$1 + \cos 2x + \cos 4x + \cos 6x = $
$2\cos x\cos 2x\cos 3x$
$4\sin x\,\cos 2x\cos 3x$
$4\cos x\cos 2x\cos 3x$
None of these
The value of $\tan 81^{\circ}-\tan 63^{\circ}-\tan 27^{\circ}+\tan 9^{\circ}$ is
If $A + B + C = \pi ,$ then ${\tan ^2}\frac{A}{2} + {\tan ^2}\frac{B}{2} + $${\tan ^2}\frac{C}{2}$ is always
$cot 5^o$ -$tan5^o$ -$2$ $tan10^o$ -$4$ $tan 20^o$ -$8$ $cot40^o$ is equal to
If $tan\ 80^o = a$ and $tan47^o = b$, then $tan37^o$ is equal to -
If $90^\circ < A < 180^\circ $ and $\sin A = \frac{4}{5},$ then $\tan \frac{A}{2}$ is equal to