// Numbas version: exam_results_page_options
{"name": "Algebra: trig graphs, cos, basic", "extensions": ["jsxgraph"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"rulesets": {}, "parts": [{"prompt": "<p>Below&nbsp;is the graph of&nbsp;the function $f(t) = \\cos(t)$, in radians.</p>\n<p>{plot(1,1,0,x0, f0, x1, f1)}</p>\n<p></p>\n<p>The coordinates of $A$ are $(\\var{x0},\\var{f0})$.</p>\n<p>The $y$-coordinate of $B$ is the same as the $y$-coordinate of $A$. Determine the coordinates of $B$. Give your answer to 2 d.p.</p>\n<p></p>\n<p>Coordinates of B: [[0]]</p>", "sortAnswers": false, "customMarkingAlgorithm": "", "marks": 0, "type": "gapfill", "extendBaseMarkingAlgorithm": true, "showCorrectAnswer": true, "unitTests": [], "gaps": [{"correctAnswerFractions": false, "numColumns": "2", "allowResize": false, "customMarkingAlgorithm": "", "markPerCell": false, "marks": "2", "allowFractions": false, "correctAnswer": "matrix([x1,f1])", "type": "matrix", "extendBaseMarkingAlgorithm": true, "showCorrectAnswer": true, "unitTests": [], "numRows": 1, "variableReplacements": [], "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "scripts": {}, "tolerance": 0, "useCustomName": false, "customName": "", "adaptiveMarkingPenalty": 0}], "variableReplacements": [], "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "scripts": {}, "useCustomName": false, "customName": "", "adaptiveMarkingPenalty": 0}], "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": ""}, "tags": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "name": "Algebra: trig graphs, cos, basic", "advice": "<p>See Lecture 7.3 and 7.5 for background and examples.</p>", "preamble": {"css": "", "js": ""}, "functions": {"plot": {"type": "html", "language": "javascript", "parameters": [["a", "number"], ["b", "number"], ["c", "number"], ["x0", "number"], ["y0", "number"], ["x1", "number"], ["y1", "number"]], "definition": "// Max and min x and y values for the axis.\nvar x_min = -3.2;\nvar x_max = 6.3;\nvar y_min = -1.2;\nvar y_max = 1.2;\n\n\n// First, make the JSXGraph board.\nvar div = Numbas.extensions.jsxgraph.makeBoard(\n  '500px',\n  '600px',\n {\n   boundingBox: [x_min,y_max,x_max,y_min],\n   axis: false,\n   showNavigation: false,\n   grid: false,\n   axis:false,\n }\n);\n\n\n\n// div.board is the object created by JSXGraph, which you use to \n// manipulate elements\nvar board = div.board; \n\n// create the x-axis and y-axis\nvar xaxis = board.create('axis',[[0,0],[1,0]], { strokeColor: 'black', fixed: true});\n//var xticks = board.create('ticks',[xaxis,1],{\n//  drawLabels: true,\n//  label: {offset: [-8, -10]},\n//  minorTicks: 0\n//});\n\n// create the y-axis\nvar yaxis = board.create('axis',[[0,0],[0,1]], { strokeColor: 'black', fixed: true });\n//var yticks = board.create('ticks',[yaxis,1],{\n//  drawLabels: true,\n//  label: {offset: [-8, 0]},\n//  minorTicks: 0\n//});\n\n\n\n// Plot the function.\n    board.create('functiongraph',\n             [function(x){ return a*Math.cos(b*x)+c},x_min,x_max]);\n\n// Plot coordinates.\n    board.create('ellipse',[[x0+0.04,y0],[x0-0.04,y0],[x0,y0+0.02]],{color:'red'});\n    board.create('text',[x0+0.1,y0,'A']);\n    board.create('ellipse',[[x1+0.04,y1],[x1-0.04,y1],[x1,y1+0.02]],{color:'red'});\n    board.create('text',[x1+0.1,y1,'B']);\n//    board.create('ellipse',[[x2,y2+0.045],[x2,y2-0.045],[x2,y2+0.05]],{color:'red'});\n//    board.create('text',[x2,y2+0.2,'C']);\n\nreturn div;"}}, "extensions": ["jsxgraph"], "variables": {"f0": {"name": "f0", "templateType": "anything", "description": "", "group": "part a", "definition": "precround(cos(x0),2)"}, "f1": {"name": "f1", "templateType": "anything", "description": "", "group": "part a", "definition": "f0"}, "x1": {"name": "x1", "templateType": "anything", "description": "", "group": "part a", "definition": "precround(2*pi-x0,2)"}, "x0": {"name": "x0", "templateType": "anything", "description": "", "group": "part a", "definition": "0.1*random(1..9)+0.01*random(1..9)"}}, "ungrouped_variables": [], "statement": "<p>This is a calculator question.</p>\n<p>-----------------------------------</p>", "variable_groups": [{"variables": ["x0", "f0", "x1", "f1"], "name": "part a"}], "contributors": [{"name": "Lovkush Agarwal", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1358/"}]}]}], "contributors": [{"name": "Lovkush Agarwal", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1358/"}]}