{"id":2408,"date":"2026-09-09T03:54:47","date_gmt":"2026-09-09T03:54:47","guid":{"rendered":"https:\/\/www.jrebsen.dk\/?post_type=aktivitet&#038;p=2408"},"modified":"2026-09-11T13:48:45","modified_gmt":"2026-09-11T13:48:45","slug":"fra-pythagoras-til-sinus-cosinus-og-tangens","status":"publish","type":"aktivitet","link":"https:\/\/www.jrebsen.dk\/?aktivitet=fra-pythagoras-til-sinus-cosinus-og-tangens","title":{"rendered":"Fra Pythagoras til sinus, cosinus og tangens"},"content":{"rendered":"\n<h4 class=\"wp-block-heading\">Intro (5 min)<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Det skal du bruge: <\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>KonteXt+ 9-bogen<\/li>\n\n\n\n<li>Computer<\/li>\n\n\n\n<li>Lommeregner <\/li>\n\n\n\n<li>kladdeh\u00e6fte og skriveredskaber<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Introopgave<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Hvad er afstanden mellem punkterne (1,2) og (4, 6)<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"345\" height=\"345\" src=\"https:\/\/www.jrebsen.dk\/wp-content\/uploads\/2026\/09\/image-6.png\" alt=\"\" class=\"wp-image-2421\" style=\"width:702px;height:auto\" srcset=\"https:\/\/www.jrebsen.dk\/wp-content\/uploads\/2026\/09\/image-6.png 345w, https:\/\/www.jrebsen.dk\/wp-content\/uploads\/2026\/09\/image-6-150x150.png 150w, https:\/\/www.jrebsen.dk\/wp-content\/uploads\/2026\/09\/image-6-300x300.png 300w\" sizes=\"auto, (max-width: 345px) 100vw, 345px\" \/><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Hvad kan man bruge Pytagoras s\u00e6tning til? (15 min)<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">SkoleDu-opgaven &#8216;<em>Brug Pythagoras&#8217;<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">F\u00e6lles start, hvorefter vi arbejder med sidemakker<\/p>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-1 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"734\" height=\"700\" data-id=\"2409\" src=\"https:\/\/www.jrebsen.dk\/wp-content\/uploads\/2026\/09\/Screenshot-2026-09-09-at-05.30.16.png\" alt=\"\" class=\"wp-image-2409\" style=\"width:450px;height:auto\" srcset=\"https:\/\/www.jrebsen.dk\/wp-content\/uploads\/2026\/09\/Screenshot-2026-09-09-at-05.30.16.png 734w, https:\/\/www.jrebsen.dk\/wp-content\/uploads\/2026\/09\/Screenshot-2026-09-09-at-05.30.16-300x286.png 300w\" sizes=\"auto, (max-width: 734px) 100vw, 734px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"746\" data-id=\"2410\" src=\"https:\/\/www.jrebsen.dk\/wp-content\/uploads\/2026\/09\/image-3-1024x746.png\" alt=\"\" class=\"wp-image-2410\" style=\"width:365px;height:auto\" srcset=\"https:\/\/www.jrebsen.dk\/wp-content\/uploads\/2026\/09\/image-3-1024x746.png 1024w, https:\/\/www.jrebsen.dk\/wp-content\/uploads\/2026\/09\/image-3-300x218.png 300w, https:\/\/www.jrebsen.dk\/wp-content\/uploads\/2026\/09\/image-3-768x559.png 768w, https:\/\/www.jrebsen.dk\/wp-content\/uploads\/2026\/09\/image-3.png 1358w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Forhold mellem en vinkel og trekantens sider (20 min)<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><em>KonteXt+ 9<\/em> opgaverne 1\u20137 p\u00e5 side 10\u201311 <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Geogebra-fil til stiger: <a href=\"https:\/\/www.geogebra.org\/classic\/rvfsmswy\">https:\/\/www.geogebra.org\/classic\/rvfsmswy<\/a><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Pause<\/h3>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1000\" height=\"350\" src=\"https:\/\/www.jrebsen.dk\/wp-content\/uploads\/2025\/04\/Pause-scale-e1744102122857.png\" alt=\"\" class=\"wp-image-1882\" srcset=\"https:\/\/www.jrebsen.dk\/wp-content\/uploads\/2025\/04\/Pause-scale-e1744102122857.png 1000w, https:\/\/www.jrebsen.dk\/wp-content\/uploads\/2025\/04\/Pause-scale-e1744102122857-300x105.png 