Questions in trigonometry

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$\cos \frac{2\pi }{15}\cos \frac{4\pi }{15}\cos \frac{8\pi }{15}\cos \frac{16\pi }{15}$ =
The value of ${{\cos }^{2}}\frac{\pi }{12}+{{\cos }^{2}}\frac{\pi }{4}+{{\cos }^{2}}\frac{5\pi }{12}$ is
The value of $\sin \frac{\pi }{16}\sin \frac{3\pi }{16}\sin \frac{5\pi }{16}\sin \frac{7\pi }{16}$is
${{\cos }^{2}}{{76}^{o}}+{{\cos }^{2}}{{16}^{o}}-\cos {{76}^{o}}\cos {{16}^{o}}=$
$\cos \frac{\pi }{7}\cos \frac{2\pi }{7}\cos \frac{4\pi }{7}=$
The value of $\frac{\tan {{70}^{o}}-\tan {{20}^{o}}}{\tan {{50}^{o}}}=$
${{\cos }^{2}}\alpha +{{\cos }^{2}}(\alpha +120{}^\circ )+{{\cos }^{2}}(\alpha -120{}^\circ )$ is equal to
The value of $\tan {{20}^{o}}+2\tan {{50}^{o}}-\tan {{70}^{o}}$is equal to
$\frac{{{\cot }^{2}}15{}^\circ -1}{{{\cot }^{2}}15{}^\circ +1}=$
If $\cos \theta =\frac{3}{5}$and $\cos \varphi =\frac{4}{5},$where $\theta $and $\varphi $are positive acute angles, then $\cos \frac{\theta -\varphi }{2}=$

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