From 9dd50290e3ddc0fbe6daaa92e7ee8de58d44da27 Mon Sep 17 00:00:00 2001 From: Daniel Bulant Date: Thu, 9 Mar 2023 11:40:25 +0100 Subject: [PATCH] vault backup: 2023-03-09 11:40:25 --- .../obsidian-activity-history/data.json | 10 ++- .../plugins/various-complements/data.json | 8 ++ notes/.obsidian/workspace.json | 43 ++++------ notes/mat/Funkce/Goniometrické funkce.md | 1 + notes/mat/Funkce/Příklady.md | 83 +++++++++++++++++++ 5 files changed, 114 insertions(+), 31 deletions(-) diff --git a/notes/.obsidian/plugins/obsidian-activity-history/data.json b/notes/.obsidian/plugins/obsidian-activity-history/data.json index 4cf9066..80f2be8 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": "2023-03-08", - "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 } ] } diff --git a/notes/.obsidian/plugins/various-complements/data.json b/notes/.obsidian/plugins/various-complements/data.json index 0f8b41f..e0c7838 100644 --- a/notes/.obsidian/plugins/various-complements/data.json +++ b/notes/.obsidian/plugins/various-complements/data.json @@ -150,6 +150,14 @@ "lastUpdated": 1678209536593 } } + }, + "řešení": { + "řešení": { + "currentFile": { + "count": 1, + "lastUpdated": 1678271482640 + } + } } } } \ No newline at end of file diff --git a/notes/.obsidian/workspace.json b/notes/.obsidian/workspace.json index c31b5bd..b7d9a1a 100644 --- a/notes/.obsidian/workspace.json +++ b/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", diff --git a/notes/mat/Funkce/Goniometrické funkce.md b/notes/mat/Funkce/Goniometrické funkce.md index 8acaf12..e876f45 100644 --- a/notes/mat/Funkce/Goniometrické funkce.md +++ b/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 | +$\sin^2x+\cos^2x=1$ --- diff --git a/notes/mat/Funkce/Příklady.md b/notes/mat/Funkce/Příklady.md index 97d113e..ec8f6c9 100644 --- a/notes/mat/Funkce/Příklady.md +++ b/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 + +--- + +$2\sin x\cos5x=\sqrt2\sin x$ +$2\sin x\cos5x-\sqrt2\sin x=0$ +$\sin x(2\cos5x-\sqrt2)=0$ + +$\sin x=0$ +$x=0\degree+k180\degree$ + +$2\cos5x-\sqrt2=0$ +$2\cos 5x=\sqrt2$ +$\cos5x=\frac{\sqrt2}2$ +$\cos t=\frac{\sqrt2}2$ +$t_1=45\degree+k360\degree=5x$ +$x_1=9\degree+k72\degree$ +$t_2=315\degree=5x$ +$x_2=63\degree+k72\degree$ + +--- + +$1-4\cos^2x=4\sin x$ +$1-4\cos x\cos x=4\sin x$ +$1-4\cos x\cos x-4\sin x=0$ +$4\cos^2 x-4\sin x-1=0$ +$4\cos^2x-4\cos(x-\frac12\pi)-1=0$ + +$\sin^2x+\cos^2x=1^2$ +$\cos^2x=1-\sin^x$ + +$1=4\sin x+4\cos^2x$ + +$1=4\sin x+4(1-\sin^2x)$ +$1=4\sin x+4-4\sin^2x$ +$k=\sin x$ +$4k^2-4k-3=0$