{"id":1006,"date":"2025-08-29T22:30:52","date_gmt":"2025-08-29T15:30:52","guid":{"rendered":"https:\/\/people.usd.ac.id\/~ydkristanto\/?page_id=1006"},"modified":"2026-06-17T16:17:12","modified_gmt":"2026-06-17T09:17:12","slug":"grafik-fungsi-sinus","status":"publish","type":"page","link":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/media-pengajaran\/grafik-fungsi-sinus\/","title":{"rendered":"Grafik Fungsi Sinus"},"content":{"rendered":"\n<div class=\"wp-block-buttons is-content-justification-right\">\n<div class=\"wp-block-button is-style-outline\"><a class=\"wp-block-button__link\" href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/media-pengajaran\/sine-function-graph\/\">EN<\/a><\/div>\n<\/div>\n\n\n\n<p class=\"has-drop-cap\">Ingin berinteraksi dengan lingkaran satuan dan grafik fungsi sinus? Ilustrasi berikut ini menunjukkan bagaimana grafik fungsi sinus terbentuk ketika besar sudutnya berubah-ubah. Untuk berinteraksi dengan media di bawah ini, silakan geser titik berwarna hitam di bagian bawah ke kiri atau ke kanan. Klik tombol &#8216;Rekam jejak&#8217; untuk merekam jejak titik ungu dan klik &#8216;Berhenti rekam&#8217; untuk mengentikan perekaman jejak titik tersebut. Klik &#8216;Hapus&#8217; untuk menghapus semua rekaman jejak titik yang telah terbentuk.<\/p>\n\n\n\n<div class=\"wp-block-group alignfull has-dark-gray-background-color has-background\"><div class=\"wp-block-group__inner-container\">\n<div id=\"calculator\" class=\"alignwide\" style=\"width: 800px; height: 450px;\"><\/div>\n\n<script>\n  var elt = document.getElementById('calculator');\n  var calculator = Desmos.GraphingCalculator(elt, {\n    expressions: false,\n    settingsMenu: false\n  });\n\n  \/\/ Paste the state you copied here:\n  var state = {\n    \"version\": 11,\n    \"randomSeed\": \"4915c29833a62b0fa6ef8bec3f5ad2e6\",\n    \"graph\": {\n        \"viewport\": {\n            \"xmin\": -4.51406996598326,\n            \"ymin\": -10.222290142547937,\n            \"xmax\": 7.075559390056093,\n            \"ymax\": 10.204748760307563\n        },\n        \"showGrid\": false,\n        \"showXAxis\": false,\n        \"showYAxis\": false,\n        \"xAxisStep\": 1,\n        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\"labelOrientation\": \"below\",\n                \"labelSize\": \"1\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"100\",\n                \"folderId\": \"34\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(0,1.5\\\\right)\",\n                \"showLabel\": true,\n                \"label\": \"`y`\",\n                \"hidden\": true,\n                \"labelOrientation\": \"above\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"45\",\n                \"folderId\": \"34\",\n                \"color\": \"#000000\",\n                \"latex\": \"x=t_{0}\\\\left\\\\{0\\\\le y\\\\le\\\\sin t_{0}\\\\right\\\\}\\\\left\\\\{\\\\sin t_{0}\\\\ge0\\\\right\\\\}\",\n                \"hidden\": true,\n                \"lineStyle\": \"DASHED\",\n                \"lineWidth\": \"1\"\n            },\n            {\n                \"type\": \"expression\",\n   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\"id\": \"52\",\n                \"folderId\": \"34\",\n                \"color\": \"#c74440\",\n                \"latex\": \"y_{text}=\\\\operatorname{round}\\\\left(\\\\sin\\\\left(t_{0}\\\\right),2\\\\right)\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"22\",\n                \"folderId\": \"34\",\n                \"color\": \"#c74440\",\n                \"latex\": \"A=\\\\left(t_{0},f\\\\left(t_{0}\\\\right)\\\\right)\",\n                \"label\": \"`\\\\left( ${x_{text}}, ${y_{text}}\\\\right)`\",\n                \"dragMode\": \"NONE\",\n                \"labelSize\": \".75\",\n                \"pointOutline\": true,\n                \"colorLatex\": \"w_{1}\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"111\",\n                \"folderId\": \"34\",\n                \"color\": \"#c74440\",\n                \"latex\": \"\\\\left(t_{0},0\\\\right)\",\n                \"hidden\": true,\n                \"colorLatex\": \"w_{5}\",\n                \"pointSize\": \"5\",\n                \"movablePointSize\": \"5\"\n            },\n            {\n                \"type\": \"folder\",\n                \"id\": \"168\",\n                \"title\": \"Jejak titik\",\n                \"collapsed\": true,\n                \"secret\": true\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"169\",\n                \"folderId\": \"168\",\n                \"color\": \"#388c46\",\n                \"latex\": \"h_{apus}=A_{daftar}\\\\to\\\\left[\\\\left(0,0\\\\right)\\\\right]\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"170\",\n                \"folderId\": \"168\",\n                \"color\": \"#6042a6\",\n                \"latex\": \"A_{daftar}=\\\\left[\\\\left(0,0\\\\right)\\\\right]\",\n                \"hidden\": true\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"171\",\n                \"folderId\": \"168\",\n                \"color\": \"#000000\",\n                \"latex\": \"i_{nList}\\\\left(L_{ist},P\\\\right)=\\\\left\\\\{\\\\operatorname{total}\\\\left(\\\\sum_{n=\\\\left[1...\\\\operatorname{length}\\\\left(L_{ist}\\\\right)\\\\right]}^{\\\\left[1...