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render = function render(){var _vm=this,_c=_vm._self._c;return _c('div',[_c('br'),_c('h5',[_vm._v(\"Background Description\")]),_vm._m(0),_vm._m(1),_vm._m(2),_c('v-responsive',[_c('v-layout',{attrs:{\"justify-center\":\"\"}},[_c('div',{staticClass:\"edliy-box-about\",attrs:{\"id\":\"jxgbox1\"}})])],1),_c('br'),_c('h5',[_vm._v(\" MagicGraph Navigation Buttons \")]),_vm._m(3),_c('h5',[_vm._v(\" Markings & Indications \")]),_vm._m(4)],1)\n}\nvar staticRenderFns = [function (){var _vm=this,_c=_vm._self._c;return _c('p',{staticClass:\"big mt-2\"},[_vm._v(\"\\n    The red circle shown in the MagicGraph is a unit circle — meaning its radius \\\\(R = 1\\\\).\"),_c('br'),_vm._v(\"\\n    \\\\(P (X, Y) \\\\) is a point on this circle. The line connecting \\\\(P\\\\) to the center of the circle forms an angle \\\\(\\\\theta\\\\) with the X-axis. Then, at any given value of \\\\(\\\\theta\\\\), the X and Y coordinates of point \\\\(P\\\\) can be expressed as —\\n    $$X = R \\\\cos \\\\theta = \\\\cos \\\\theta$$\\n    and\\n    $$Y = R \\\\sin \\\\theta  = \\\\sin \\\\theta $$\\n    Further,\\n    $$\\\\tan \\\\theta = \\\\sin \\\\theta/\\\\cos\\\\theta = Y/X$$\\n    \"),_c('br'),_vm._v(\" Thus, from the knowledge of the two coordinates of point \\\\(P\\\\), one can determine all the trigonometric ratios.\\n  \")])\n},function (){var _vm=this,_c=_vm._self._c;return _c('div',{staticStyle:{\"text-align\":\"left\"}},[_c('h5',[_vm._v(\" MagicGraph | Equation of a Vertical Parabola \")])])\n},function (){var _vm=this,_c=_vm._self._c;return _c('p',{staticClass:\"big mt-2\"},[_vm._v(\"\\n    Use the MagicGraph below to participate in the exercise and record your answers. Tap on \"),_c('i',{staticClass:\"redoer ma-1\"}),_vm._v(\" button to move over to the next question.\\n    Tap on \"),_c('i',{staticClass:\"tester ma-1\"}),_vm._v(\" button to check your answer.\\n    Tap on \"),_c('i',{staticClass:\"undoer ma-1\"}),_vm._v(\" button to start over from the begining.\\n    \"),_c('br')])\n},function (){var _vm=this,_c=_vm._self._c;return _c('p',{staticClass:\"big mt-2\"},[_c('i',{staticClass:\"redoer ma-1\"}),_vm._v(\" — is the 'Next' button. Tap on this button to move over to the next question. \"),_c('br'),_c('i',{staticClass:\"tester ma-1\"}),_vm._v(\" — is the 'Check Your Answer' button. Tap on this button to check your answer.\"),_c('br'),_c('i',{staticClass:\"logor ma-1\"}),_vm._v(\"—  is the 'Get a Hint' button. Tap on this button to receive a hint on how to solve this problem. \"),_c('br'),_c('i',{staticClass:\"undoer ma-1\"}),_vm._v(\" — is the 'Start Over' button. Tap on this button to start over the exercise from the begining.\\n  \")])\n},function (){var _vm=this,_c=_vm._self._c;return _c('p',{staticClass:\"big mt-2\"},[_vm._v(\"\\n    The marks and indications are located on the top-left corner of the MagicGraph, and show your attempt status. \"),_c('br'),_c('i',{staticClass:\"righter ma-1\"}),_vm._v(\" — the right checkmark indicates that your attempted response was correct. \"),_c('br'),_c('i',{staticClass:\"wrong ma-1\"}),_vm._v(\" — this crossmark indicates that your attempted response was incorrect. \"),_c('br'),_c('i',{staticClass:\"missed ma-1\"}),_vm._v(\" — this exclaimation mark indicates an