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+\documentclass{article}
+\usepackage{amsmath}
+\usepackage{amssymb}
+\usepackage{amsfonts}
+
+\thispagestyle{empty}
+\begin{document}
+\begin{equation}
+ P(x)=\cos^2\theta \frac{1}{\sqrt{2\pi\sigma_1^2}}e^{-\frac{x^2}{2\sigma_1^2}}+\sin^2\theta \frac{1}{\sqrt{2\pi\sigma_2^2}}e^{-\frac{x^2}{2\sigma_2^2}}
+\end{equation}
+\end{document}