The set of values of $x$ for which the expression $\frac{{\tan 3x - \tan 2x}}{{1 + \tan 3x\tan 2x}} = 1$, is
$\phi $
$\frac{\pi }{4}$
$\left\{ {n\pi + \frac{\pi }{4}:n = 1,\,2,\,3.....} \right\}$
$\left\{ {2n\pi + \frac{\pi }{4}:n = 1,\,2,\,3.....} \right\}$
The number of points in $(-\infty, \infty)$, for which $x^2-x \sin x-\cos x=0$, is
The equation $3{\sin ^2}x + 10\cos x - 6 = 0$ is satisfied, if
The number of solutions of the equation $\sin \theta+\cos \theta=\sin 2 \theta$ in the interval $[-\pi, \pi]$ is
The numbers of solution $(s)$ of the equation $\left( {1 - \frac{1}{{2\,\sin x}}} \right){\cos ^2}\,2x\, = \,2\,\sin x\, - \,3\, + \,\frac{1}{{\sin x}}$ in $[0,4\pi ]$ is
Find the general solution of the equation $\cos 3 x+\cos x-\cos 2 x=0$