diff --git a/notes/.obsidian/plugins/obsidian-activity-history/data.json b/notes/.obsidian/plugins/obsidian-activity-history/data.json
index 40cd63d..89d61f2 100644
--- a/notes/.obsidian/plugins/obsidian-activity-history/data.json
+++ b/notes/.obsidian/plugins/obsidian-activity-history/data.json
@@ -12,8 +12,8 @@
   "checkpointList": [
     {
       "path": "/",
-      "date": "2023-02-15",
-      "size": 968811
+      "date": "2023-02-16",
+      "size": 969696
     }
   ],
   "activityHistory": [
@@ -1095,6 +1095,10 @@
         {
           "date": "2023-02-15",
           "value": 3062
+        },
+        {
+          "date": "2023-02-16",
+          "value": 885
         }
       ]
     }
diff --git a/notes/.obsidian/plugins/various-complements/data.json b/notes/.obsidian/plugins/various-complements/data.json
index 07640c4..d8edf8c 100644
--- a/notes/.obsidian/plugins/various-complements/data.json
+++ b/notes/.obsidian/plugins/various-complements/data.json
@@ -158,6 +158,14 @@
           "lastUpdated": 1676372910354
         }
       }
+    },
+    "k\\in\\mathbb{Z}": {
+      "k\\in\\mathbb{Z}": {
+        "currentFile": {
+          "count": 1,
+          "lastUpdated": 1676542464088
+        }
+      }
     }
   }
 }
\ No newline at end of file
diff --git a/notes/.obsidian/workspace.json b/notes/.obsidian/workspace.json
index 8b06bb5..ee26808 100644
--- a/notes/.obsidian/workspace.json
+++ b/notes/.obsidian/workspace.json
@@ -218,15 +218,15 @@
   },
   "active": "aabbc9ef4eb756f1",
   "lastOpenFiles": [
+    "mat/Funkce/Funkční přepis.md",
+    "mat/Funkce/Cosinus.md",
+    "mat/Funkce/Cotangens.md",
+    "mat/Funkce/Sinus.md",
+    "mat/Funkce/Goniometrické funkce.md",
     "mat/Funkce/Tangens.md",
     "mat/Funkce/Příklady.md",
-    "mat/Funkce/Sinus.md",
-    "mat/Funkce/Cotangens.md",
-    "mat/Funkce/Cosinus.md",
     "dej/dej.md",
     "dej/moderní/komunismus/Untitled.md",
-    "fyz/fyz.md",
-    "cjl/cjl.md",
-    "ang/Essay - Description of our school.md"
+    "fyz/fyz.md"
   ]
 }
\ No newline at end of file
diff --git a/notes/data/Pasted image 20230216110440.png b/notes/data/Pasted image 20230216110440.png
new file mode 100644
index 0000000..7f4bec4
Binary files /dev/null and b/notes/data/Pasted image 20230216110440.png differ
diff --git a/notes/data/Pasted image 20230216111329.png b/notes/data/Pasted image 20230216111329.png
new file mode 100644
index 0000000..773280c
Binary files /dev/null and b/notes/data/Pasted image 20230216111329.png differ
diff --git a/notes/data/Pasted image 20230216111614.png b/notes/data/Pasted image 20230216111614.png
new file mode 100644
index 0000000..f4df0dd
Binary files /dev/null and b/notes/data/Pasted image 20230216111614.png differ
diff --git a/notes/data/Pasted image 20230216113442.png b/notes/data/Pasted image 20230216113442.png
new file mode 100644
index 0000000..c9b09ae
Binary files /dev/null and b/notes/data/Pasted image 20230216113442.png differ
diff --git a/notes/data/Pasted image 20230216113554.png b/notes/data/Pasted image 20230216113554.png
new file mode 100644
index 0000000..d69a086
Binary files /dev/null and b/notes/data/Pasted image 20230216113554.png differ
diff --git a/notes/data/Pasted image 20230216113714.png b/notes/data/Pasted image 20230216113714.png
new file mode 100644
index 0000000..5f47180
Binary files /dev/null and b/notes/data/Pasted image 20230216113714.png differ
diff --git a/notes/data/Pasted image 20230216114136.png b/notes/data/Pasted image 20230216114136.png
new file mode 100644
index 0000000..d8b7d9c
Binary files /dev/null and b/notes/data/Pasted image 20230216114136.png differ
diff --git a/notes/mat/Funkce/Cosinus.md b/notes/mat/Funkce/Cosinus.md
index 9913124..b518c79 100644
--- a/notes/mat/Funkce/Cosinus.md
+++ b/notes/mat/Funkce/Cosinus.md
@@ -5,4 +5,20 @@ tags:
 ---
 # Cosinus
 $\cos \alpha$
-Přilehlá strana ku přeponě v pravoúhlém trojúhelníku.
\ No newline at end of file
+Přilehlá strana ku přeponě v pravoúhlém trojúhelníku.
+![](Pasted%20image%2020230216111614.png)
+
+perioda $2\pi$
+$\cos x=\sin(x+\frac\pi2),\forall x \in\mathbb{R}$
+
+$y=A\sin(Bx+C)+D; A,B,C,D\in\mathbb{R}$
+
+$A>0\updownarrow$ $B>1\leftrightarrow$ (obracene)
+$A<0\updownarrow$ $0<B<1 \leftrightarrow$
+
+$D>0 \uparrow$
+$D<0\downarrow$
+
+$C>0\leftarrow$
+$C<0\rightarrow$
+
diff --git a/notes/mat/Funkce/Goniometrické funkce.md b/notes/mat/Funkce/Goniometrické funkce.md
index e94cc20..7350d27 100644
--- a/notes/mat/Funkce/Goniometrické funkce.md	
+++ b/notes/mat/Funkce/Goniometrické funkce.md	
@@ -10,6 +10,8 @@ $\cotg\alpha=\frac{b}a$
 
