The set of all values of $\lambda$ for which the equation $\cos ^2 2 x-2 \sin ^4 x-2 \cos ^2 x=\lambda$
$[-2,-1]$
$\left[-2,-\frac{3}{2}\right]$
$\left[-1,-\frac{1}{2}\right]$
$\left[-\frac{3}{2},-1\right]$
The general solution of $a\cos x + b\sin x = c,$ where $a,\,\,b,\,\,c$ are constants
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
The number of values of $x$ in the interval $[0, 5 \pi ] $ satisfying the equation $3{\sin ^2}x - 7\sin x + 2 = 0$ is
The general solution of $\tan 3x = 1$ is
Solve $2 \cos ^{2} x+3 \sin x=0$