// Numbas version: exam_results_page_options
{"name": "Q1 Cos, Sin and Tan questions", "extensions": [], "custom_part_types": [], "resources": [["question-resources/Trig_Za5uJcH.jpg", "/srv/numbas/media/question-resources/Trig_Za5uJcH.jpg"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": ["num1", "ans1", "num2", "ans2", "num3", "ans3", "num4", "ans4"], "name": "Q1 Cos, Sin and Tan questions", "tags": ["rebelmaths"], "advice": "<p>i)$\\frac{\\cos(\\var{num1[0]}^{\\circ}) + \\sin(\\var{num1[1]}^{\\circ})}{\\tan(\\var{num1[2]}^{\\circ})} = \\var{ans1}$</p>\n<p>ii) $\\frac{\\tan(\\var{num2[0]}^{\\circ}) + \\sin(\\var{num2[1]}^{\\circ})}{\\cos(\\var{num2[2]}^{\\circ}) - \\sin(\\var{num2[3]}^{\\circ})} = \\var{ans2}$</p>\n<p>iii) $\\frac{\\cos(\\var{num3[0]}) + \\sin(\\var{num3[1]})}{\\tan(\\var{num3[2]})} = &nbsp;\\var{ans3}$</p>\n<p>iv) $\\frac{\\sin(\\var{num4[0]}) + \\cos(\\var{num4[1]})}{\\tan(\\var{num4[2]}) - \\sin(\\var{num4[3]})} = \\var{ans4}$</p>", "rulesets": {}, "parts": [{"prompt": "<p>$\\frac{\\cos(\\var{num1[0]}^{\\circ}) + \\sin(\\var{num1[1]}^{\\circ})}{\\tan(\\var{num1[2]}^{\\circ})}$</p>\n<p>[[0]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "precision": "3", "maxValue": "{ans1}", "minValue": "{ans1}", "variableReplacementStrategy": "originalfirst", "strictPrecision": false, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": 0, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p>$\\frac{\\tan(\\var{num2[0]}^{\\circ}) + \\sin(\\var{num2[1]}^{\\circ})}{\\cos(\\var{num2[2]}^{\\circ}) - \\sin(\\var{num2[3]}^{\\circ})}$</p>\n<p>[[0]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "precision": "3", "maxValue": "{ans2}", "minValue": "{ans2}", "variableReplacementStrategy": "originalfirst", "strictPrecision": false, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": 0, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p>$\\frac{\\cos(\\var{num3[0]}) + \\sin(\\var{num3[1]})}{\\tan(\\var{num3[2]})}$</p>\n<p>[[0]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "precision": "3", "maxValue": "{ans3}", "minValue": "{ans3}", "variableReplacementStrategy": "originalfirst", "strictPrecision": false, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": 0, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p>$\\frac{\\sin(\\var{num4[0]}) + \\cos(\\var{num4[1]})}{\\tan(\\var{num4[2]}) - \\sin(\\var{num4[3]})}$</p>\n<p>[[0]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "precision": "3", "maxValue": "{ans4}", "minValue": "{ans4}", "variableReplacementStrategy": "originalfirst", "strictPrecision": false, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": 0, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "extensions": [], "statement": "<p>Evaluate each of te following, correct to 3 decimal places:</p>\n<p>Don't forget the order of operations. <strong>BOMDAS</strong>!!</p>\n<p>Hint: Check mode of&nbsp;calculator, radians mode needed for some and degree mode needed for others!!</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "preamble": {"css": "", "js": ""}, "variables": {"num4": {"definition": "shuffle(2.6..5.4#0.1 except[3,4,5])[0..4]", "templateType": "anything", "group": "Ungrouped variables", "name": "num4", "description": ""}, "num1": {"definition": "shuffle(20..55)[0..3]", "templateType": "anything", "group": "Ungrouped variables", "name": "num1", "description": ""}, "num2": {"definition": "shuffle(30..80)[0..4]", "templateType": "anything", "group": "Ungrouped variables", "name": "num2", "description": ""}, "num3": {"definition": "shuffle(1.51..2.99#0.01)[0..3]", "templateType": "anything", "group": "Ungrouped variables", "name": "num3", "description": ""}, "ans1": {"definition": "(cos(radians(num1[0]))+sin(radians(num1[1])))/tan(radians(num1[2]))", "templateType": "anything", "group": "Ungrouped variables", "name": "ans1", "description": ""}, "ans2": {"definition": "(tan(radians(num2[0]))+sin(radians(num2[1])))/(cos(radians(num2[2]))-sin(radians(num2[3])))", "templateType": "anything", "group": "Ungrouped variables", "name": "ans2", "description": ""}, "ans3": {"definition": "(cos((num3[0]))+sin((num3[1])))/tan((num3[2]))", "templateType": "anything", "group": "Ungrouped variables", "name": "ans3", "description": ""}, "ans4": {"definition": "(sin((num4[0]))+cos((num4[1])))/(tan((num4[2]))-sin((num4[3])))", "templateType": "anything", "group": "Ungrouped variables", "name": "ans4", "description": ""}}, "metadata": {"description": "<p>Cos, Sin and Tan</p>\n<p>rebelmaths</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}], "contributors": [{"name": "TEAME CIT", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/591/"}]}]}], "contributors": [{"name": "TEAME CIT", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/591/"}]}