If $tan\ 80^o = a$ and $tan47^o = b$, then $tan37^o$ is equal to -
$\frac{{\alpha \, - \,\beta }}{{1\, + \,\alpha \beta }}$
$\frac{{\alpha \beta \, + \,1}}{{\alpha \, - \,\beta }}$
$\frac{{\alpha \beta \, - \,1}}{{\alpha \, + \,\beta }}$
$\frac{{\alpha \, + \,\beta }}{{1\, - \,\alpha \beta }}$
If $\alpha $ is a root of $25{\cos ^2}\theta + 5\cos \theta - 12 = 0$, $\pi /2 < \alpha < \pi $, then $\sin 2\alpha $ is equal to
If $\sin \alpha = \frac{{336}}{{625}}$ and $450^\circ < \alpha < 540^\circ ,$ then $\sin \left( {\frac{\alpha }{4}} \right) = $
If $a\,\cos 2\theta + b\,\sin 2\theta = c$ has $\alpha$ and $\beta$ as its solution, then the value of $\tan \alpha + \tan \beta $ is
Value of $\frac{{4\sin {9^o}\sin {{21}^o}\sin {{39}^o}\sin {{51}^o}\sin {{69}^o}\sin {{81}^o}}}{{\sin {{54}^o}}}$ is equal to
If $A + B + C = {180^o},$ then $\frac{{\tan A + \tan B + \tan C}}{{\tan A\,.\,\tan B\,.\,\tan C}} = $