The number of solutions of the equation
$1+\sin ^{4} x=\cos ^{2} 3 x, x \in\left[-\frac{5 \pi}{2}, \frac{5 \pi}{2}\right]$ is :
5
4
7
3
Correct Option: 1
$1+\sin ^{4} x=\cos ^{2} 3 x$
$\sin x=0 \& \cos 3 x=1$
$0,2 \pi,-2 \pi,-\pi, \pi$
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