$\sin (\pi + \theta )\sin (\pi - \theta )\csc^2 \theta = $

If $\tan \theta + \cot \theta = 2$,then the value of $\tan^{100} \theta + \cot^{100} \theta$ is

If $\tan x = (\sin 45^{\circ})(\cos 45^{\circ}) + \sin 30^{\circ}$,then the value of $x$ is (in $^{\circ}$)

If $\sin \theta = -\frac{7}{25}$ and $\theta$ is in the third quadrant,then $\frac{7 \cot \theta - 24 \tan \theta}{7 \cot \theta + 24 \tan \theta} = $

The value of $\cos 255^o + \sin 195^o$ is

$\tan 9^\circ - \tan 27^\circ - \tan 63^\circ + \tan 81^\circ = $