1}{8} \,\,tan \frac{\pi}{16}+\frac{1}{16} \,\,tan \frac{\pi}{32}+.\,.\,.\,\infty $ પદ =
જો $\cos x + \cos y + \cos \alpha = 0$ અને $\sin x + \sin y + \sin \alpha = 0,$ તો $\cot \,\left( {\frac{{x + y}}{2}} \right) = $
$\sqrt 3 \, cosec\, 20^o - sec\, 20^o $ =