vault backup: 2023-03-23 14:11:58

notes/.obsidian/plugins/obsidian-activity-history/data.json

@@ -12,8 +12,8 @@
   "checkpointList": [
     {
       "path": "/",
-      "date": "2023-03-22",
-      "size": 984093
+      "date": "2023-03-23",
+      "size": 984823
     }
   ],
   "activityHistory": [
@@ -1143,6 +1143,10 @@
         {
           "date": "2023-03-22",
           "value": 58
+        },
+        {
+          "date": "2023-03-23",
+          "value": 730
         }
       ]
     }

notes/.obsidian/plugins/various-complements/data.json

@@ -142,6 +142,30 @@
           "lastUpdated": 1679396268129
         }
       }
+    },
+    "k\\in\\mathbb{Z}": {
+      "k\\in\\mathbb{Z}": {
+        "currentFile": {
+          "count": 9,
+          "lastUpdated": 1679566996452
+        }
+      }
+    },
+    "\\frac\\pi2+2k\\pi": {
+      "\\frac\\pi2+2k\\pi": {
+        "currentFile": {
+          "count": 1,
+          "lastUpdated": 1679566397372
+        }
+      }
+    },
+    "\\frac{3\\pi}2+2k\\pi": {
+      "\\frac{3\\pi}2+2k\\pi": {
+        "currentFile": {
+          "count": 1,
+          "lastUpdated": 1679566408311
+        }
+      }
     }
   }
 }

notes/.obsidian/workspace.json

@@ -11,8 +11,12 @@
             "id": "e0bf05276f7aadee",
             "type": "leaf",
             "state": {
-              "type": "empty",
-              "state": {}
+              "type": "markdown",
+              "state": {
+                "file": "mat/Funkce/Cosinus.md",
+                "mode": "source",
+                "source": false
+              }
             }
           }
         ]
@@ -73,6 +77,7 @@
             "state": {
               "type": "backlink",
               "state": {
+                "file": "mat/Funkce/Cosinus.md",
                 "collapseAll": false,
                 "extraContext": false,
                 "sortOrder": "alphabetical",
@@ -89,6 +94,7 @@
             "state": {
               "type": "outgoing-link",
               "state": {
+                "file": "mat/Funkce/Cosinus.md",
                 "linksCollapsed": false,
                 "unlinkedCollapsed": true
               }
@@ -134,7 +140,9 @@
             "type": "leaf",
             "state": {
               "type": "outline",
-              "state": {}
+              "state": {
+                "file": "mat/Funkce/Cosinus.md"
+              }
             }
           },
           {
@@ -210,6 +218,12 @@
   },
   "active": "e0bf05276f7aadee",
   "lastOpenFiles": [
+    "mat/Funkce/Cotangens.md",
+    "mat/Funkce/Sinus.md",
+    "mat/Funkce/Cosinus.md",
+    "mat/Funkce/Tangens.md",
+    "mat/Funkce/Příklady.md",
+    "mat/mat.md",
     "cjl/literatura/slohy/slohy.md",
     "cjl/literatura/Bachorka.md",
     "cjl/cjl.md",
@@ -230,13 +244,7 @@
     "fyz/Mechanika tekutin/Proudění/Odporová síla.md",
     "Untitled.md",
     "fyz/Pevne blbosti/Deformace.md",
-    "fyz/Pevne blbosti/Pevne blbosti.md",
-    "fyz/Mechanika tekutin/Příklady 14.11..md",
     "fyz/Pevne blbosti",
-    "mat/Funkce/Goniometrické funkce.md",
-    "mat/Funkce/Samostudium 15.md",
-    "mat/Funkce/Samostudium 17..md",
-    "mat/Funkce/Samostudium 18.md",
     "data/Pasted image 20230308104205.png",
     "data/Pasted image 20230308104129.png",
     "data/Pasted image 20230308103659.png",

notes/mat/Funkce/Cosinus.md

@@ -11,6 +11,8 @@ Přilehlá strana ku přeponě v pravoúhlém trojúhelníku.
 perioda $2\pi$
 $\cos x=\sin(x+\frac\pi2),\forall x \in\mathbb{R}$
 
+$\sin^2x+\cos^2x=1$
+
 $y=A\sin(Bx+C)+D; A,B,C,D\in\mathbb{R}$
 
 $A>0\updownarrow$ $B>1\leftrightarrow$ (obracene)
@@ -22,3 +24,18 @@ $D<0\downarrow$
 $C>0\leftarrow$
 $C<0\rightarrow$
 
+---
+
+$\cos x=0$
+$x=\frac\pi2+k\pi,k\in\mathbb{Z}$
+
+$\cos x=1$
+$x=2k\pi,k\in\mathbb{Z}$
+
+$\cos x=-1$
+$x=\pi+2k\pi,k\in\mathbb{Z}$
+
+$\cos x=-\frac{\sqrt2}2$
+$x_0=\frac\pi4$
+$x_1=\frac{3\pi}4+2k\pi,k\in\mathbb{Z}$
+$x_2=\frac{5\pi}4+2k\pi,k\in\mathbb{Z}$

notes/mat/Funkce/Příklady.md

@@ -644,3 +644,6 @@ $1=4\sin x+4(1-\sin^2x)$
 $1=4\sin x+4-4\sin^2x$
 $k=\sin x$
 $4k^2-4k-3=0$
+
+---
+

notes/mat/Funkce/Sinus.md

@@ -14,3 +14,23 @@ lok min {$\frac{3\pi}2+2k\pi,k\in\mathbb{Z}$}
 $sin(-\frac\pi2)=-sin\frac\pi2=-1$
 $sin(-\pi)=0$
 
+---
+
+$\sin x=0$
+$x_1=0+2k\pi$
+$x_2=\pi+2k\pi$
+$x=k\pi,k\in\mathbb{Z}$
+
+$\sin x=1$
+$x=\frac\pi2+2k\pi,k\in\mathbb{Z}$
+
+$\sin x=-1$
+$x=\frac{3\pi}2+2k\pi,k\in\mathbb{Z}$
+
+$\sin x=\frac12$
+$x_1=\frac\pi6+2k\pi$
+$x_2=\frac{5\pi}6+2k\pi,k\in\mathbb{Z}$
+
+$\sin x=-\frac12$
+$x_1=\frac{7\pi}6+2k\pi,k\in\mathbb{Z}$
+$x_2=\frac{11\pi}6+2k\pi,k\in\mathbb{Z}$

notes/mat/Funkce/Tangens.md

@@ -37,6 +37,17 @@ ve 3. kv. je $\frac--=+$
 ![](Pasted%20image%2020230302110903.png)
 
 
+---
+
+$\tg x=0$
+$x=k\pi,k\in\mathbb{Z}$
+
+$\tg x=1$
+$x=\frac\pi4+k\pi$
+
+$\tg x=-1$
+$x=\frac{3\pi}4+k\pi$
+
 
 
 ---