यदि $2\tan A = 3\tan B,$ तब $\frac{{\sin 2B}}{{5 - \cos 2B}}$ का मान होगा

यदि $A + B + C = \pi ,$ तब  $\cos \,\,2A + \cos \,\,2B + \cos \,\,2C = $

यदि $\tan \frac{\theta }{2} = t,$ तब $\frac{{1 - {t^2}}}{{1 + {t^2}}}$ का मान होगा

यदि $90^\circ  < A < 180^\circ $ तथा $\sin A = \frac{4}{5},$ तब $\tan \frac{A}{2}$ का मान होगा

$3\,\left[ {{{\sin }^4}\,\left( {\frac{{3\pi }}{2} - \alpha } \right) + {{\sin }^4}\,(3\pi + \alpha )} \right]$ $ - 2\,\left[ {{{\sin }^6}\,\left( {\frac{\pi }{2} + \alpha } \right) + {{\sin }^6}(5\pi - \alpha )} \right] = $

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}} = $