300w, https:\/\/www.jrebsen.dk\/wp-content\/uploads\/2025\/04\/Pause-scale-e1744102122857-768x269.png 768w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Intro til Sinus og Cosinus()<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>F\u00e6lles start p\u00e5 <a href=\"https:\/\/app.skoledu.dk\/opgaver\/udskoling\/plane-figurer\/forloeb\/trigonometri\">SkoleDu-forl\u00f8bet om trigonometri<\/a>. Gennemg\u00e5 den f\u00f8rste opgave fra <em>Cosinus og Sinus<\/em> p\u00e5 tavlen. <\/li>\n\n\n\n<li> Efterfulgt af selvst\u00e6ndigt arbejde, evt med sidemakker<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-2 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"734\" height=\"700\" data-id=\"2409\" src=\"https:\/\/www.jrebsen.dk\/wp-content\/uploads\/2026\/09\/Screenshot-2026-09-09-at-05.30.16.png\" alt=\"\" class=\"wp-image-2409\" style=\"width:420px;height:auto\" srcset=\"https:\/\/www.jrebsen.dk\/wp-content\/uploads\/2026\/09\/Screenshot-2026-09-09-at-05.30.16.png 734w, https:\/\/www.jrebsen.dk\/wp-content\/uploads\/2026\/09\/Screenshot-2026-09-09-at-05.30.16-300x286.png 300w\" sizes=\"auto, (max-width: 734px) 100vw, 734px\" \/><\/figure>\n<\/figure>\n\n\n\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"515\" src=\"https:\/\/www.jrebsen.dk\/wp-content\/uploads\/2026\/09\/Screenshot-2026-09-09-at-05.49.01-1024x515.png\" alt=\"\" class=\"wp-image-2412\" style=\"aspect-ratio:1.988412125283399;width:408px;height:auto\" srcset=\"https:\/\/www.jrebsen.dk\/wp-content\/uploads\/2026\/09\/Screenshot-2026-09-09-at-05.49.01-1024x515.png 1024w, https:\/\/www.jrebsen.dk\/wp-content\/uploads\/2026\/09\/Screenshot-2026-09-09-at-05.49.01-300x151.png 300w, https:\/\/www.jrebsen.dk\/wp-content\/uploads\/2026\/09\/Screenshot-2026-09-09-at-05.49.01-768x386.png 768w, https:\/\/www.jrebsen.dk\/wp-content\/uploads\/2026\/09\/Screenshot-2026-09-09-at-05.49.01.png 1484w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u00a0To hold:<\/strong> Sander, Villads, Line, Ivalo, Karla J, Karla G, Ida, Benjamin og Narmin g\u00e5r med Jens<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><br>Individuelt arbejde<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Aftal med l\u00e6reren hvor du arbejder inden du forlader din plads<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"720\" height=\"405\" src=\"https:\/\/www.jrebsen.dk\/wp-content\/uploads\/2026\/09\/image-5.png\" alt=\"\" class=\"wp-image-2413\" style=\"width:498px;height:auto\" srcset=\"https:\/\/www.jrebsen.dk\/wp-content\/uploads\/2026\/09\/image-5.png 720w, https:\/\/www.jrebsen.dk\/wp-content\/uploads\/2026\/09\/image-5-300x169.png 300w\" sizes=\"auto, (max-width: 720px) 100vw, 720px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Milep\u00e6le for det selvst\u00e6ndige arbejde<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Start:<\/strong> Skriv, hvilke opgaver du vil n\u00e5.<\/li>\n\n\n\n<li><strong>Undervejs:<\/strong> Vis og forklar mindst \u00e9n l\u00f8st opgave.<\/li>\n\n\n\n<li><strong>Afslutning:<\/strong> Not\u00e9r, hvor langt du n\u00e5ede, og hvilken opgave du starter med n\u00e6ste gang.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">F\u00e6lles opsamling<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>sin<\/mi><mo>\u2061<\/mo><mo stretchy=\"false\">(<\/mo><mi>A<\/mi><mo stretchy=\"false\">)<\/mo><mo>=<\/mo><mfrac><mrow><mtext>modst<\/mtext><mover accent=\"true\"><mtext>a<\/mtext><mo>\u02da<\/mo><\/mover><mtext>ende&nbsp;katete<\/mtext><\/mrow><mtext>hypotenusen<\/mtext><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">\\sin(A)=\\frac{\\text{modst\u00e5ende katete}}{\\text{hypotenusen}}<\/annotation><\/semantics><\/math><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>cos<\/mi><mo>\u2061<\/mo><mo stretchy=\"false\">(<\/mo><mi>A<\/mi><mo