unattempted (missed) response. \"),_c('br')])\n}]\n\nexport { render, staticRenderFns }","import{\r\n  makeResponsive,\r\n  placeTitle,\r\n  createSpace,\r\n  placeQuestion,\r\n  placeComment,\r\n  createAxes,\r\n  writeHTMLText,\r\n  drawPoint,\r\n  setSize,\r\n  labelIt,\r\n  placeMarker,\r\n  drawCircle,\r\n  placeImage,\r\n  placeShuffle,\r\n  placeTest,\r\n  drawArrow,\r\n  drawAngle,\r\n  drawSegment,\r\n  placeBWhite,\r\n  placeWhite,\r\n  placeBCircles,\r\n  placeCircles,\r\n  placeChecks,\r\n  placeCross,\r\n  placeExclaim,\r\n  hoverMe,\r\n  placeLogo,\r\n  drawMarker,\r\n  toggle,\r\n  toggleTF,\r\n  placeFingers,\r\n  placeAnswers,\r\n  drawTriangle,\r\n  placeRedo,\r\n  placeStartOver,\r\n  print,\r\n  plotFunction,\r\n  setWidth,\r\n  drawLine,\r\n  placePlay,\r\n  placePause,\r\n  writeMediumText,\r\n  drawPerpP,\r\n  setColor,\r\n  placeTapeVert,\r\n  placeTapeHori\r\n} from '../Utils.js'\r\nconst Boxes = {\r\n  box1: function () {\r\n///////////////////////////////////GLOBAL SETTINGS//////////////////////\r\n\tJXG.Options.board.minimizeReflow = 'none';\r\n  JXG.Options.point.showInfoBox=false;\r\n  JXG.Options.point.highlight=false;\r\n  JXG.Options.image.highlight=false;\r\n  JXG.Options.line.highlight=false;\r\n  JXG.Options.text.highlight=false;\r\n  JXG.Options.text.fixed=true;\r\n  JXG.Options.curve.highlight=false;\r\n  JXG.Options.text.cssDefaultStyle='fontFamily:Oswald;'\r\n//////////////////////////////////LOCAL SETTINGS//////////////////////////////////\r\nvar graph =createSpace(-2.5,2.5,-2.5,2.5);\r\nmakeResponsive(graph);\r\ngraph.options.layer['image']=10;\r\ngraph.options.layer['angle']=8;\r\ngraph.options.layer['line']=10;\r\ngraph.options.layer['point']=12;\r\ngraph.options.layer['glider']=12;\r\n//graph.options.layer['polygon']=10;\r\n//createAxes(graph);\r\nplaceTitle(graph, 'Trigonometric Ratios', '(Drag Point P on the Unit Circle)');\r\n//var n =placeInput(graph, 6.5, -3.5,'0');\r\n/********************BEGINNING OF FILE************/\r\nvar center = drawPoint(graph, 0, 0);\r\nsetSize(graph, center, 0);\r\nvar rad = drawPoint(graph, 1, 0);\r\nsetSize(graph, rad, 0);\r\nvar circ = drawCircle(graph, center, rad);\r\nvar trace =drawMarker(graph, circ, 1, 1);\r\nsetSize(graph, trace, 3);\r\ntrace.setAttribute({color:'blue'});\r\nlabelIt(graph, trace, 'P(X, Y)');\r\nvar hypotenuse=drawSegment(graph, center, trace);\r\nvar horizontal =graph.create('segment', [[-2,0], [2,0]], {fixed: true, strokeWidth:1, strokeColor: 'grey'});\r\nvar vertical = graph.create('segment', [[0, -2], [0, 2]], {fixed: true, strokeWidth:1, strokeColor: 'grey'});\r\nvar oppositeP =drawPerpP(graph, horizontal, trace);\r\nvar adjacentP =drawPerpP(graph, vertical, trace);\r\nvar opposite = drawSegment(graph, trace, oppositeP);\r\nsetColor(graph, opposite, 'red');\r\nvar adjacent = drawSegment(graph, trace, adjacentP);\r\nsetColor(graph, adjacent, 'green');\r\n/*******************************************/\r\nvar theta = graph.create('angle', [rad, center, trace],{name:()=> '&theta; = '+(JXG.Math.Geometry.rad(rad, center, trace)*180/Math.PI).toFixed(1) +'°' ,  visible: true, radius:0.25, strokeWidth:0, strokeColor:'black', fillColor:'red', label: {color: 'black' ,offset: [3,3], fontSize:function(){return 18*graph.