$cot 5^o$ -$tan5^o$ -$2$ $tan10^o$ -$4$ $tan 20^o$ -$8$ $cot40^o$ = 

જો $cos A = {3\over 4} , $ તો $32\sin \left( {\frac{A}{2}} \right)\sin \left( {\frac{{5A}}{2}} \right) = $

જો $\alpha $ સમીકરણ $25{\cos ^2}\theta + 5\cos \theta - 12 = 0$, $\pi /2 < \alpha < \pi $, નું એક બીજ હોય તો $\sin 2\alpha   = . . .$

જો $sin t + cos t = \frac{1}{5}$ હોય તો $tan \frac{t}{2}$ =

 $cot\, x + cot\, (60^o  + x) + cot\, (120^o  + x)$  = 

$2\,{\sin ^2}\beta + 4\,\,\cos \,(\alpha + \beta )\,\,\sin \,\alpha \,\sin \,\beta + \cos \,2\,(\alpha + \beta ) = $