\\\\operatorname{length}\\\\left(L_{ist}\\\\right)\\\\right]}\\\\left\\\\{P.x=L_{ist}\\\\left[n\\\\right].x:\\\\left\\\\{P.y=L_{ist}\\\\left[n\\\\right].y:1,0\\\\right\\\\},0\\\\right\\\\}\\\\right)\\\\ge1:1,0\\\\right\\\\}\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"172\",\n                \"folderId\": \"168\",\n                \"color\": \"#c74440\",\n                \"latex\": \"t_{ambah}=\\\\left\\\\{i_{nList}\\\\left(A_{daftar},A\\\\right)=0:A_{daftar}\\\\to\\\\operatorname{join}\\\\left(A_{daftar},A\\\\right)\\\\right\\\\}\"\n            },\n            {\n       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},\n            {\n                \"type\": \"expression\",\n                \"id\": \"152\",\n                \"folderId\": \"151\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\operatorname{polygon}\\\\left(\\\\left(6.75,2.5\\\\right),\\\\left(4.25,2.5\\\\right),\\\\left(4.25,2\\\\right),\\\\left(6.75,2\\\\right)\\\\right)\",\n                \"fill\": true,\n                \"fillOpacity\": \"0\",\n                \"lineWidth\": \"1.25\",\n                \"clickableInfo\": {\n                    \"enabled\": true,\n                    \"latex\": \"r_{ekam}\\\\to1-r_{ekam}\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"158\",\n                \"folderId\": \"151\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(\\\\frac{6.75+4.25}{2},\\\\frac{2.5+2}{2}\\\\left\\\\{r_{ekam}=0\\\\right\\\\}\\\\right)\",\n                \"showLabel\": true,\n       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      {\n                \"type\": \"expression\",\n                \"id\": \"166\",\n                \"folderId\": \"151\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(\\\\frac{4+2.75}{2},\\\\frac{2.5+2}{2}\\\\right)\",\n                \"showLabel\": true,\n                \"label\": \"Hapus\",\n                \"hidden\": true,\n                \"labelSize\": \".9\",\n                \"pointOpacity\": \".8\"\n            },\n            {\n                \"type\": \"folder\",\n                \"id\": \"9\",\n                \"title\": \"Warna\",\n                \"collapsed\": true,\n                \"secret\": true\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"155\",\n                \"folderId\": \"9\",\n                \"color\": \"#6042a6\",\n                \"latex\": \"p_{utih}=\\\\operatorname{rgb}\\\\left(255,255,255\\\\right)\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"10\",\n                \"folderId\": \"9\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"w_{1}=\\\\operatorname{rgb}\\\\left(227,45,145\\\\right)\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"11\",\n                \"folderId\": \"9\",\n                \"color\": \"#388c46\",\n                \"latex\": \"w_{2}=\\\\operatorname{rgb}\\\\left(78,166,220\\\\right)\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"12\",\n                \"folderId\": \"9\",\n                \"color\": \"#6042a6\",\n                \"latex\": \"w_{3}=\\\\operatorname{rgb}\\\\left(137,113,225\\\\right)\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"13\",\n                \"folderId\": \"9\",\n                \"color\": \"#000000\",\n                \"latex\": 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\"above\",\n                \"labelSize\": \"0.75\",\n                \"pointOpacity\": \".3\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"175\",\n                \"color\": \"#c74440\"\n            }\n        ],\n        \"ticker\": {\n            \"handlerLatex\": \"\\\\left\\\\{r_{ekam}=1:t_{ambah}\\\\right\\\\}\",\n            \"playing\": true,\n            \"open\": true\n        }\n    },\n    \"includeFunctionParametersInRandomSeed\": true,\n    \"doNotMigrateMovablePointStyle\": true\n};\n\n  calculator.setState(state);\n<\/script>\n<\/div><\/div>\n\n\n\n<p>Selama berinteraksi dengan media interaktif di atas, gunakan poin-poin berikut sebagai panduan belajar.<\/p>\n\n\n\n<ul><li>Panjang ruas garis hijau dan ungu pada sumbu-<em>x<\/em> dan sumbu-<em>y<\/em> menunjukkan apa? Adakah hubungannya dengan lingkaran satuan di sebelah kiri?<\/li><li>Titik berwarna merah muda pada bidang koordinat menggambarkan apa? Ketika slidernya digeser ke kiri atau kanan, bagaimana pergerakan titik tersebut? Apa yang mempengaruhi pergerakannya?<\/li><li>Silakan klik tombol &#8216;Rekam jejak&#8217;, jika belum, kemudian geserlah slidernya ke kiri dan kanan. Jejak-jejak titik merah muda yang terbentuk menggambarkan apa? Apa yang diperoleh jika semua kemungkinan jejak titik tersebut digambar?<\/li><\/ul>\n\n\n\n<p>Selamat bersenang-senang!<\/p>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<div class=\"wp-block-group is-style-twentytwentyone-border\"><div class=\"wp-block-group__inner-container\">\n<div class=\"related-topics\">\n  <h3>Jelajahi topik-topik terkait<\/h3>\n  <p>Temukan konten-konten terkait lainnya dalam situs web ini.<\/p>\n  <ul class=\"topics-list\">\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Matematika\">Matematika<\/a><\/li>\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Aljabar\">Aljabar<\/a><\/li>\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Fungsi+Trigonometri\">Fungsi Trigonometri<\/a><\/li>\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Fungsi+Sinus\">Fungsi Sinus<\/a><\/li>\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Grafik\">Grafik<\/a><\/li>\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Sumber+Belajar+Interaktif\">Sumber Belajar Interaktif<\/a><\/li>\n  <\/ul>\n<\/div>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Ilustrasi berikut ini menunjukkan bagaimana grafik fungsi sinus terbentuk ketika besar sudutnya berubah-ubah.<\/p>\n","protected":false},"author":1,"featured_media":1129,"parent":882,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - 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