Questions in trigonometry

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$\sin 12{}^\circ \sin 24{}^\circ \sin 48{}^\circ \sin 84{}^\circ =$
$\tan 3A-\tan 2A-\tan A=$
${{\cos }^{2}}\left( \frac{\pi }{4}-\beta \right)-{{\sin }^{2}}\left( \alpha -\frac{\pi }{4} \right)=$
$\tan 9{}^\circ -\tan 27{}^\circ -\tan 63{}^\circ +\tan 81{}^\circ =$
$\frac{\sin 3\theta +\sin 5\theta +\sin 7\theta +\sin 9\theta }{\cos 3\theta +\cos 5\theta +\cos 7\theta +\cos 9\theta }=$
$\sin {{163}^{o}}\cos {{347}^{o}}+\sin {{73}^{o}}\sin {{167}^{o}}=$
The value of $\sin 600{}^\circ \cos 330{}^\circ +\cos 120{}^\circ \sin 150{}^\circ $ is
$\cos A+\cos (240{}^\circ +A)+\cos (240{}^\circ -A)=$
${{\cos }^{2}}\left( \frac{\pi }{6}+\theta \right)-{{\sin }^{2}}\left( \frac{\pi }{6}-\theta \right)=$
If $b\sin \alpha =a\sin (\alpha +2\beta ),$ then $\frac{a+b}{a-b}=$

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