Equation involving exp, sin, cos and Greek letters

Question

How would I write this equation in LaTeX?

Answer 1

Welcome! To have the command for each symbol, you can search for it on the Internet. This list (and many others) provides a sufficient number of symbols you need to make a mathematical document.

Using the commands to form an equation in your document is very simple and basic. You just have to read a basic LaTeX book. LaTeX for complete novices is my recommendation.

Okay, here is your equation:

\documentclass{article}
\usepackage{amsmath}
\begin{document}
We have
\[g_{\lambda\theta\psi\sigma\gamma}(x,y)=\exp\left(-\frac{x'^2+\gamma^2y'^2}{2\sigma^2}\right)\cos\left(2\pi\frac{x'}{\lambda}+\psi\right)\]
and
\begin{align*}
    x'&=x\cos(\theta)+y\sin(\theta)\\
    y'&=y\cos(\theta)-x\sin(\theta)
\end{align*}
\end{document}