vault backup: 2023-03-09 11:40:25

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

@@ -12,8 +12,8 @@
   "checkpointList": [
     {
       "path": "/",
-      "date": "2023-03-08",
-      "size": 980206
+      "date": "2023-03-09",
+      "size": 981587
     }
   ],
   "activityHistory": [
@@ -1130,7 +1130,11 @@
         },
         {
           "date": "2023-03-08",
-          "value": 384
+          "value": 1256
+        },
+        {
+          "date": "2023-03-09",
+          "value": 593
         }
       ]
     }

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

@@ -150,6 +150,14 @@
           "lastUpdated": 1678209536593
         }
       }
+    },
+    "řešení": {
+      "řešení": {
+        "currentFile": {
+          "count": 1,
+          "lastUpdated": 1678271482640
+        }
+      }
     }
   }
 }

notes/.obsidian/workspace.json

@@ -8,24 +8,24 @@
         "type": "tabs",
         "children": [
           {
-            "id": "7df29fdf3742280a",
+            "id": "e2420feff8894862",
             "type": "leaf",
             "state": {
               "type": "markdown",
               "state": {
-                "file": "mat/Funkce/Samostudium 17..md",
+                "file": "mat/Funkce/Samostudium 15.md",
                 "mode": "source",
                 "source": false
               }
             }
           },
           {
-            "id": "e2420feff8894862",
+            "id": "7df29fdf3742280a",
             "type": "leaf",
             "state": {
               "type": "markdown",
               "state": {
-                "file": "cjl/cjl.md",
+                "file": "mat/Funkce/Samostudium 17..md",
                 "mode": "source",
                 "source": false
               }
@@ -66,21 +66,9 @@
                 "source": false
               }
             }
-          },
-          {
-            "id": "d47c72de1b77f8b3",
-            "type": "leaf",
-            "state": {
-              "type": "markdown",
-              "state": {
-                "file": "cjl/literatura/slohy/Romantismus/Kytice.md",
-                "mode": "source",
-                "source": false
-              }
-            }
           }
         ],
-        "currentTab": 2
+        "currentTab": 3
       }
     ],
     "direction": "vertical"
@@ -138,7 +126,7 @@
             "state": {
               "type": "backlink",
               "state": {
-                "file": "mat/Funkce/Samostudium 18.md",
+                "file": "mat/Funkce/Příklady.md",
                 "collapseAll": false,
                 "extraContext": false,
                 "sortOrder": "alphabetical",
@@ -155,7 +143,7 @@
             "state": {
               "type": "outgoing-link",
               "state": {
-                "file": "mat/Funkce/Samostudium 18.md",
+                "file": "mat/Funkce/Příklady.md",
                 "linksCollapsed": false,
                 "unlinkedCollapsed": true
               }
@@ -202,7 +190,7 @@
             "state": {
               "type": "outline",
               "state": {
-                "file": "mat/Funkce/Samostudium 18.md"
+                "file": "mat/Funkce/Příklady.md"
               }
             }
           },
@@ -277,18 +265,18 @@
       "breadcrumbs:Breadcrumbs Visualisation": false
     }
   },
-  "active": "60971bc725cf3316",
+  "active": "84a4caaefb7062c3",
   "lastOpenFiles": [
+    "mat/Funkce/Goniometrické funkce.md",
+    "mat/Funkce/Příklady.md",
+    "mat/Funkce/Samostudium 18.md",
+    "mat/Funkce/Samostudium 17..md",
+    "mat/Funkce/Samostudium 15.md",
+    "cjl/cjl.md",
     "data/Pasted image 20230308104205.png",
     "data/Pasted image 20230308104129.png",
     "data/Pasted image 20230308103659.png",
-    "cjl/cjl.md",
-    "mat/Funkce/Samostudium 18.md",
-    "mat/Funkce/Samostudium 15.md",
-    "mat/Funkce/Samostudium 17..md",
     "cjl/literatura/slohy/Romantismus/Kytice.md",
-    "mat/Funkce/Příklady.md",
-    "mat/Funkce/Goniometrické funkce.md",
     "mat/Funkce/Převody stupňů na radiány.md",
     "mat/mat.md",
     "cjl/jazyky/jazyky.md",
@@ -303,7 +291,6 @@
     "data/Pasted image 20230307122109.png",
     "data/Pasted image 20230307121956.png",
     "data/Pasted image 20230307121620.png",
-    "data/Pasted image 20230307121603.png",
     "fyz/Mechanika tekutin/Termodynamika/Termodynamika.md",
     "Untitled.canvas",
     "mat/Funkce/Cotangens.md",

