The equation $3{\sin ^2}x + 10\cos x - 6 = 0$ is satisfied, if
$x = n\pi \pm {\cos ^{ - 1}}(1/3)$
$x = 2n\pi \pm {\cos ^{ - 1}}(1/3)$
$x = n\pi \pm {\cos ^{ - 1}}(1/6)$
$x = 2n\pi \pm {\cos ^{ - 1}}(1/6)$
If $|cos\ x + sin\ x| + |cos\ x\ -\ sin\ x| = 2\ sin\ x$ ; $x \in [0,2 \pi ]$ , then maximum integral value of $x$ is
Find the value of $\tan \frac{\pi}{8}$
Solve $\sin 2 x-\sin 4 x+\sin 6 x=0$
If $a = \sin \frac{\pi }{{18}}\sin \frac{{5\pi }}{{18}}\sin \frac{{7\pi }}{{18}}$ and $x$ is the solution of the equatioin $y = 2\left[ x \right] + 2$ and $y = 3\left[ {x - 2} \right] ,$ where $\left[ x \right]$ denotes the integral part of $x,$ then $a$ is equal to :-
The number of solutions to the equation $\cos ^4 x+\frac{1}{\cos ^2 x}=\sin ^4 x+\frac{1}{\sin ^2 x}$ in the interval $[0,2 \pi]$ is