$\text{cosec } A - 2 \cot 2A \cos A = $

The value of $6(\sin^6 \theta + \cos^6 \theta) - 9(\sin^4 \theta + \cos^4 \theta) + 4$ is

If $\tan \alpha = \frac{1}{7}$ and $\sin \beta = \frac{1}{\sqrt{10}}$ where $0 < \alpha, \beta < \frac{\pi}{2}$,then $2\beta$ is equal to:

If $\tan \theta = t,$ then $\tan 2\theta + \sec 2\theta = $

If $m \tan (\theta - 30^\circ) = n \tan (\theta + 120^\circ)$,then $\frac{m + n}{m - n} = $

The value of $\sin 10^\circ \sin 30^\circ \sin 50^\circ \sin 70^\circ$ is