$2\cos x - \cos 3x - \cos 5x = $
$16{\cos ^3}x{\sin ^2}x$
$16{\sin ^3}x{\cos ^2}x$
$4{\cos ^3}x{\sin ^2}x$
$4{\sin ^3}x{\cos ^2}x$
The value of $\sum_{r-1}^{18} cos^2(5r)^o,$ where $x^o $ denotes the $x$ degree, is equals to
If $\tan \alpha = \frac{1}{7}$ and $\sin \beta = \frac{1}{{\sqrt {10} }}\left( {0 < \alpha ,\,\beta < \frac{\pi }{2}} \right)$, then $2\beta $ is equal to
The sines of two angles of a triangle are equal to $\frac{5}{{13}}$ & $\frac{{99}}{{101}}.$ The cosine of the third angle is :
Value of ${\sin ^2}\frac{\pi }{8} + {\sin ^2}\frac{{3\pi }}{8} + {\sin ^2}\frac{{5\pi }}{8} + {\sin ^2}\frac{{7\pi }}{8}$ is
$\tan 75^\circ - \cot 75^\circ = $