Which of the following functions have the maximum value unity ?
$sin^2 x - cos^2 x$
$\frac{{\sin \,2x\,\, - \,\,\cos \,2x}}{{\sqrt 2 }}$
$-\frac{{\sin \,2x\,\, - \,\,\cos \,2x}}{{\sqrt 2 }}$
All of the above
The value of $\sin \frac{\pi }{{14}}\sin \frac{{3\pi }}{{14}}\sin \frac{{5\pi }}{{14}}\sin \frac{{7\pi }}{{14}}\sin \frac{{9\pi }}{{14}}\sin \frac{{11\pi }}{{14}}\sin \frac{{13\pi }}{{14}}$ is equal to
Prove that $=\frac{\sin 5 x-2 \sin 3 x+\sin x}{\cos 5 x-\cos x}=\tan x$
$\sqrt {\frac{{1 - \sin A}}{{1 + \sin A}}} = $
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
$\sqrt 2 + \sqrt 3 + \sqrt 4 + \sqrt 6 $ is equal to