The number of solutions of $|\cos x|=\sin x$, such that $-4 \pi \leq x \leq 4 \pi$ is.
$4$
$6$
$8$
$12$
$2$ solutions in $(0,2 \pi)$
So, $8$ solutions in $[-4 \pi, 4 \pi]$
The only value of $x$ for which ${2^{\sin x}} + {2^{\cos x}} > {2^{1 – (1/\sqrt 2 )}}$ holds, is
If $\cos 2\theta + 3\cos \theta = 0$, then the general value of $\theta $ is
The number of solutions $x$ of the equation $\sin \left(x+x^2\right)-\sin \left(x^2\right)=\sin x$ in the interval $[2,3]$ is
$sin 3\theta = 4 sin\, \theta \,sin \,2\theta \,sin \,4\theta$ in $0\, \le \,\theta\, \le \, \pi$ has :
Find the principal solutions of the equation $\sin x=\frac{\sqrt{3}}{2}$
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