diff --git a/doc/manual.pdf b/doc/manual.pdf
index babb8bb16ed388f0856dffb2a1db62bb707d28f7..134cdb158c97a25bc6b523d82f296d61236c0d44 100644
Binary files a/doc/manual.pdf and b/doc/manual.pdf differ
diff --git a/doc/manual.tex b/doc/manual.tex
index 48ea46545f0aeb01ec3011d1676cc4f383439408..d210e8818c4528e9423c7b8a3672da0f2587b25a 100644
--- a/doc/manual.tex
+++ b/doc/manual.tex
@@ -173,8 +173,8 @@ compatibility.
 
 \section{Recording}
 
-It is possible to record the low-level state perceptions, actions, and
-game status of all players:\\
+It is possible to record the state perceptions (low- or high-level depending on
+the player), low-level actions, and game status of all players:\\
 
 \noindent \verb+  > ./bin/HFO --record + \\
 
@@ -391,6 +391,8 @@ changes in $\theta$.
 Given an angular feature $\langle \alpha_1, \alpha_2 \rangle$ we can
 recover the original angle $\theta$ (in radians) by taking the
 $cos^{-1}(\alpha_2)$ and multiplying by the sign of $\alpha_1$.
+Another method uses the common 'atan2' function as
+$atan2(\alpha_1, \alpha_2)$.
 
 \begin{figure*}[htp]
   \centering