// Numbas version: exam_results_page_options
{"name": "steve's copy of FY001 EXAM 1 Trigonometric Equations 2 - Simple (Radians)", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": [], "name": "steve's copy of FY001 EXAM 1 Trigonometric Equations 2 - Simple (Radians)", "tags": [], "preamble": {"css": "", "js": ""}, "advice": "<p>Please refer to the advice section of&nbsp;<em>'Trigonometric Equations 1 - Simple (Degrees)'</em> for help.</p>\n<p>To convert from degrees to radians, multiply by $\\frac{\\pi}{180}$.</p>", "rulesets": {}, "parts": [{"prompt": "<p>\\[\\var{a}\\sin(\\theta)=\\var{a-1}\\]</p>\n<p>$\\sin(\\theta)=$ [[0]]</p>\n<p>$\\theta=$ [[1]]&nbsp;or&nbsp;[[2]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": true, "variableReplacements": [], "maxValue": "{f1}+0.01", "minValue": "{f1}-0.01", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": true, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "precision": "2", "maxValue": "{s11}", "variableReplacementStrategy": "originalfirst", "strictPrecision": true, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": "100", "scripts": {}, "marks": 1, "minValue": "{s11}", "type": "numberentry", "showPrecisionHint": false}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "precision": "2", "maxValue": "{s12}", "variableReplacementStrategy": "originalfirst", "strictPrecision": true, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": "100", "scripts": {}, "marks": 1, "minValue": "{s12}", "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p>\\[\\var{b}\\cos(\\theta)=\\var{c}\\]</p>\n<p>$\\cos(\\theta)=$ [[0]]</p>\n<p>$\\theta=$ [[1]]&nbsp;or [[2]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": true, "variableReplacements": [], "maxValue": "{f2}+0.01", "minValue": "{f2}-0.01", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": true, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "precision": "2", "maxValue": "{s21}", "variableReplacementStrategy": "originalfirst", "strictPrecision": true, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": "100", "scripts": {}, "marks": 1, "minValue": "{s21}", "type": "numberentry", "showPrecisionHint": false}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "precision": "2", "maxValue": "{s22}", "variableReplacementStrategy": "originalfirst", "strictPrecision": true, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": "100", "scripts": {}, "marks": 1, "minValue": "{s22}", "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p>\\[\\var{c+3}\\sin(\\theta)=-\\var{c}\\]</p>\n<p>$\\sin(\\theta)=$ [[0]]</p>\n<p>$\\theta=$ [[1]]&nbsp;or&nbsp;[[2]]</p>\n<p>Discard any solutions out of range.</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": true, "variableReplacements": [], "maxValue": "{f4}+0.01", "minValue": "{f4}-0.01", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": true, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "precision": "2", "maxValue": "{s41}", "variableReplacementStrategy": "originalfirst", "strictPrecision": true, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": "100", "scripts": {}, "marks": 1, "minValue": "{s41}", "type": "numberentry", "showPrecisionHint": false}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "precision": "2", "maxValue": "{s42}", "variableReplacementStrategy": "originalfirst", "strictPrecision": true, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": "100", "scripts": {}, "marks": 1, "minValue": "{s42}", "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p>\\[\\var{b+1}\\cos(\\theta)=-\\var{b-1}\\]</p>\n<p>$\\cos(\\theta)=$ [[0]]</p>\n<p>$\\theta=$ [[1]]&nbsp;or&nbsp;[[2]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": true, "variableReplacements": [], "maxValue": "{f3}+0.01", "minValue": "{f3}-0.01", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": true, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "precision": "2", "maxValue": "{s31}", "variableReplacementStrategy": "originalfirst", "strictPrecision": true, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": "100", "scripts": {}, "marks": 1, "minValue": "{s31}", "type": "numberentry", "showPrecisionHint": false}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "precision": "2", "maxValue": "{s32}", "variableReplacementStrategy": "originalfirst", "strictPrecision": true, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": "100", "scripts": {}, "marks": 1, "minValue": "{s32}", "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "extensions": [], "statement": "<p><strong>Solve the following equations in <em>radians</em>, for $\\theta$ in the range $0\\leq\\theta\\leq2\\pi$.</strong></p>\n<p>Give your answers correct to 2 decimal places in ascending order.</p>", "variable_groups": [{"variables": ["a", "f1", "s1", "s11", "s12"], "name": "Q1"}, {"variables": ["b", "c", "f2", "s2", "s21", "s22"], "name": "Q2"}, {"variables": ["f3", "s31", "s32", "s3"], "name": "Q4"}, {"variables": ["f4", "s4", "s41", "s42"], "name": "Q3"}], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"a": {"definition": "random(3..9)", "templateType": "anything", "group": "Q1", "name": "a", "description": ""}, "f1": {"definition": "(a-1)/a", "templateType": "anything", "group": "Q1", "name": "f1", "description": ""}, "f2": {"definition": "c/b", "templateType": "anything", "group": "Q2", "name": "f2", "description": ""}, "f3": {"definition": "(1-b)/(b+1)", "templateType": "anything", "group": "Q4", "name": "f3", "description": ""}, "f4": {"definition": "-c/(c+3)", "templateType": "anything", "group": "Q3", "name": "f4", "description": ""}, "s3": {"definition": "arccos(f3)", "templateType": "anything", "group": "Q4", "name": "s3", "description": ""}, "s2": {"definition": "arccos(f2)", "templateType": "anything", "group": "Q2", "name": "s2", "description": ""}, "s1": {"definition": "arcsin(f1)", "templateType": "anything", "group": "Q1", "name": "s1", "description": ""}, "s31": {"definition": "precround(s3,2)", "templateType": "anything", "group": "Q4", "name": "s31", "description": ""}, "c": {"definition": "random(2..b-1)", "templateType": "anything", "group": "Q2", "name": "c", "description": ""}, "s4": {"definition": "arcsin(f4)", "templateType": "anything", "group": "Q3", "name": "s4", "description": ""}, "s22": {"definition": "precround(2*pi-s2,2)", "templateType": "anything", "group": "Q2", "name": "s22", "description": ""}, "b": {"definition": "random(5..12)", "templateType": "anything", "group": "Q2", "name": "b", "description": ""}, "s41": {"definition": "precround(pi-s4,2)", "templateType": "anything", "group": "Q3", "name": "s41", "description": ""}, "s42": {"definition": "precround(2*pi+s4,2)", "templateType": "anything", "group": "Q3", "name": "s42", "description": ""}, "s12": {"definition": "precround(pi-s1,2)", "templateType": "anything", "group": "Q1", "name": "s12", "description": ""}, "s21": {"definition": "precround(s2,2)", "templateType": "anything", "group": "Q2", "name": "s21", "description": ""}, "s32": {"definition": "precround(2*pi-s3,2)", "templateType": "anything", "group": "Q4", "name": "s32", "description": ""}, "s11": {"definition": "precround(s1,2)", "templateType": "anything", "group": "Q1", "name": "s11", "description": ""}}, "metadata": {"description": "<p>Simple trig equations with radians</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}], "contributors": [{"name": "steve kilgallon", "profile_url": 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