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

\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)]