// Numbas version: exam_results_page_options
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= \\var{x1x2_5} \\text{&nbsp; or&nbsp; } \\var{x2x2_5} \\text{&nbsp; or&nbsp; } (\\var{x1x2_5}+2\\pi) \\text{&nbsp; or&nbsp; } (\\var{x2x2_5}+2\\pi)&nbsp; &nbsp;\\\\\\\\<br/>2x &amp; = \\var{x1x2_5} \\text{&nbsp; or&nbsp; } \\var{x2x2_5} \\text{&nbsp; or&nbsp; } \\var{x3x2_5} \\text{&nbsp; or&nbsp; } \\var{x4x2_5} \\\\\\\\<br/>x &amp;= \\var{x1_3}^c \\text{&nbsp; or&nbsp; }\\var{x2_3}^c \\text{&nbsp; or&nbsp; }\\var{x3_3}^c \\text{&nbsp; or&nbsp; }\\var{x4_3}^c \\text{&nbsp; to 3 sig fig}<br/>\\end{align}</p>", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"a": {"name": "a", "group": "Ungrouped variables", "definition": "random(0.01 .. 0.99#0.01)", "description": "", "templateType": "randrange", "can_override": false}, "x1x2": {"name": "x1x2", "group": "Ungrouped variables", "definition": "arccos(a)", "description": "", "templateType": "anything", "can_override": false}, "x2x2": {"name": "x2x2", "group": "Ungrouped variables", "definition": "2pi-{x1x2}", "description": "", "templateType": "anything", "can_override": false}, "x3x2": {"name": "x3x2", "group": "Ungrouped variables", "definition": "{x1x2}+2pi", "description": "", "templateType": "anything", "can_override": false}, "x4x2": {"name": "x4x2", "group": "Ungrouped variables", "definition": "{x2x2}+2pi", "description": "", "templateType": "anything", "can_override": false}, "x1": {"name": "x1", "group": "Ungrouped variables", "definition": "{x1x2}/2", "description": "", "templateType": "anything", "can_override": false}, "x2": {"name": "x2", "group": "Ungrouped variables", "definition": "{x2x2}/2", "description": "", "templateType": "anything", "can_override": false}, "x3": {"name": "x3", "group": "Ungrouped variables", "definition": "{x3x2}/2", "description": "", "templateType": "anything", "can_override": false}, "x4": {"name": "x4", "group": "Ungrouped variables", "definition": "{x4x2}/2", "description": "", "templateType": "anything", "can_override": false}, "x1x2_5": {"name": "x1x2_5", "group": "Ungrouped variables", "definition": "sigformat(x1x2,5)", "description": "", "templateType": "anything", "can_override": false}, "x2x2_5": {"name": "x2x2_5", "group": "Ungrouped variables", "definition": "sigformat(x2x2,5)", "description": "", "templateType": "anything", "can_override": false}, "x3x2_5": {"name": "x3x2_5", "group": "Ungrouped variables", "definition": "sigformat(x3x2,5)", "description": "", "templateType": "anything", "can_override": false}, "x4x2_5": {"name": "x4x2_5", "group": "Ungrouped variables", "definition": "sigformat(x4x2,5)", "description": "", "templateType": "anything", "can_override": false}, "x1_3": {"name": "x1_3", "group": "Ungrouped variables", "definition": "sigformat(x1,3)", "description": "", "templateType": "anything", "can_override": false}, "x2_3": {"name": "x2_3", "group": "Ungrouped variables", "definition": "sigformat(x2,3)", "description": "", "templateType": "anything", "can_override": false}, "x3_3": {"name": "x3_3", "group": "Ungrouped variables", "definition": "sigformat(x3,3)", "description": "", "templateType": "anything", "can_override": false}, "x4_3": {"name": "x4_3", "group": "Ungrouped variables", "definition": "sigformat(x4,3)", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["a", "x1x2", "x2x2", "x3x2", "x4x2", "x1", "x2", "x3", "x4", "x1x2_5", "x2x2_5", "x3x2_5", "x4x2_5", "x1_3", "x2_3", "x3_3", "x4_3"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": true, "customName": "a)", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Solve&nbsp; 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