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How I make this brackets and the formula below in LaTeX?

enter image description here

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3  
Use two cases environments. – Bernard Mar 29 at 22:43

Since arrays are vertically centred, set two next to one another:

enter image description here

\documentclass{article}

\begin{document}

\[
  \setlength{\arraycolsep}{0pt}% Remove inter-column gap
  \renewcommand{\arraystretch}{1.2}% Space out equations
  \left\{\begin{array}{ r l }
    \sum F_x & {}= m \times a_n \\
    \sum F_y & {}= m \times a_t
  \end{array}\right.\kern-\nulldelimiterspace
  \quad\leftrightarrow\quad
  \left\{\begin{array}{ r l }
    T - m g \cos\theta & {}= m \times a_n \\
      - m g \sin\theta & {}= m \times a_t
  \end{array}\right.\kern-\nulldelimiterspace
\]

\end{document}
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\documentclass[12pt]{article}
\usepackage{amsmath}
\begin{document}

\[
\begin{cases}
    \Sigma F_\mathrm{x} = m \times a_n \\
    \Sigma F_\mathrm{y} = m \times a_t
\end{cases}
\leftrightarrow \ \
\begin{cases}\!
    \begin{aligned}
        T - mg\cos\theta  &= m \times a_n \\
        {}- mg\sin\theta  &= m \times a_t
    \end{aligned}
\end{cases}
\]    

\[
\left\{\!
\begin{aligned}
    \Sigma F_\mathrm{x} &= m \times a_n \\
    \Sigma F_\mathrm{y} &= m \times a_t
\end{aligned}\right. \ \
\leftrightarrow \ \
\left\{\!
\begin{aligned}
    T - mg\cos\theta  &= m \times a_n \\
    {}- mg\sin\theta  &= m \times a_t
\end{aligned}\right.
\]

\end{document}

enter image description here

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While this gets the desired affect, I disagree semantically with the use of the cases environment. There aren't any "cases" in the equation. Why not \left\{\begin{aligned}...\end{aligned}\right.? – Matthew Leingang Mar 29 at 23:09
    
aligned should be prepended with \! or may be with etoolbox \AtBeginEnvironment{aligned}{\!}. – Manuel Mar 29 at 23:27
    
@MatthewLeingang - Good point, I added that option too. – AboAmmar Mar 29 at 23:42

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