જો $\cos \theta = \frac{3}{5}$ અને $\cos \phi = \frac{4}{5},$ કે જ્યાં $\theta $ અને $\phi $ ધન લઘુકોણ છે , તો $\cos \frac{{\theta - \phi }}{2} = $
$\frac{7}{{\sqrt 2 }}$
$\frac{7}{{5\sqrt 2 }}$
$\frac{7}{{\sqrt 5 }}$
$\frac{7}{{2\sqrt 5 }}$
$\cos \frac{{2\pi }}{{15}}\cos \frac{{4\pi }}{{15}}\cos \frac{{8\pi }}{{15}}\cos \frac{{16\pi }}{{15}} =$
$\sin \frac{\pi }{{14}}\sin \frac{{3\pi }}{{14}}\sin \frac{{5\pi }}{{14}}\sin \frac{{7\pi }}{{14}}\sin \frac{{9\pi }}{{14}}\sin \frac{{11\pi }}{{14}}\sin \frac{{13\pi }}{{14}} = . . . .$
જો $\tan \frac{\theta }{2} = t,$ તો $\frac{{1 - {t^2}}}{{1 + {t^2}}} = . . . .$
$cot\, 7\frac{{{1^0}}}{2}$ $+ tan\, 67 \frac{{{1^0}}}{2} - cot 67 \frac{{{1^0}}}{2} - tan7 \frac{{{1^0}}}{2}$ =
$cos^273^o + cos^247^o + (cos73^o . cos47^o )$ =