stretchy=\"false\">)<\/mo><mo>=<\/mo><mfrac><mtext>hosliggende&nbsp;katete<\/mtext><mtext>hypotenusen<\/mtext><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">\\cos(A)=\\frac{\\text{hosliggende katete}}{\\text{hypotenusen}}<\/annotation><\/semantics><\/math><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>tan<\/mi><mo>\u2061<\/mo><mo stretchy=\"false\">(<\/mo><mi>A<\/mi><mo stretchy=\"false\">)<\/mo><mo>=<\/mo><mfrac><mrow><mtext>modst<\/mtext><mover accent=\"true\"><mtext>a<\/mtext><mo>\u02da<\/mo><\/mover><mtext>ende&nbsp;katete<\/mtext><\/mrow><mtext>hosliggende&nbsp;katete<\/mtext><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">\\tan(A)=\\frac{\\text{modst\u00e5ende katete}}{\\text{hosliggende katete}}<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Den centrale s\u00e6tning p\u00e5 tavlen:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\">Pythagoras beskriver sammenh\u00e6ngen mellem trekantens tre sider. Sinus, cosinus og tangens beskriver forholdet mellem siderne og en bestemt vinkel.<\/p>\n<\/blockquote>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Problem- og f\u00e6rdighedsregning<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">FP9 December 2023<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Aflevering torsdag d. 8. oktober<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"720\" height=\"405\" src=\"https:\/\/www.jrebsen.dk\/wp-content\/uploads\/2026\/09\/image-5.png\" alt=\"\" class=\"wp-image-2413\" style=\"width:498px;height:auto\" srcset=\"https:\/\/www.jrebsen.dk\/wp-content\/uploads\/2026\/09\/image-5.png 720w, https:\/\/www.jrebsen.dk\/wp-content\/uploads\/2026\/09\/image-5-300x169.png 300w\" sizes=\"auto, (max-width: 720px) 100vw, 720px\" \/><\/figure>\n\n\n<span class=\"jre-slideshow-marker\" data-start=\"normal\" hidden><\/span>\n","protected":false},"excerpt":{"rendered":"<p>Intro (5 min) Det skal du bruge: Introopgave Hvad er afstanden mellem punkterne (1,2) og (4, 6) Hvad kan man bruge Pytagoras s\u00e6tning til? (15 min) SkoleDu-opgaven &#8216;Brug Pythagoras&#8217; F\u00e6lles start, hvorefter vi arbejder med sidemakker Forhold mellem en vinkel og trekantens sider (20 min) KonteXt+ 9 opgaverne 1\u20137 p\u00e5 side 10\u201311 Geogebra-fil til stiger: [&hellip;]<\/p>\n","protected":false},"featured_media":0,"menu_order":0,"template":"","meta":[],"categories":[],"tags":[],"aktivitetstype":[],"elementrolle":[],"fag":[90],"fagomraade":[],"produkt":[],"class_list":["post-2408","aktivitet","type-aktivitet","status-publish","hentry","fag-matematik"],"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.jrebsen.dk\/index.php?rest_route=\/wp\/v2\/aktivitet\/2408","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.jrebsen.dk\/index.php?rest_route=\/wp\/v2\/aktivitet"}],"about":[{"href":"https:\/\/www.jrebsen.dk\/index.php?rest_route=\/wp\/v2\/types\/aktivitet"}],"wp:attachment":[{"href":"https:\/\/www.jrebsen.dk\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2408"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.jrebsen.dk\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2408"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.jrebsen.dk\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2408"},{"taxonomy":"aktivitetstype","embeddable":true,"href":"https:\/\/www.jrebsen.dk\/index.php?rest_route=%2Fwp%2Fv2%2Faktivitetstype&post=2408"},{"taxonomy":"elementrolle","embeddable":true,"href":"https:\/\/www.jrebsen.dk\/index.php?rest_route=%2Fwp%2Fv2%2Felementrolle&post=2408"},{"taxonomy":"fag","embeddable":true,"href":"https:\/\/www.jrebsen.dk\/index.php?rest_route=%2Fwp%2Fv2%2Ffag&post=2408"},{"taxonomy":"fagomraade","embeddable":true,"href":"https:\/\/www.jrebsen.dk\/index.php?rest_route=%2Fwp%2Fv2%2Ffagomraade&post=2408"},{"taxonomy":"produkt","embeddable":true,"href":"https:\/\/www.jrebsen.dk\/index.php?rest_route=%2Fwp%2Fv2%2Fprodukt&post=2408"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}