If $\sec 4\theta - \sec 2\theta = 2$, then the general value of $\theta $ is
$(2n + 1)\frac{\pi }{4}$
$(2n + 1)\frac{\pi }{{10}}$
$n\pi + \frac{\pi }{2}$or $\frac{{n\pi }}{5} + \frac{\pi }{{10}}$
None of these
If $\cos A\sin \left( {A - \frac{\pi }{6}} \right)$ is maximum, then the value of $A$ is equal to
If $\tan \theta + \tan 2\theta + \sqrt 3 \tan \theta \tan 2\theta = \sqrt 3 ,$ then
The value of the expression
$\frac{{\left (sin 36^o + cos 36^o - \sqrt 2 sin 27^o)( {\sin {{36}^0} + \cos {{36}^0} - \sqrt 2 \sin {{27}^0}} \right)}}{{2\sin {{54}^0}}}$ is less than
If $tan(\pi sin \theta)$ $= cot(\pi cos \theta)$, then $\left| {\cot \left( {\theta - \frac{\pi }{4}} \right)} \right|$ is -
The number of solution of the equation $2\cos ({e^x}) = {5^x} + {5^{ - x}}$, are