 ![](Pasted%20image%2020230215114031.png)
 
+![](Pasted%20image%2020230216110440.png)
+
 ---
 
 V pravoúhlem $\triangle ABC$  ($C$): $\beta=38\degree$; $a=7cm$, ostatní úhly a strany?
@@ -66,3 +68,38 @@ d)
 $\cos(-180\degree)=1$
 $\cos120\degree=\sin60\degree=\frac{\sqrt3}2$
 $\cos240\degree=-\sin30\degree=-\frac12$
+
+---
+
+
+
+$f_1: y=\sin x$
+$f_1(0)=0$
+$f_1(\frac\pi2)=1$
+$f_1(\frac\pi3)=0.5$
+
+![](Pasted%20image%2020230216113442.png)
+
+---
+
+$f_2:u=\sin x+2$
+$f_1(0)=2$
+$f_1(\frac\pi2)=3$
+$f_1(\frac\pi3)=2.5$
+
+![](Pasted%20image%2020230216113554.png)
+
+---
+
+$f_3: y=\sin(x+2)$
+
+![](Pasted%20image%2020230216113714.png)
+
+---
+
+$f_4: y=2\sin x$
+$f_4(0)=0$
+$f_4(\frac\pi2)=2$
+$f_4(\frac\pi3)=1$
+
+![](Pasted%20image%2020230216114136.png)
diff --git a/notes/mat/Funkce/Sinus.md b/notes/mat/Funkce/Sinus.md
index 7e11e88..d2a14cc 100644
--- a/notes/mat/Funkce/Sinus.md
+++ b/notes/mat/Funkce/Sinus.md
@@ -5,4 +5,12 @@ tags:
 ---
 # Sinus
 $\sin \alpha$
-Protilehlá strana ku přeponě v pravoúhlém trojúhelníku.
\ No newline at end of file
+Protilehlá strana ku přeponě v pravoúhlém trojúhelníku.
+![](Pasted%20image%2020230216111329.png)
+
+lok max {$\frac\pi2+2k\pi,k\in\mathbb{Z}$}
+lok min {$\frac{3\pi}2+2k\pi,k\in\mathbb{Z}$}
+
+$sin(-\frac\pi2)=-sin\frac\pi2=-1$
+$sin(-\pi)=0$
+