If ${\sec ^2}\theta = \frac{4}{3}$, then the general value of $\theta $ is
$2n\pi \pm \frac{\pi }{6}$
$n\pi \pm \frac{\pi }{6}$
$2n\pi \pm \frac{\pi }{3}$
$n\pi \pm \frac{\pi }{3}$
The set of values of $x$ satisfying the equation,${2^{\tan \,\,\left( {x\,\, - \,\,{\textstyle{\pi \over 4}}} \right)}}$ $- 2$${\left( {0.25} \right)^{\frac{{{{\sin }^2}\,\left( {x\,\, - \,\,{\textstyle{\pi \over 4}}} \right)}}{{\cos \,\,2x}}}}$ $+ 1 = 0$, is :
If $\cos \theta + \sec \theta = \frac{5}{2}$, then the general value of $\theta $ is
Number of solutions of $\sqrt {\tan \theta } = 2\sin \theta ,\theta \in \left[ {0,2\pi } \right]$ is equal to
If $\sec 4\theta - \sec 2\theta = 2$, then the general value of $\theta $ is
The set of angles btween $0$ & $2\pi $ satisfying the equation $4\, cos^2 \, \theta - 2 \sqrt 2 \, cos \,\theta - 1 = 0$ is