From 8d114bfdc3c86c7f59548d4d54d72e4b90b7d958 Mon Sep 17 00:00:00 2001
From: Luan Fernandes <luan.fernandes@buser.com.br>
Date: Sat, 16 Nov 2024 09:35:31 -0300
Subject: [PATCH] add q7 plots generated separetly

---
 .../physics/essays/solutions/q7_solution.txt  | 47 +++++++++++++++++++
 1 file changed, 47 insertions(+)

diff --git a/exams/ita_2025/physics/essays/solutions/q7_solution.txt b/exams/ita_2025/physics/essays/solutions/q7_solution.txt
index 6a21f0a..70007f5 100644
--- a/exams/ita_2025/physics/essays/solutions/q7_solution.txt
+++ b/exams/ita_2025/physics/essays/solutions/q7_solution.txt
@@ -146,6 +146,53 @@ Os gráficos de \(I_{D1}\) e \(I_{D2}\) em função de \(\phi\) para o intervalo
 - \(I_{D1} = I_0 \cos^2\left( \dfrac{\phi}{2} \right)\)
 - \(I_{D2} = I_0 \sin^2\left( \dfrac{\phi}{2} \right)\)
 
+Plots for these equations:\footnote{o1-preview did not produced the plots when solution was generated. However, asking the model separately to produce the plots from equations above worked, and we included for educational purposes and to also show its capabilities for building plots with tikz.}
+
+\begin{center}
+\begin{tikzpicture}
+    \tikzmath{
+        real \Izero;
+        \Izero = 1; % Set the value of I0
+    }
+    \begin{axis}[
+        title={Plot of $I_{D1} = I_0 \cos^2\left( \dfrac{\phi}{2} \right)$},
+        xlabel={$\phi$ (radians)},
+        ylabel={$I_{D1}$},
+        domain=0:2*pi,
+        samples=200,
+        grid=both,
+        minor tick num=1,
+        width=12cm,
+        height=7cm,
+        ]
+    \addplot[blue, thick] {\Izero * cos(deg(x/2))^2};
+    \end{axis}
+\end{tikzpicture}
+\end{center}
+
+\bigskip % Adds some vertical space between the plots
+
+\begin{center}
+\begin{tikzpicture}
+    \tikzmath{
+        real \Izero;
+        \Izero = 1; % Set the value of I0
+    }
+    \begin{axis}[
+        title={Plot of $I_{D2} = I_0 \sin^2\left( \dfrac{\phi}{2} \right)$},
+        xlabel={$\phi$ (radians)},
+        ylabel={$I_{D2}$},
+        domain=0:2*pi,
+        samples=200,
+        grid=both,
+        minor tick num=1,
+        width=12cm,
+        height=7cm,
+        ]
+    \addplot[red, thick] {\Izero * sin(deg(x/2))^2};
+    \end{axis}
+\end{tikzpicture}
+\end{center}
 
 ---