notes/mat/Funkce/Goniometrické funkce.md

@@ -46,6 +46,7 @@ $\cos\beta=\frac{x_B}1=x_B$
 | $\tg \alpha$   | 0            | $\frac{\sqrt3}3$      | $1$                   | $\sqrt3$              | -                      |
 | $\cotg \alpha$ | -            | $\sqrt3$              | $1$                   | $\frac{\sqrt3}3$      | 0                     |
 
+$\sin^2x+\cos^2x=1$
 
 ---
 

notes/mat/Funkce/Příklady.md

@@ -561,3 +561,86 @@ $x=\tg^{-1}(-3)$
 $x=-71\degree33'$
 
 ---
+
+
+52/6 i
+
+$\sqrt2\cos(4\pi+2x)=-1$
+$t=4\pi+2x$
+$\cos(t)=-\frac1{\sqrt2}$
+
+$\frac{\sqrt2}2=\frac{1}{\sqrt2}$ … rozšířit $*\frac{\sqrt2}{\sqrt2}=\frac{\sqrt2}2$
+
+$\cos(t)=-\frac{\sqrt2}2$
+$t_1=\frac34\pi+2k\pi$
+$4\pi+2x=\frac34\pi+2k\pi$
+$2x=\frac34\pi+2k\pi-4\pi$
+$2x=-3\frac14\pi+2k\pi$
+
+$\underline{x=\frac{13}8\pi+k\pi}$
+
+$t_2=\frac54\pi+2k\pi$
+$4\pi+2x=\frac54\pi+2k\pi$
+$2x=-\frac{11}4\pi+2k\pi$
+
+$\underline{x=-\frac{11}8\pi+k\pi}$
+
+
+---
+
+$2\tg(x)\sin(3x)=\sqrt3\tg x$
+$2\tg(x)\sin(3x)-\sqrt3\tg x=0$
+$\tg(x)(2\sin(3x)-\sqrt3)=0$
+
+$\tg(x)=0$
+$\underline{x=k\pi}$
+
+$2\sin(3x)-\sqrt3=0$
+$2\sin(3x)=\sqrt3$
+$sin(3x)=\frac{\sqrt3}2$
+$t=3x$
+
+$t=\frac\pi3+2k\pi$
+$3x=\frac\pi3+2k\pi$
+
+$\underline{x=\frac\pi9+\frac23k\pi}$
+
+$\underline{x=\frac{2\pi}9+\frac23k\pi}$
+
+3 sady řešení 
+
+---
+
+$2\sin x\cos5x=\sqrt2\sin x$
+$2\sin x\cos5x-\sqrt2\sin x=0$
+$\sin x(2\cos5x-\sqrt2)=0$
+
+$\sin x=0$
+$x=0\degree+k180\degree$
+
+$2\cos5x-\sqrt2=0$
+$2\cos 5x=\sqrt2$
+$\cos5x=\frac{\sqrt2}2$
+$\cos t=\frac{\sqrt2}2$
+$t_1=45\degree+k360\degree=5x$
+$x_1=9\degree+k72\degree$
+$t_2=315\degree=5x$
+$x_2=63\degree+k72\degree$
+
+---
+
+$1-4\cos^2x=4\sin x$
+$1-4\cos x\cos x=4\sin x$
+$1-4\cos x\cos x-4\sin x=0$
+$4\cos^2 x-4\sin x-1=0$
+$4\cos^2x-4\cos(x-\frac12\pi)-1=0$
+
+$\sin^2x+\cos^2x=1^2$
+$\cos^2x=1-\sin^x$
+
+$1=4\sin x+4\cos^2x$
+
+$1=4\sin x+4(1-\sin^2x)$
+$1=4\sin x+4-4\sin^2x$
+$k=\sin x$
+$4k^2-4k-3=0$