{"id":839,"date":"2017-10-06T09:30:44","date_gmt":"2017-10-06T13:30:44","guid":{"rendered":"http:\/\/advancedmathyoungstudents.com\/blog\/?p=839"},"modified":"2021-08-24T19:19:36","modified_gmt":"2021-08-24T23:19:36","slug":"that-trigonometry-diagram-again","status":"publish","type":"post","link":"https:\/\/advancedmathyoungstudents.com\/blog\/?p=839","title":{"rendered":"That Trigonometry Diagram Again"},"content":{"rendered":"<p>Since I started this blog, one recurring goal has been to explore ways to visualize mathematical ideas.\u00a0 In that spirit,\u00a0 I spent a few posts talking about this diagram here:<a href=\"http:\/\/advancedmathyoungstudents.com\/blog\/2014\/12\/16\/better-with-pictures-the-trigonometry-version\/post25pic4-2\/\" rel=\"attachment wp-att-408\"><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-408\" src=\"http:\/\/advancedmathyoungstudents.com\/blog\/wp-content\/uploads\/2014\/12\/post25pic41.png\" alt=\"post25pic4\" width=\"803\" height=\"669\" srcset=\"https:\/\/advancedmathyoungstudents.com\/blog\/wp-content\/uploads\/2014\/12\/post25pic41.png 803w, https:\/\/advancedmathyoungstudents.com\/blog\/wp-content\/uploads\/2014\/12\/post25pic41-300x249.png 300w, https:\/\/advancedmathyoungstudents.com\/blog\/wp-content\/uploads\/2014\/12\/post25pic41-360x300.png 360w\" sizes=\"(max-width: 803px) 100vw, 803px\" \/><\/a><\/p>\n<p>These three posts discuss the development of this diagram:<\/p>\n<p><a href=\"http:\/\/wp.me\/p4uvY7-6p\">Also Better With Pictures &#8212; The Trigonometry Ratios<\/a><\/p>\n<p><a href=\"http:\/\/wp.me\/p4uvY7-6E\">Picturing the Trigonometric Ratios: Step-by-step<\/a><\/p>\n<p><a href=\"http:\/\/wp.me\/p4uvY7-6Z\">Trig Pictures, Part III<\/a><\/p>\n<p>Whenever I show this diagram to students, they seem actually excited to discover the meaning and reasons behind so much trigonometry that they had previously just memorized.\u00a0 It makes me believe that it would be helpful if this diagram was displayed in every room where trigonometry is introduced.\u00a0 And now it can be!\u00a0 I tidied up the graphics and made it into a poster.<\/p>\n<p><a href=\"http:\/\/advancedmathyoungstudents.com\/blog\/2017\/10\/06\/that-trigonometry-diagram-again\/trig-poster-6\/\" rel=\"attachment wp-att-841\"><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-841\" src=\"http:\/\/advancedmathyoungstudents.com\/blog\/wp-content\/uploads\/2017\/10\/trig-poster-6.png\" alt=\"trig poster 6\" width=\"3300\" height=\"4200\" srcset=\"https:\/\/advancedmathyoungstudents.com\/blog\/wp-content\/uploads\/2017\/10\/trig-poster-6.png 3300w, https:\/\/advancedmathyoungstudents.com\/blog\/wp-content\/uploads\/2017\/10\/trig-poster-6-236x300.png 236w, https:\/\/advancedmathyoungstudents.com\/blog\/wp-content\/uploads\/2017\/10\/trig-poster-6-768x977.png 768w, https:\/\/advancedmathyoungstudents.com\/blog\/wp-content\/uploads\/2017\/10\/trig-poster-6-805x1024.png 805w\" sizes=\"(max-width: 3300px) 100vw, 3300px\" \/><\/a><\/p>\n<p>Here it is, available to download, in two convenient sizes:<\/p>\n<p>For your notebook (8.5&#8243; x 11&#8243;) \u00a0<a href=\"http:\/\/advancedmathyoungstudents.com\/blog\/2017\/10\/06\/that-trigonometry-diagram-again\/trig-diagram-notebook-sized\/\" target=\"_blank\" rel=\"attachment noopener wp-att-848 noreferrer\">Trig Diagram Notebook-sized<\/a><\/p>\n<p>For your wall (22&#8243; x 28&#8243; )\u00a0<a href=\"http:\/\/advancedmathyoungstudents.com\/blog\/2017\/10\/06\/that-trigonometry-diagram-again\/trig-poster-6-2\/\" target=\"_blank\" rel=\"attachment noopener wp-att-847 noreferrer\">Trig Diagram Poster-Sized<\/a><\/p>\n<p>Also, I recently gave a workshop about this. You can see the slides <a href=\"https:\/\/docs.google.com\/presentation\/d\/1xkqZ3Hd0XW-rugo19OAU3CA6Yn8uzuZ9oPVUTRnhV_M\/edit?usp=sharing\" target=\"_blank\" rel=\"noopener noreferrer\">here<\/a>.<\/p>\n<p>COMING SOON: T-SHIRTS!!\u00a0 (Maybe)<\/p>\n<p><strong>UPDATE 11\/1\/2017\u00a0<em>My obsession continues&#8230;now you can see an animated version.