The sum of all values of $x$ in $[0,2 \pi]$, for which $\sin x+\sin 2 x+\sin 3 x+\sin 4 x=0$, is equal to:
$11 \pi$
$12 \pi$
$8 \pi$
$9 \pi$
Find the general solution of the equation $\sin 2 x+\cos x=0$
The general value of $\theta $ satisfying ${\sin ^2}\theta + \sin \theta = 2$ is
If the equation $2\ {\sin ^2}x + \frac{{\sin 2x}}{2} = k$ , has atleast one real solution, then the sum of all integral values of $k$ is
$sin^{2n}x + cos^{2n}x$ lies between
Let $S=\{x \in R: \cos (x)+\cos (\sqrt{2} x)<2\}$, then