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n/*******************************************/\r\nvar pointOpp1 = graph.create('point', [1.25 , function(){return trace.Y()}], {visible: false, fixed: true});\r\nvar pointOpp2 = graph.create('point', [1.25 , 0], {visible: false, fixed: true});\r\nplaceTapeVert(graph, pointOpp1, pointOpp2, 'Y');\r\nvar pointAdj1 = graph.create('point', [0 , 1.25], {visible: false, fixed: true});\r\nvar pointAdj2 = graph.create('point', [function(){return trace.X()} , 1.25], {visible: false, fixed: true});\r\nplaceTapeHori(graph, pointAdj1, pointAdj2, 'X');\r\nvar sin =writeHTMLText(graph, -2, -1.25, function(){return 'sin &theta; = Y/R = '+ (trace.Y()).toFixed(3)});\r\nsin.setAttribute({anchorX:'left'});\r\nvar cos = writeHTMLText(graph, -2, -1.65, function(){return 'cos &theta; = X/R = '+ (trace.X()).toFixed(3)});\r\ncos.setAttribute({anchorX:'left'});\r\nvar tan = writeHTMLText(graph, -2, -2.05, function(){return'tan &theta; = Y/X = '+(trace.Y()/trace.X()).toFixed(3)});\r\ntan.setAttribute({anchorX:'left'});\r\n/******************END OF FILE ***************************/\r\n}\r\n}\r\nexport default Boxes;\r\n","<template>\r\n  <div>\r\n    <br>\r\n    <h5>Background Description</h5>\r\n    <p class=\"big mt-2\">\n      The red circle shown in the MagicGraph is a unit circle &mdash; meaning its radius \\(R = 1\\).<br>\n      \\(P (X, Y) \\) is a point on this circle. The line connecting \\(P\\) to the center of the circle forms an angle \\(\\theta\\) with the X-axis. Then, at any given value of \\(\\theta\\), the X and Y coordinates of point \\(P\\) can be expressed as &mdash;\n      $$X = R \\cos \\theta = \\cos \\theta$$\n      and\n      $$Y = R \\sin \\theta  = \\sin \\theta $$\n      Further,\r\n      $$\\tan \\theta = \\sin \\theta/\\cos\\theta = Y/X$$\r\n      <br> Thus, from the knowledge of the two coordinates of point \\(P\\), one can determine all the trigonometric ratios.\r\n    </p>\r\n    <div style=\"text-align:left\">\r\n      <h5> MagicGraph | Equation of a Vertical Parabola </h5>\r\n    </div>\r\n    <p class=\"big mt-2\">\r\n      Use the MagicGraph below to participate in the exercise and record your answers. Tap on <i class=\"redoer ma-1\" /> button to move over to the next question.\r\n      Tap on <i class=\"tester ma-1\" /> button to check your answer.\r\n      Tap on <i class=\"undoer ma-1\" /> button to start over from the begining.\r\n      <br>\r\n    </p>\r\n    <v-responsive>\r\n      <v-layout justify-center>\r\n        <div id=\"jxgbox1\" class=\"edliy-box-about\" />\r\n      </v-layout>\r\n    </v-responsive>\r\n    <br>\r\n    <h5> MagicGraph Navigation Buttons </h5>\r\n    <p class=\"big mt-2\">\r\n      <i class=\"redoer ma-1\" /> &mdash; is the 'Next' button. Tap on this button to move over to the next question. <br>\r\n      <i class=\"tester ma-1\" /> &mdash; is the 'Check Your Answer' button. Tap on this button to check your answer.<br>\r\n      <i class=\"logor ma-1\" />&mdash;  is the 'Get a Hint' button. Tap on this button to receive a hint on how to solve this problem. <br>\r\n      <i class=\"undoer ma-1\" /> &mdash; is the 'Start Over' button. Tap on this button to start over the exercise from the begining.