\u00a0 I made this in <\/em>Desmos<em>. \u00a0<\/em><em>You can see it here: <\/em><\/strong><\/p>\n<p><a href=\"https:\/\/www.desmos.com\/calculator\/mvj7yljovi\"><strong><em>\u00a0https:\/\/www.desmos.com\/calculator\/mvj7yljovi<\/em><\/strong><\/a><\/p>\n<div id=\"kgvid_kgvid_0_wrapper\" class=\"kgvid_wrapper\">\n\t\t\t<div id=\"video_kgvid_0_div\" class=\"fitvidsignore kgvid_videodiv\" data-id=\"kgvid_0\" data-kgvid_video_vars=\"{&quot;id&quot;:&quot;kgvid_0&quot;,&quot;attachment_id&quot;:865,&quot;player_type&quot;:&quot;Video.js&quot;,&quot;width&quot;:&quot;640&quot;,&quot;height&quot;:&quot;469&quot;,&quot;fullwidth&quot;:&quot;false&quot;,&quot;countable&quot;:true,&quot;count_views&quot;:&quot;quarters&quot;,&quot;start&quot;:&quot;&quot;,&quot;autoplay&quot;:&quot;false&quot;,&quot;pauseothervideos&quot;:&quot;false&quot;,&quot;set_volume&quot;:1,&quot;muted&quot;:&quot;false&quot;,&quot;meta&quot;:true,&quot;endofvideooverlay&quot;:false,&quot;resize&quot;:&quot;true&quot;,&quot;auto_res&quot;:&quot;automatic&quot;,&quot;pixel_ratio&quot;:&quot;true&quot;,&quot;right_click&quot;:&quot;on&quot;,&quot;playback_rate&quot;:&quot;false&quot;,&quot;title&quot;:&quot;Unit Circle Trig&quot;,&quot;nativecontrolsfortouch&quot;:&quot;true&quot;,&quot;locale&quot;:&quot;en&quot;,&quot;enable_resolutions_plugin&quot;:false}\" itemprop=\"video\" itemscope itemtype=\"https:\/\/schema.org\/VideoObject\"><meta itemprop=\"embedUrl\" content=\"https:\/\/advancedmathyoungstudents.com\/blog\/?attachment_id=865&#038;kgvid_video_embed%5Benable%5D=true\"><meta itemprop=\"contentUrl\" content=\"https:\/\/advancedmathyoungstudents.com\/blog\/wp-content\/uploads\/2017\/10\/Unit-Circle-Trig.mp4\"><meta itemprop=\"name\" content=\"Unit Circle Trig\"><meta itemprop=\"description\" content=\"Video\"><meta itemprop=\"uploadDate\" content=\"2017-11-07T09:56:29-04:00\">\n\t\t\t\t<video id=\"video_kgvid_0\" playsinline controls preload=\"metadata\" width=\"640\" height=\"469\" class=\"fitvidsignore video-js kg-video-js-skin\">\n\t\t\t\t\t<source src=\"https:\/\/advancedmathyoungstudents.com\/blog\/wp-content\/uploads\/2017\/10\/Unit-Circle-Trig.mp4?id=0\" type=\"video\/mp4\" data-res=\"516p\">\n\t\t\t\t<\/video>\n\t\t\t<\/div>\n\t\t\t<div style=\"display:none\" id=\"video_kgvid_0_meta\" class=\"kgvid_video_meta kgvid_video_meta_hover \">\n\t\t\t\t<span class='kgvid_meta_icons'><\/span>\n\t\t\t\t<span id='video_kgvid_0_title' class='kgvid_title'>Unit Circle Trig<\/span>\n<\/div>\n\t\t<\/div>\n<p>Now, how do I get THAT on a t-shirt?<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Since I started this blog, one recurring goal has been to explore ways to visualize mathematical ideas.\u00a0 In that spirit,\u00a0 I spent a few posts talking about this diagram here: These three posts discuss the development of this diagram: Also &hellip; <a href=\"https:\/\/advancedmathyoungstudents.com\/blog\/?p=839\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false},"categories":[1],"tags":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p4uvY7-dx","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/advancedmathyoungstudents.com\/blog\/index.php?rest_route=\/wp\/v2\/posts\/839"}],"collection":[{"href":"https:\/\/advancedmathyoungstudents.com\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/advancedmathyoungstudents.com\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/advancedmathyoungstudents.com\/blog\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/advancedmathyoungstudents.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=839"}],"version-history":[{"count":17,"href":"https:\/\/advancedmathyoungstudents.com\/blog\/index.php?rest_route=\/wp\/v2\/posts\/839\/revisions"}],"predecessor-version":[{"id":16069,"href":"https:\/\/advancedmathyoungstudents.com\/blog\/index.php?rest_route=\/wp\/v2\/posts\/839\/revisions\/16069"}],"wp:attachment":[{"href":"https:\/\/advancedmathyoungstudents.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=839"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/advancedmathyoungstudents.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=839"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/advancedmathyoungstudents.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=839"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}