If $2{\tan ^2}\theta = {\sec ^2}\theta ,$ then the general value of $\theta $ is
$n\pi + \frac{\pi }{4}$
$n\pi - \frac{\pi }{4}$
$n\pi \pm \frac{\pi }{4}$
$2n\pi \pm \frac{\pi }{4}$
The general solution of $\sin x - \cos x = \sqrt 2 $, for any integer $n$ is
If $\sec 4\theta - \sec 2\theta = 2$, then the general value of $\theta $ is
For $x \in(0, \pi)$, the equation $\sin x+2 \sin 2 x-\sin 3 x=3$ has
Find the solution of $\sin x=-\frac{\sqrt{3}}{2}$
If $\sin 2\theta = \cos 3\theta $ and $\theta $ is an acute angle, then $\sin \theta $ is equal to