यदि $\alpha ,\,\beta ,\,\gamma \in \,\left( {0,\,\frac{\pi }{2}} \right)$, तो $\frac{{\sin \,(\alpha + \beta + \gamma )}}{{\sin \alpha + \sin \beta + \sin \gamma }}$ का मान होगा
$< 1$
$> 1$
$1$
इनमें से कोई नहीं
$\tan 9^\circ - \tan 27^\circ - \tan 63^\circ + \tan 81^\circ = $
यदि $\tan \alpha = \frac{1}{7}$ तथा $\sin \beta = \frac{1}{{\sqrt {10} }}\left( {0 < \alpha ,\,\beta < \frac{\pi }{2}} \right)$, तब $2\beta $ बराबर है
यदि $A + B + C = \pi ,$ तो $\frac{{\cos A}}{{\sin B\sin C}} + \frac{{\cos B}}{{\sin C\sin A}} + \frac{{\cos C}}{{\sin A\sin B}} = $
${\rm{cosec }}A - 2\cot 2A\cos A = $
यदि ${\rm{cosec}}\theta = \frac{{p + q}}{{p - q}},$ तब $\cot \,\left( {\frac{\pi }{4} + \frac{\theta }{2}} \right) = $