// Numbas version: finer_feedback_settings
{"name": "MATH6058 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": {}, "preamble": {"js": "", "css": ""}, "variable_groups": [], "name": "MATH6058 Cos, Sin and Tan questions", "ungrouped_variables": ["num1", "ans1", "num2", "ans2", "num3", "ans3", "num4", "ans4"], "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>", "statement": "<p>Evaluate each of the 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>", "parts": [{"gaps": [{"correctAnswerFraction": false, "notationStyles": ["plain", "en", "si-en"], "precision": "3", "showCorrectAnswer": true, "mustBeReduced": false, "maxValue": "{ans1}", "precisionType": "dp", "allowFractions": false, "scripts": {}, "showFeedbackIcon": true, "minValue": "{ans1}", "type": "numberentry", "variableReplacements": [], "marks": 1, "mustBeReducedPC": 0, "variableReplacementStrategy": "originalfirst", "strictPrecision": false, "correctAnswerStyle": "plain", "showPrecisionHint": false, "precisionMessage": "You have not given your answer to the correct precision.", "precisionPartialCredit": 0}], "prompt": "<p>$\\frac{\\cos(\\var{num1[0]}^{\\circ}) + \\sin(\\var{num1[1]}^{\\circ})}{\\tan(\\var{num1[2]}^{\\circ})}$</p>\n<p>[[0]]</p>", "type": "gapfill", "variableReplacements": [], "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "marks": 0, "showFeedbackIcon": true, "scripts": {}}, {"gaps": [{"correctAnswerFraction": false, "notationStyles": ["plain", "en", "si-en"], "precision": "3", "showCorrectAnswer": true, "mustBeReduced": false, "maxValue": "{ans2}", "precisionType": "dp", "allowFractions": false, "scripts": {}, "showFeedbackIcon": true, "minValue": "{ans2}", "type": "numberentry", "variableReplacements": [], "marks": 1, "mustBeReducedPC": 0, "variableReplacementStrategy": "originalfirst", "strictPrecision": false, "correctAnswerStyle": "plain", "showPrecisionHint": false, "precisionMessage": "You have not given your answer to the correct precision.", "precisionPartialCredit": 0}], "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>", "type": "gapfill", "variableReplacements": [], "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "marks": 0, "showFeedbackIcon": true, "scripts": {}}, {"gaps": [{"correctAnswerFraction": false, "notationStyles": ["plain", "en", "si-en"], "precision": "3", "showCorrectAnswer": true, "mustBeReduced": false, "maxValue": "{ans3}", "precisionType": "dp", "allowFractions": false, "scripts": {}, "showFeedbackIcon": true, "minValue": "{ans3}", "type": "numberentry", "variableReplacements": [], "marks": 1, "mustBeReducedPC": 0, "variableReplacementStrategy": "originalfirst", "strictPrecision": false, "correctAnswerStyle": "plain", "showPrecisionHint": false, "precisionMessage": "You have not given your answer to the correct precision.", "precisionPartialCredit": 0}], "prompt": "<p>$\\frac{\\cos(\\var{num3[0]}) + \\sin(\\var{num3[1]})}{\\tan(\\var{num3[2]})}$</p>\n<p>[[0]]</p>", "type": "gapfill", "variableReplacements": [], "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "marks": 0, "showFeedbackIcon": true, "scripts": {}}, {"gaps": [{"correctAnswerFraction": false, "notationStyles": ["plain", "en", "si-en"], "precision": "3", "showCorrectAnswer": true, "mustBeReduced": false, "maxValue": "{ans4}", "precisionType": "dp", "allowFractions": false, "scripts": {}, "showFeedbackIcon": true, "minValue": "{ans4}", "type": "numberentry", "variableReplacements": [], "marks": 1, "mustBeReducedPC": 0, "variableReplacementStrategy": "originalfirst", "strictPrecision": false, "correctAnswerStyle": "plain", "showPrecisionHint": false, "precisionMessage": "You have not given your answer to the correct precision.", "precisionPartialCredit": 0}], "prompt": "<p>$\\frac{\\sin(\\var{num4[0]}) + \\cos(\\var{num4[1]})}{\\tan(\\var{num4[2]}) - \\sin(\\var{num4[3]})}$</p>\n<p>[[0]]</p>", "type": "gapfill", "variableReplacements": [], "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "marks": 0, "showFeedbackIcon": true, "scripts": {}}], "metadata": {"description": "<p>Cos, Sin and Tan</p>\n<p>rebelmaths</p>", "licence": "Creative Commons Attribution 4.0 International"}, "variablesTest": {"maxRuns": 100, "condition": ""}, "extensions": [], "variables": {"num1": {"definition": "shuffle(20..55)[0..3]", "name": "num1", "description": "", "group": "Ungrouped variables", "templateType": "anything"}, "ans2": {"definition": "(tan(radians(num2[0]))+sin(radians(num2[1])))/(cos(radians(num2[2]))-sin(radians(num2[3])))", "name": "ans2", "description": "", "group": "Ungrouped variables", "templateType": "anything"}, "ans1": {"definition": "(cos(radians(num1[0]))+sin(radians(num1[1])))/tan(radians(num1[2]))", "name": "ans1", "description": "", "group": "Ungrouped variables", "templateType": "anything"}, "num3": {"definition": "shuffle(1.51..2.99#0.01)[0..3]", "name": "num3", "description": "", "group": "Ungrouped variables", "templateType": "anything"}, "ans4": {"definition": "(sin((num4[0]))+cos((num4[1])))/(tan((num4[2]))-sin((num4[3])))", "name": "ans4", "description": "", "group": "Ungrouped variables", "templateType": "anything"}, "num4": {"definition": "shuffle(2.6..5.4#0.1 except[3,4,5])[0..4]", "name": "num4", "description": "", "group": "Ungrouped variables", "templateType": "anything"}, "num2": {"definition": "shuffle(30..80)[0..4]", "name": "num2", "description": "", "group": "Ungrouped variables", "templateType": "anything"}, "ans3": {"definition": "(cos((num3[0]))+sin((num3[1])))/tan((num3[2]))", "name": "ans3", "description": "", "group": "Ungrouped variables", "templateType": "anything"}}, "rulesets": {}, "tags": [], "type": "question", "contributors": [{"name": "Catherine Palmer", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/423/"}]}]}], "contributors": [{"name": "Catherine Palmer", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/423/"}]}