{"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":"2025-09-09T15:14:25","modified_gmt":"2025-09-09T08:14:25","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        \"yAxisStep\": 1,\n        \"userLockedViewport\": true,\n        \"__v12ViewportLatexStash\": {\n            \"xmin\": \"-4.51406996598326\",\n            \"xmax\": \"7.075559390056093\",\n            \"ymin\": \"-10.222290142547937\",\n            \"ymax\": \"10.204748760307563\"\n        }\n    },\n    \"expressions\": {\n        \"list\": [\n            {\n                \"type\": \"folder\",\n                \"id\": \"118\",\n                \"title\": \"Slider\",\n                \"collapsed\": true,\n                \"secret\": true\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"5\",\n                \"folderId\": \"118\",\n                \"color\": \"#6042a6\",\n                \"latex\": \"t_{0}=0\",\n                \"slider\": {\n                    \"hardMin\": true,\n                    \"hardMax\": true,\n                    \"animationPeriod\": 20000,\n                    \"loopMode\": \"PLAY_ONCE\",\n                    \"min\": \"0\",\n                    \"max\": \"2\\\\pi\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"142\",\n                \"folderId\": \"118\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(t,-1.9\\\\right)\",\n                \"parametricDomain\": {\n                    \"min\": \"1.25-2\",\n                    \"max\": \"1.25+2\"\n                },\n                \"lineOpacity\": \".1\",\n                \"lineWidth\": \"10\",\n                \"domain\": {\n                    \"min\": \"1.25-2\",\n                    \"max\": \"1.25+2\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"143\",\n                \"folderId\": \"118\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(t,-1.9\\\\right)\",\n                \"parametricDomain\": {\n                    \"min\": \"1.25-2\",\n                    \"max\": \"\\\\frac{2}{\\\\pi}t_{0}-0.75\"\n                },\n                \"lineWidth\": \"4\",\n                \"domain\": {\n                    \"min\": \"1.25-2\",\n                    \"max\": \"\\\\frac{2}{\\\\pi}t_{0}-0.75\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"130\",\n                \"folderId\": \"118\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(\\\\frac{2}{\\\\pi}t_{0}-0.75,-1.9\\\\right)\"\n            },\n            {\n                \"type\": \"folder\",\n                \"id\": \"54\",\n                \"title\": \"Templat anak panah\",\n                \"collapsed\": true,\n                \"secret\": true\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"55\",\n                \"folderId\": \"54\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"A_{p1}=\\\\left[0,0\\\\right]\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"56\",\n                \"folderId\": \"54\",\n                \"color\": \"#388c46\",\n                \"latex\": \"A_{p2}=\\\\left[-0.2,0.1\\\\right]\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"57\",\n                \"folderId\": \"54\",\n                \"color\": \"#6042a6\",\n                \"latex\": \"A_{p3}=\\\\left[-0.125,0\\\\right]\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"58\",\n                \"folderId\": \"54\",\n                \"color\": \"#000000\",\n                \"latex\": \"A_{p4}=\\\\left[-0.2,-0.1\\\\right]\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"59\",\n                \"folderId\": \"54\",\n                \"color\": \"#c74440\",\n                \"latex\": \"r_{x}\\\\left(x,y,t\\\\right)=x\\\\cos t-y\\\\sin t\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"60\",\n                \"folderId\": \"54\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"r_{y}\\\\left(x,y,t\\\\right)=x\\\\sin t+y\\\\cos t\"\n            },\n            {\n                \"type\": \"folder\",\n                \"id\": \"7\",\n                \"title\": \"Lingkaran satuan\",\n                \"collapsed\": true,\n                \"secret\": true\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"49\",\n                \"folderId\": \"7\",\n                \"text\": \"Sumbu dan skalanya\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"137\",\n                \"folderId\": \"7\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(t,0\\\\right)\",\n                \"parametricDomain\": {\n                    \"min\": \"-4.5\",\n                    \"max\": \"-1.6\"\n                },\n                \"domain\": {\n                    \"min\": \"-4.5\",\n                    \"max\": \"-1.6\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"87\",\n                \"folderId\": \"7\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\operatorname{polygon}\\\\left(D_{p1}-\\\\left(8.5,0\\\\right),D_{p2}-\\\\left(8.5,0\\\\right),D_{p3}-\\\\left(8.5,0\\\\right),D_{p4}-\\\\left(8.5,0\\\\right)\\\\right)\",\n                \"lines\": false,\n                \"fillOpacity\": \"1\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"138\",\n                \"folderId\": \"7\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(-3,t\\\\right)\",\n                \"parametricDomain\": {\n                    \"min\": \"-1.5\",\n                    \"max\": \"1.4\"\n                },\n                \"domain\": {\n                    \"min\": \"-1.5\",\n                    \"max\": \"1.4\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"86\",\n                \"folderId\": \"7\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\operatorname{polygon}\\\\left(E_{p1}-\\\\left(3,0\\\\right),E_{p2}-\\\\left(3,0\\\\right),E_{p3}-\\\\left(3,0\\\\right),E_{p4}-\\\\left(3,0\\\\right)\\\\right)\",\n                \"lines\": false,\n                \"fillOpacity\": \"1\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"88\",\n                \"folderId\": \"7\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(-2,-.05\\\\right)\",\n                \"showLabel\": true,\n                \"label\": \"`1`\",\n                \"hidden\": true,\n                \"labelOrientation\": \"below\",\n                \"labelSize\": \".75\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"89\",\n                \"folderId\": \"7\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(-3,1\\\\right)\",\n                \"showLabel\": true,\n                \"label\": \"`1`\",\n                \"hidden\": true,\n                \"labelOrientation\": \"left\",\n                \"labelSize\": \".75\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"90\",\n                \"folderId\": \"7\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(-3.05,-.05\\\\right)\",\n                \"showLabel\": true,\n                \"label\": \"`0`\",\n                \"hidden\": true,\n                \"labelOrientation\": \"below_left\",\n                \"labelSize\": \".75\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"101\",\n                \"folderId\": \"7\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(-1.5,0\\\\right)\",\n                \"showLabel\": true,\n                \"label\": \"`x`\",\n                \"hidden\": true,\n                \"labelOrientation\": \"right\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"102\",\n                \"folderId\": \"7\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(-3,1.5\\\\right)\",\n                \"showLabel\": true,\n                \"label\": \"`y`\",\n                \"hidden\": true,\n                \"labelOrientation\": \"above\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"2\",\n                \"folderId\": \"7\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"\\\\left(-3+\\\\cos t,\\\\sin t\\\\right)\",\n                \"parametricDomain\": {\n                    \"min\": \"\",\n                    \"max\": \"2\\\\pi\"\n                },\n                \"colorLatex\": \"w_{4}\",\n                \"domain\": {\n                    \"min\": \"0\",\n                    \"max\": \"2\\\\pi\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"147\",\n                \"folderId\": \"7\",\n                \"color\": \"#c74440\",\n                \"latex\": \"\\\\left(-3+\\\\cos t_{0},t\\\\left\\\\{\\\\sin t_{0}\\\\ge0\\\\right\\\\}\\\\right)\",\n                \"parametricDomain\": {\n                    \"min\": \"\",\n                    \"max\": \"\\\\sin t_{0}\"\n                },\n                \"colorLatex\": \"w_{3}\",\n                \"domain\": {\n                    \"min\": \"0\",\n                    \"max\": \"\\\\sin t_{0}\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"148\",\n                \"folderId\": \"7\",\n                \"color\": \"#c74440\",\n                \"latex\": \"\\\\left(-3+\\\\cos t_{0},t\\\\left\\\\{\\\\sin t_{0}<0\\\\right\\\\}\\\\right)\",\n                \"parametricDomain\": {\n                    \"min\": \"\\\\sin t_{0}\",\n                    \"max\": \"0\"\n                },\n                \"colorLatex\": \"w_{3}\",\n                \"domain\": {\n                    \"min\": \"\\\\sin t_{0}\",\n                    \"max\": \"0\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"15\",\n                \"folderId\": \"7\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"\\\\left(-3+\\\\cos t,\\\\sin t\\\\right)\",\n                \"parametricDomain\": {\n                    \"min\": \"\",\n                    \"max\": \"t_{0}\"\n                },\n                \"colorLatex\": \"w_{5}\",\n                \"domain\": {\n                    \"min\": \"0\",\n                    \"max\": \"t_{0}\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"139\",\n                \"folderId\": \"7\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(t,\\\\sin\\\\left(t_{0}\\\\right)\\\\right)\",\n                \"lineStyle\": \"DASHED\",\n                \"parametricDomain\": {\n                    \"min\": \"-3+\\\\cos t_{0}\",\n                    \"max\": \"t_{0}\"\n                },\n                \"lineWidth\": \"1\",\n                \"domain\": {\n                    \"min\": \"-3+\\\\cos t_{0}\",\n                    \"max\": \"t_{0}\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"17\",\n                \"folderId\": \"7\",\n                \"color\": \"#388c46\",\n                \"latex\": \"\\\\left(-3+t\\\\cos t_{0},t\\\\sin t_{0}\\\\right)\",\n                \"parametricDomain\": {\n                    \"min\": \"\",\n                    \"max\": \"1.25\"\n                },\n                \"colorLatex\": \"w_{1}\",\n                \"lineWidth\": \"3\",\n                \"domain\": {\n                    \"min\": \"0\",\n                    \"max\": \"1.25\"\n                }\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"62\",\n                \"folderId\": \"7\",\n                \"text\": \"Anak panah sisi akhir\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"63\",\n                \"folderId\": \"7\",\n                \"color\": \"#6042a6\",\n                \"latex\": \"B_{p1}=\\\\left(\\\\cos\\\\left(t_{0}\\\\right)+r_{x}\\\\left(A_{p1}\\\\left[1\\\\right],A_{p1}\\\\left[2\\\\right],t_{0}+\\\\frac{\\\\pi}{2}\\\\right),\\\\sin\\\\left(t_{0}\\\\right)+r_{y}\\\\left(A_{p1}\\\\left[1\\\\right],A_{p1}\\\\left[2\\\\right],t_{0}+\\\\frac{\\\\pi}{2}\\\\right)\\\\right)+\\\\left(-3,0\\\\right)\",\n                \"hidden\": true\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"70\",\n                \"folderId\": \"7\",\n                \"color\": \"#6042a6\",\n                \"latex\": \"C_{p1}=\\\\left(\\\\cos\\\\left(t_{0}\\\\right)+r_{x}\\\\left(A_{p1}\\\\left[1\\\\right],A_{p1}\\\\left[2\\\\right],t_{0}\\\\right),\\\\sin\\\\left(t_{0}\\\\right)+r_{y}\\\\left(A_{p1}\\\\left[1\\\\right],A_{p1}\\\\left[2\\\\right],t_{0}\\\\right)\\\\right)\",\n                \"hidden\": true\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"76\",\n                \"folderId\": \"7\",\n                \"color\": \"#6042a6\",\n                \"latex\": \"D_{p1}=\\\\left(7+r_{x}\\\\left(A_{p1}\\\\left[1\\\\right],A_{p1}\\\\left[2\\\\right],0\\\\right),0+r_{y}\\\\left(A_{p1}\\\\left[1\\\\right],A_{p1}\\\\left[2\\\\right],0\\\\right)\\\\right)\",\n                \"hidden\": true\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"81\",\n                \"folderId\": \"7\",\n                \"color\": \"#6042a6\",\n                \"latex\": \"E_{p1}=\\\\left(0+r_{x}\\\\left(A_{p1}\\\\left[1\\\\right],A_{p1}\\\\left[2\\\\right],\\\\frac{\\\\pi}{2}\\\\right),1.5+r_{y}\\\\left(A_{p1}\\\\left[1\\\\right],A_{p1}\\\\left[2\\\\right],\\\\frac{\\\\pi}{2}\\\\right)\\\\right)\",\n                \"hidden\": true\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"65\",\n                \"folderId\": \"7\",\n                \"color\": \"#c74440\",\n                \"latex\": \"B_{p2}=\\\\left(\\\\cos\\\\left(t_{0}\\\\right)+r_{x}\\\\left(A_{p2}\\\\left[1\\\\right],A_{p2}\\\\left[2\\\\right],t_{0}+\\\\frac{\\\\pi}{2}\\\\right),\\\\sin\\\\left(t_{0}\\\\right)+r_{y}\\\\left(A_{p2}\\\\left[1\\\\right],A_{p2}\\\\left[2\\\\right],t_{0}+\\\\frac{\\\\pi}{2}\\\\right)\\\\right)+\\\\left(-3,0\\\\right)\",\n                \"hidden\": true\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"71\",\n                \"folderId\": \"7\",\n                \"color\": \"#c74440\",\n                \"latex\": \"C_{p2}=\\\\left(\\\\cos\\\\left(t_{0}\\\\right)+r_{x}\\\\left(A_{p2}\\\\left[1\\\\right],A_{p2}\\\\left[2\\\\right],t_{0}\\\\right),\\\\sin\\\\left(t_{0}\\\\right)+r_{y}\\\\left(A_{p2}\\\\left[1\\\\right],A_{p2}\\\\left[2\\\\right],t_{0}\\\\right)\\\\right)\",\n                \"hidden\": true\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"77\",\n                \"folderId\": \"7\",\n                \"color\": \"#c74440\",\n                \"latex\": \"D_{p2}=\\\\left(7+r_{x}\\\\left(A_{p2}\\\\left[1\\\\right],A_{p2}\\\\left[2\\\\right],0\\\\right),0+r_{y}\\\\left(A_{p2}\\\\left[1\\\\right],A_{p2}\\\\left[2\\\\right],0\\\\right)\\\\right)\",\n                \"hidden\": true\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"84\",\n                \"folderId\": \"7\",\n                \"color\": \"#c74440\",\n                \"latex\": \"E_{p2}=\\\\left(0+r_{x}\\\\left(A_{p2}\\\\left[1\\\\right],A_{p2}\\\\left[2\\\\right],\\\\frac{\\\\pi}{2}\\\\right),1.5+r_{y}\\\\left(A_{p2}\\\\left[1\\\\right],A_{p2}\\\\left[2\\\\right],\\\\frac{\\\\pi}{2}\\\\right)\\\\right)\",\n                \"hidden\": true\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"66\",\n                \"folderId\": \"7\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"B_{p3}=\\\\left(\\\\cos\\\\left(t_{0}\\\\right)+r_{x}\\\\left(A_{p3}\\\\left[1\\\\right],A_{p3}\\\\left[2\\\\right],t_{0}+\\\\frac{\\\\pi}{2}\\\\right),\\\\sin\\\\left(t_{0}\\\\right)+r_{y}\\\\left(A_{p3}\\\\left[1\\\\right],A_{p3}\\\\left[2\\\\right],t_{0}+\\\\frac{\\\\pi}{2}\\\\right)\\\\right)+\\\\left(-3,0\\\\right)\",\n                \"hidden\": true\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"72\",\n                \"folderId\": \"7\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"C_{p3}=\\\\left(\\\\cos\\\\left(t_{0}\\\\right)+r_{x}\\\\left(A_{p3}\\\\left[1\\\\right],A_{p3}\\\\left[2\\\\right],t_{0}\\\\right),\\\\sin\\\\left(t_{0}\\\\right)+r_{y}\\\\left(A_{p3}\\\\left[1\\\\right],A_{p3}\\\\left[2\\\\right],t_{0}\\\\right)\\\\right)\",\n                \"hidden\": true\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"78\",\n                \"folderId\": \"7\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"D_{p3}=\\\\left(7+r_{x}\\\\left(A_{p3}\\\\left[1\\\\right],A_{p3}\\\\left[2\\\\right],0\\\\right),0+r_{y}\\\\left(A_{p3}\\\\left[1\\\\right],A_{p3}\\\\left[2\\\\right],0\\\\right)\\\\right)\",\n                \"hidden\": true\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"82\",\n                \"folderId\": \"7\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"E_{p3}=\\\\left(0+r_{x}\\\\left(A_{p3}\\\\left[1\\\\right],A_{p3}\\\\left[2\\\\right],\\\\frac{\\\\pi}{2}\\\\right),1.5+r_{y}\\\\left(A_{p3}\\\\left[1\\\\right],A_{p3}\\\\left[2\\\\right],\\\\frac{\\\\pi}{2}\\\\right)\\\\right)\",\n                \"hidden\": true\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"67\",\n                \"folderId\": \"7\",\n                \"color\": \"#388c46\",\n                \"latex\": \"B_{p4}=\\\\left(\\\\cos\\\\left(t_{0}\\\\right)+r_{x}\\\\left(A_{p4}\\\\left[1\\\\right],A_{p4}\\\\left[2\\\\right],t_{0}+\\\\frac{\\\\pi}{2}\\\\right),\\\\sin\\\\left(t_{0}\\\\right)+r_{y}\\\\left(A_{p4}\\\\left[1\\\\right],A_{p4}\\\\left[2\\\\right],t_{0}+\\\\frac{\\\\pi}{2}\\\\right)\\\\right)+\\\\left(-3,0\\\\right)\",\n                \"hidden\": true\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"73\",\n                \"folderId\": \"7\",\n                \"color\": \"#388c46\",\n                \"latex\": \"C_{p4}=\\\\left(\\\\cos\\\\left(t_{0}\\\\right)+r_{x}\\\\left(A_{p4}\\\\left[1\\\\right],A_{p4}\\\\left[2\\\\right],t_{0}\\\\right),\\\\sin\\\\left(t_{0}\\\\right)+r_{y}\\\\left(A_{p4}\\\\left[1\\\\right],A_{p4}\\\\left[2\\\\right],t_{0}\\\\right)\\\\right)\",\n                \"hidden\": true\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"79\",\n                \"folderId\": \"7\",\n                \"color\": \"#388c46\",\n                \"latex\": \"D_{p4}=\\\\left(7+r_{x}\\\\left(A_{p4}\\\\left[1\\\\right],A_{p4}\\\\left[2\\\\right],0\\\\right),0+r_{y}\\\\left(A_{p4}\\\\left[1\\\\right],A_{p4}\\\\left[2\\\\right],0\\\\right)\\\\right)\",\n                \"hidden\": true\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"83\",\n                \"folderId\": \"7\",\n                \"color\": \"#388c46\",\n                \"latex\": \"E_{p4}=\\\\left(0+r_{x}\\\\left(A_{p4}\\\\left[1\\\\right],A_{p4}\\\\left[2\\\\right],\\\\frac{\\\\pi}{2}\\\\right),1.5+r_{y}\\\\left(A_{p4}\\\\left[1\\\\right],A_{p4}\\\\left[2\\\\right],\\\\frac{\\\\pi}{2}\\\\right)\\\\right)\",\n                \"hidden\": true\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"68\",\n                \"folderId\": \"7\",\n                \"color\": \"#6042a6\",\n                \"latex\": \"\\\\operatorname{polygon}\\\\left(B_{p1},B_{p2},B_{p3},B_{p4}\\\\right)\\\\left\\\\{t_{0}>0.1\\\\right\\\\}\",\n                \"lines\": false,\n                \"colorLatex\": \"w_{5}\",\n                \"fillOpacity\": \"1\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"74\",\n                \"folderId\": \"7\",\n                \"color\": \"#6042a6\",\n                \"latex\": \"\\\\operatorname{polygon}\\\\left(\\\\left(1.35C_{p1}+\\\\left(-3,0\\\\right)\\\\right),\\\\left(1.35C_{p2}+\\\\left(-3,0\\\\right)\\\\right),\\\\left(1.35C_{p3}+\\\\left(-3,0\\\\right)\\\\right),\\\\left(1.35C_{p4}+\\\\left(-3,0\\\\right)\\\\right)\\\\right)\",\n                \"lines\": false,\n                \"colorLatex\": \"w_{1}\",\n                \"fillOpacity\": \"1\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"16\",\n                \"folderId\": \"7\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"\\\\left(-3,0\\\\right)\",\n                \"colorLatex\": \"w_{1}\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"14\",\n                \"folderId\": \"7\",\n                \"color\": \"#c74440\",\n                \"latex\": \"\\\\left(-3+\\\\cos t_{0},\\\\sin t_{0}\\\\right)\",\n                \"colorLatex\": \"w_{5}\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"110\",\n                \"folderId\": \"7\",\n                \"color\": \"#6042a6\",\n                \"latex\": \"a=\\\\frac{\\\\frac{7}{8}-\\\\frac{1}{2}}{2\\\\pi}t_{0}+\\\\frac{1}{2}\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"104\",\n                \"folderId\": \"7\",\n                \"color\": \"#c74440\",\n                \"latex\": \"\\\\left(-3+1.2\\\\cos\\\\left(a\\\\cdot t_{0}\\\\right),1.2\\\\sin\\\\left(a\\\\cdot t_{0}\\\\right)\\\\right)\\\\left\\\\{t_{0}\\\\ge\\\\frac{\\\\pi}{4}\\\\right\\\\}\",\n                \"label\": \"`t=${x_{text}}`\",\n                \"hidden\": true,\n                \"labelSize\": \".75\",\n                \"colorLatex\": \"w_{2}\"\n            },\n            {\n                \"type\": \"folder\",\n                \"id\": \"34\",\n                \"title\": \"Grafik fungsi sinus\",\n                \"collapsed\": true,\n                \"secret\": true\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"36\",\n                \"folderId\": \"34\",\n                \"text\": \"Bidang koordinat\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"133\",\n                \"folderId\": \"34\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(\\\\left[\\\\frac{\\\\pi}{2},\\\\pi,\\\\frac{3\\\\pi}{2},2\\\\pi\\\\right],t\\\\right)\",\n                \"parametricDomain\": {\n                    \"min\": \"-1.5\",\n                    \"max\": \"1.5\"\n                },\n                \"lineOpacity\": \".2\",\n                \"lineWidth\": \"1\",\n                \"domain\": {\n                    \"min\": \"-1.5\",\n                    \"max\": \"1.5\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"134\",\n                \"folderId\": \"34\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(t,\\\\left[-1,-.5,.5,1\\\\right]\\\\right)\",\n                \"parametricDomain\": {\n                    \"min\": \"-.5\",\n                    \"max\": \"7\"\n                },\n                \"lineOpacity\": \".2\",\n                \"lineWidth\": \"1\",\n                \"domain\": {\n                    \"min\": \"-.5\",\n                    \"max\": \"7\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"135\",\n                \"folderId\": \"34\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(t,0\\\\right)\",\n                \"parametricDomain\": {\n                    \"min\": \"-.5\",\n                    \"max\": \"6.9\"\n                },\n                \"domain\": {\n                    \"min\": \"-.5\",\n                    \"max\": \"6.9\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"136\",\n                \"folderId\": \"34\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(0,t\\\\right)\",\n                \"parametricDomain\": {\n                    \"min\": \"-1.5\",\n                    \"max\": \"1.4\"\n                },\n                \"domain\": {\n                    \"min\": \"-1.5\",\n                    \"max\": \"1.4\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"80\",\n                \"folderId\": \"34\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\operatorname{polygon}\\\\left(D_{p1},D_{p2},D_{p3},D_{p4}\\\\right)\",\n                \"lines\": false,\n                \"fillOpacity\": \"1\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"85\",\n                \"folderId\": \"34\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\operatorname{polygon}\\\\left(E_{p1},E_{p2},E_{p3},E_{p4}\\\\right)\",\n                \"lines\": false,\n                \"fillOpacity\": \"1\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"91\",\n                \"folderId\": \"34\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(\\\\frac{\\\\pi}{2},0\\\\right)\",\n                \"showLabel\": true,\n                \"label\": \"`\\\\frac{\\\\pi}{2}`\",\n                \"hidden\": true,\n                \"labelOrientation\": \"below\",\n                \"labelSize\": \".75\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"93\",\n                \"folderId\": \"34\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(\\\\pi,-.05\\\\right)\",\n                \"showLabel\": true,\n                \"label\": \"`\\\\pi`\",\n                \"hidden\": true,\n                \"labelOrientation\": \"below\",\n                \"labelSize\": \".75\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"92\",\n                \"folderId\": \"34\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(\\\\frac{3\\\\pi}{2},0\\\\right)\",\n                \"showLabel\": true,\n                \"label\": \"`\\\\frac{3\\\\pi}{2}`\",\n                \"hidden\": true,\n                \"labelOrientation\": \"below\",\n                \"labelSize\": \".75\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"94\",\n                \"folderId\": \"34\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(2\\\\pi,-.05\\\\right)\",\n                \"showLabel\": true,\n                \"label\": \"`\\\\pi`\",\n                \"hidden\": true,\n                \"labelOrientation\": \"below\",\n                \"labelSize\": \".75\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"95\",\n                \"folderId\": \"34\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(0,1\\\\right)\",\n                \"showLabel\": true,\n                \"label\": \"`1`\",\n                \"hidden\": true,\n                \"labelOrientation\": \"left\",\n                \"labelSize\": \".75\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"96\",\n                \"folderId\": \"34\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(0,-1\\\\right)\",\n                \"showLabel\": true,\n                \"label\": \"`-1`\",\n                \"hidden\": true,\n                \"labelOrientation\": \"left\",\n                \"labelSize\": \".75\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"99\",\n                \"folderId\": \"34\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(6.85,0\\\\right)\",\n                \"showLabel\": true,\n                \"label\": \"`t`\",\n                \"hidden\": true,\n                \"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                \"id\": \"140\",\n                \"folderId\": \"34\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(t_{0},t\\\\left\\\\{\\\\sin t_{0}\\\\ge0\\\\right\\\\}\\\\right)\",\n                \"lineStyle\": \"DASHED\",\n                \"parametricDomain\": {\n                    \"min\": \"\",\n                    \"max\": \"\\\\sin\\\\left(t_{0}\\\\right)\"\n                },\n                \"lineWidth\": \"1\",\n                \"domain\": {\n                    \"min\": \"0\",\n                    \"max\": \"\\\\sin\\\\left(t_{0}\\\\right)\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"141\",\n                \"folderId\": \"34\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(t_{0},t\\\\left\\\\{\\\\sin t_{0}<0\\\\right\\\\}\\\\right)\",\n                \"lineStyle\": \"DASHED\",\n                \"parametricDomain\": {\n                    \"min\": \"\\\\sin\\\\left(t_{0}\\\\right)\",\n                    \"max\": \"0\"\n                },\n                \"lineWidth\": \"1\",\n                \"domain\": {\n                    \"min\": \"\\\\sin\\\\left(t_{0}\\\\right)\",\n                    \"max\": \"0\"\n                }\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"38\",\n                \"folderId\": \"34\",\n                \"text\": \"Sudut dan sinusnya\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"144\",\n                \"folderId\": \"34\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(t,0\\\\right)\",\n                \"parametricDomain\": {\n                    \"min\": \"0\",\n                    \"max\": \"t_{0}\"\n                },\n                \"colorLatex\": \"w_{5}\",\n                \"lineOpacity\": \"1\",\n                \"lineWidth\": \"4\",\n                \"domain\": {\n                    \"min\": \"0\",\n                    \"max\": \"t_{0}\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"145\",\n                \"folderId\": \"34\",\n                \"color\": \"#c74440\",\n                \"latex\": \"\\\\left(0,t\\\\left\\\\{\\\\sin\\\\left(t_{0}\\\\right)\\\\ge0\\\\right\\\\}\\\\right)\",\n                \"parametricDomain\": {\n                    \"min\": \"\",\n                    \"max\": \"\\\\sin\\\\left(t_{0}\\\\right)\"\n                },\n                \"colorLatex\": \"w_{3}\",\n                \"lineWidth\": \"4\",\n                \"domain\": {\n                    \"min\": \"0\",\n                    \"max\": \"\\\\sin\\\\left(t_{0}\\\\right)\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"146\",\n                \"folderId\": \"34\",\n                \"color\": \"#c74440\",\n                \"latex\": \"\\\\left(0,t\\\\left\\\\{\\\\sin\\\\left(t_{0}\\\\right)\\\\ge0\\\\right\\\\}\\\\right)\",\n                \"parametricDomain\": {\n                    \"min\": \"\",\n                    \"max\": \"\\\\sin\\\\left(t_{0}\\\\right)\"\n                },\n                \"colorLatex\": \"w_{3}\",\n                \"lineWidth\": \"4\",\n                \"domain\": {\n                    \"min\": \"0\",\n                    \"max\": \"\\\\sin\\\\left(t_{0}\\\\right)\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"174\",\n                \"folderId\": \"34\",\n                \"color\": \"#c74440\",\n                \"latex\": \"\\\\left(0,t\\\\left\\\\{\\\\sin\\\\left(t_{0}\\\\right)<0\\\\right\\\\}\\\\right)\",\n                \"parametricDomain\": {\n                    \"min\": \"\\\\sin t_{0}\",\n                    \"max\": \"0\"\n                },\n                \"colorLatex\": \"w_{3}\",\n                \"lineWidth\": \"4\",\n                \"domain\": {\n                    \"min\": \"\\\\sin t_{0}\",\n                    \"max\": \"0\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"1\",\n                \"folderId\": \"34\",\n                \"color\": \"#c74440\",\n                \"latex\": \"f\\\\left(x\\\\right)=\\\\sin x\\\\left\\\\{0\\\\le x\\\\le t_{0}\\\\right\\\\}\",\n                \"hidden\": true,\n                \"colorLatex\": \"w_{1}\",\n                \"lineWidth\": \"5\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"51\",\n                \"folderId\": \"34\",\n                \"color\": \"#000000\",\n                \"latex\": \"x_{text}=\\\\operatorname{round}\\\\left(t_{0},2\\\\right)\"\n            },\n            {\n                \"type\": \"expression\",\n                \"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                \"type\": \"expression\",\n                \"id\": \"173\",\n                \"folderId\": \"168\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"A_{tampil}=A_{daftar}\\\\left[2...\\\\operatorname{length}\\\\left(A_{daftar}\\\\right)\\\\right]\\\\left\\\\{\\\\operatorname{length}\\\\left(A_{daftar}\\\\right)>1\\\\right\\\\}\",\n                \"colorLatex\": \"w_{1}\",\n                \"pointOpacity\": \".8\"\n            },\n            {\n                \"type\": \"folder\",\n                \"id\": \"151\",\n                \"title\": \"Tombol\",\n                \"collapsed\": true,\n                \"secret\": true\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"157\",\n                \"folderId\": \"151\",\n                \"text\": \"Mulai\/berhenti rekam\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"161\",\n                \"folderId\": \"151\",\n                \"color\": \"#388c46\",\n                \"latex\": \"r_{ekam}=0\",\n                \"slider\": {\n                    \"hardMin\": true,\n                    \"hardMax\": true,\n                    \"min\": \"0\",\n                    \"max\": \"1\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"154\",\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                \"lines\": false,\n                \"colorLatex\": \"p_{utih}\",\n                \"fillOpacity\": \"1\",\n                \"lineWidth\": \"1.5\",\n                \"clickableInfo\": {\n                    \"latex\": \"r_{ekam}\\\\to1-r_{ekam}\"\n                }\n            },\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                \"label\": \"Rekam jejak\",\n                \"hidden\": true,\n                \"labelSize\": \".9\",\n                \"pointOpacity\": \".8\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"160\",\n                \"folderId\": \"151\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(\\\\frac{6.75+4.25}{2},\\\\frac{2.5+2}{2}\\\\left\\\\{r_{ekam}=1\\\\right\\\\}\\\\right)\",\n                \"showLabel\": true,\n                \"label\": \"Berhenti rekam\",\n                \"hidden\": true,\n                \"labelSize\": \".9\",\n                \"pointOpacity\": \".8\"\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"162\",\n                \"folderId\": \"151\",\n                \"text\": \"Hapus\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"163\",\n                \"folderId\": \"151\",\n                \"color\": \"#6042a6\",\n                \"latex\": \"\\\\operatorname{polygon}\\\\left(\\\\left(4,2.5\\\\right),\\\\left(2.75,2.5\\\\right),\\\\left(2.75,2\\\\right),\\\\left(4,2\\\\right)\\\\right)\",\n                \"lines\": false,\n                \"colorLatex\": \"p_{utih}\",\n                \"fillOpacity\": \"1\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"165\",\n                \"folderId\": \"151\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\operatorname{polygon}\\\\left(\\\\left(4,2.5\\\\right),\\\\left(2.75,2.5\\\\right),\\\\left(2.75,2\\\\right),\\\\left(4,2\\\\right)\\\\right)\",\n                \"lines\": true,\n                \"fillOpacity\": \"0\",\n                \"lineWidth\": \"1.25\",\n                \"clickableInfo\": {\n                    \"enabled\": true,\n                    \"latex\": \"h_{apus}\"\n                }\n            },\n            {\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\": \"w_{4}=\\\\operatorname{rgb}\\\\left(193,195,199\\\\right)\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"116\",\n                \"folderId\": \"9\",\n                \"color\": \"#c74440\",\n                \"latex\": \"w_{5}=\\\\operatorname{rgb}\\\\left(0,167,158\\\\right)\"\n            },\n            {\n                \"type\": \"folder\",\n                \"id\": \"28\",\n                \"title\": \"Copyright\",\n                \"collapsed\": true,\n                \"secret\": true\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"29\",\n                \"folderId\": \"28\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(\\\\frac{-4.5+7}{2},-2.75\\\\right)\",\n                \"showLabel\": true,\n                \"label\": \"\u00a9 2024 Yosep Dwi Kristanto\",\n                \"hidden\": true,\n                \"labelOrientation\": \"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 ungu pada bidang koordinat menggambarkan apa? Ketika slidernya digeser ke kiri atau kanan, bagaimana pergerakan titik ungu 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 yang terbentuk menggambarkan apa? Apa yang diperoleh jika semua kemungkinan jejak titik ungu 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":{"advanced_seo_description":"","spay_email":""},"jetpack_shortlink":"https:\/\/wp.me\/P93lma-ge","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/pages\/1006"}],"collection":[{"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/comments?post=1006"}],"version-history":[{"count":16,"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/pages\/1006\/revisions"}],"predecessor-version":[{"id":1369,"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/pages\/1006\/revisions\/1369"}],"up":[{"embeddable":true,"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/pages\/882"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/media\/1129"}],"wp:attachment":[{"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/media?parent=1006"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}