\r\n    </p>\r\n    <h5> Markings & Indications </h5>\r\n    <p class=\"big mt-2\">\r\n      The marks and indications are located on the top-left corner of the MagicGraph, and show your attempt status. <br>\r\n      <i class=\"righter ma-1\" /> &mdash; the right checkmark indicates that your attempted response was correct. <br>\r\n      <i class=\"wrong ma-1\" /> &mdash; this crossmark indicates that your attempted response was incorrect. <br>\r\n      <i class=\"missed ma-1\" /> &mdash; this exclaimation mark indicates an unattempted (missed) response. <br>\r\n    </p>\r\n  </div>\r\n</template>\r\n<script>\r\nimport Boxes from './Boxes.js'\r\nexport default {\r\n  name: 'TrigonometricRatio',\r\n  created: function () {\r\n    this.$store.commit('navigation/resetState');\r\n    let title = 'Trigonometic Ratios';\r\n    this.$store.commit('navigation/changeTitle', title);\r\n  /* this.$store.commit('navigation/changeMenu', title);\r\n    let newTopics = [\r\n      {title: 'Probability', img:'/assets/number-1.svg', action: () => this.goto('intro')},\r\n      {title: 'Probability of an Event', img:'/assets/number-2.svg', action: () => this.goto('types')},\r\n      {title: 'MagicGraph',img:'/assets/touch.svg', action: () => this.goto('pg')},\r\n    ];\r\n    this.$store.commit('navigation/replaceTopics', newTopics);\r\n*/\r\n    let newshowhome = false;\r\n    this.$store.commit('navigation/toggleshowhome', newshowhome);\r\n    let newMath =true;\r\n    this.$store.commit('navigation/replaceMath', newMath);\r\n    let newLeftArrow =true;\r\n    this.$store.commit('navigation/replaceLeftArrow', newLeftArrow);\r\n    let newModule=true;\r\n    this.$store.commit('navigation/replaceModule', newModule);\r\n  },\r\n  mounted () {\r\n    MathJax.Hub.Queue([\"Typeset\", MathJax.Hub]);\r\n    Boxes.box1();\r\n  },\r\n  metaInfo() {\r\n  return{ title: 'Trigonometry',\r\n          titleTemplate: '%s | Learn interactively',\r\n          meta: [\r\n                  {vmid: 'description', name: 'description', content: 'Learn interactively about trigonometric ratios.'}\r\n                ]\r\n        }\r\n   },\r\n}\r\n</script>\r\n","import mod from \"-!../../../../../node_modules/cache-loader/dist/cjs.js??ref--12-0!../../../../../node_modules/thread-loader/dist/cjs.js!../../../../../node_modules/babel-loader/lib/index.js!../../../../../node_modules/cache-loader/dist/cjs.js??ref--0-0!../../../../../node_modules/vue-loader/lib/index.js??vue-loader-options!./Lesson.vue?vue&type=script&lang=js&\"; export default mod; export * from \"-!../../../../../node_modules/cache-loader/dist/cjs.js??ref--12-0!../../../../../node_modules/thread-loader/dist/cjs.js!../../../../../node_modules/babel-loader/lib/index.js!../../../../../node_modules/cache-loader/dist/cjs.js??ref--0-0!../../../../../node_modules/vue-loader/lib/index.js??vue-loader-options!./Lesson.vue?vue&type=script&lang=js&\"","import { render, staticRenderFns } from \"./Lesson.vue?vue&type=template&id=fb7c9dce&\"\nimport script from \"./Lesson.vue?vue&type=script&lang=js&\"\nexport * from \"./Lesson.vue?vue&type=script&lang=js&\"\n\n\n/* normalize component */\nimport normalizer from \"!../../../../../node_modules/vue-loader/lib/runtime/componentNormalizer.js\"\nvar component = normalizer(\n  script,\n  render,\n  staticRenderFns,\n  false,\n  null,\n  null,\n  null\n  \n)\n\nexport default component.exports"],"sourceRoot":""}