$\tan 9^{\circ}-\tan 27^{\circ}-\tan 63^{\circ}+\tan 81^{\circ}$ ની કિમંત $............$ થાય.
$6$
$8$
$4$
$10$
${(\cos \alpha + \cos \beta )^2} + {(\sin \alpha + \sin \beta )^2} = $
જો $\tan A = \frac{1}{2},\tan B = \frac{1}{3},$ તો $\cos 2A = $
$\cos A + \cos (240^\circ + A) + \cos (240^\circ - A) = $
જો $2\sec 2\alpha = \tan \beta + \cot \beta ,$ તો $\alpha + \beta =. . . .$
$\tan \alpha + 2\tan 2\alpha + 4\tan 4\alpha + 8\cot \,8\alpha = $