The solution of $3\tan (A - {15^o}) = \tan (A + {15^o})$ is
$n\pi + \frac{\pi }{4}$
$2n\pi + \frac{\pi }{4}$
$2n\pi - \frac{\pi }{4}$
$\frac{{n\pi }}{2} + {( - 1)^n}\frac{\pi }{2}$
The number of values of $x$ for which $sin2x + sin4x = 2$ is
The number of solution of the given equation $a\sin x + b\cos x = c$ , where $|c|\, > \,\sqrt {{a^2} + {b^2}} ,$ is
If $3({\sec ^2}\theta + {\tan ^2}\theta ) = 5$, then the general value of $\theta $ is
If $2\sin \theta + \tan \theta = 0$, then the general values of $\theta $ are
The set of angles btween $0$ & $2\pi $ satisfying the equation $4\, cos^2 \, \theta - 2 \sqrt 2 \, cos \,\theta - 1 = 0$ is