\begin{equation} \begin{aligned} &\text { The solutions of the equation }\\ &\left|\begin{array}{ccc} 1+\sin ^2 …

\begin{equation}
\begin{aligned}
&\text { The solutions of the equation }\\
&\left|\begin{array}{ccc}
1+\sin ^2 x & \sin ^2 x & \sin ^2 x \\
\cos ^2 x & 1+\cos ^2 x & \cos ^2 x \\
4 \sin 2 x & 4 \sin 2 x & 1+4 \sin 2 x
\end{array}\right|=0,(0<x<\pi), \text { are : }
\end{aligned}
\end{equation}

[JEE Main 2021, 18 Mar (Shift 1)]