# How to make parametric equations with curly brace

I'm using

$\begin{cases} x=3 + 2\sin t \\ y= 4+\sin t \end{cases}$


to write parametric equations but I want to add the domain in the middle of the two equations like in this picture.

\documentclass{article}
$\begin{cases} x=3+2\sin t\\ y=4+\sin t \end{cases} t\in (-\infty,\infty)$