{"version":3,"file":"1G12-DTiw_8pt.js","sources":["../../src/exercices/1e/1G12.js"],"sourcesContent":["import { combinaisonListes } from '../../lib/outils/arrayOutils'\nimport Exercice from '../deprecatedExercice.js'\nimport { context } from '../../modules/context.js'\nimport { listeQuestionsToContenu } from '../../modules/outils.js'\nimport { ajouteChampTexteMathLive } from '../../lib/interactif/questionMathLive.js'\n\nimport { setReponse } from '../../lib/interactif/gestionInteractif.js'\n\nexport const titre = 'cos et sin associés à un réel $x$'\nexport const interactifReady = true\nexport const interactifType = 'mathLive'\n\n// Les exports suivants sont optionnels mais au moins la date de publication semble essentielle\nexport const dateDePublication = '20/04/2022' // La date de publication initiale au format 'jj/mm/aaaa' pour affichage temporaire d'un tag\n\n/**\n * Description didactique de l'exercice\n * @author Stéphane Guyon\n * Référence\n */\nexport const uuid = 'b9e6a'\nexport const ref = '1G12'\nexport default function MesurePrincipale () {\n  Exercice.call(this) // Héritage de la classe Exercice()\n  this.consigne = 'Déterminer une écriture plus simple, en fonction de $\\\\cos(x)$ ou $\\\\sin(x)$.'\n  this.nbQuestions = 3 // Nombre de questions par défaut\n  this.nbCols = 2 // Uniquement pour la sortie LaTeX\n  this.nbColsCorr = 2 // Uniquement pour la sortie LaTeX\n  this.video = '' // Id YouTube ou url\n  this.sup = 1\n  this.nouvelleVersion = function () {\n    this.listeQuestions = [] // Liste de questions\n    this.listeCorrections = [] // Liste de questions corrigées\n    this.autoCorrection = []\n\n    const typeQuestionsDisponibles = [\n      {\n        texte: '$\\\\cos\\\\big(x+\\\\pi\\\\big)=$',\n        reponse: '-cos(x)',\n        texteCorr: '$\\\\cos(x+\\\\pi)=-\\\\cos(x)$'\n      },\n\n      {\n        texte: '$\\\\cos\\\\big(x-\\\\pi\\\\big)=$',\n        reponse: '-cos(x)',\n        texteCorr: '$\\\\cos(x-\\\\pi)=-\\\\cos(x)$'\n      },\n      {\n        texte: '$\\\\cos\\\\left(x+\\\\dfrac{\\\\pi}{2}\\\\right)=$',\n        reponse: '-sin(x)',\n        texteCorr: '$\\\\cos\\\\left(x+\\\\dfrac{\\\\pi}{2}\\\\right)=-\\\\sin(x)$'\n      },\n      {\n        texte: '$\\\\cos\\\\left(\\\\dfrac{\\\\pi}{2}-x\\\\right)=$',\n        reponse: 'sin(x)',\n        texteCorr: '$\\\\cos\\\\left(\\\\dfrac{\\\\pi}{2}-x\\\\right)=\\\\sin(x)$'\n      },\n      {\n        texte: '$\\\\cos\\\\big(x-5\\\\pi\\\\big)=$',\n        reponse: '-cos(x)',\n        texteCorr: '$\\\\cos(x-5\\\\pi)=-\\\\cos(x)$'\n      },\n      {\n        texte: '$\\\\cos\\\\big(x-3\\\\pi\\\\big)=$',\n        reponse: '-cos(x)',\n        texteCorr: '$\\\\cos(x-3\\\\pi)=-\\\\cos(x)$'\n      },\n      {\n        texte: '$\\\\cos\\\\big(x+5\\\\pi\\\\big)=$',\n        reponse: '-cos(x)',\n        texteCorr: '$\\\\cos(x+5\\\\pi)=-\\\\cos(x)$'\n      },\n      {\n        texte: '$\\\\cos\\\\big(x+3\\\\pi\\\\big)=$',\n        reponse: '-cos(x)',\n        texteCorr: '$\\\\cos(x+3\\\\pi)=-\\\\cos(x)$'\n      },\n      {\n        texte: '$\\\\sin\\\\big(x+\\\\pi\\\\big)=$',\n        reponse: '-sin(x)',\n        texteCorr: '$\\\\sin(x+\\\\pi)=-\\\\sin(x)$'\n      },\n      {\n        texte: '$\\\\sin\\\\big(x+3\\\\pi\\\\big)=$',\n        reponse: '-sin(x)',\n        texteCorr: '$\\\\sin(x+3\\\\pi)=-\\\\sin(x)$'\n      },\n      {\n        texte: '$\\\\sin\\\\big(x+5\\\\pi\\\\big)=$',\n        reponse: '-sin(x)',\n        texteCorr: '$\\\\sin(x+5\\\\pi)=-\\\\sin(x)$'\n      },\n      {\n        texte: '$\\\\sin\\\\big(x-\\\\pi\\\\big)=$',\n        reponse: '-sin(x)',\n        texteCorr: '$\\\\sin(x-\\\\pi)=-\\\\sin(x)$'\n      },\n      {\n        texte: '$\\\\sin\\\\big(x-3\\\\pi\\\\big)=$',\n        reponse: '-sin(x)',\n        texteCorr: '$\\\\sin(x-3\\\\pi)=-\\\\sin(x)$'\n      },\n      {\n        texte: '$\\\\sin\\\\big(x-5\\\\pi\\\\big)=$',\n        reponse: '-sin(x)',\n        texteCorr: '$\\\\sin(x-5\\\\pi)=-\\\\sin(x)$'\n      },\n      {\n        texte: '$\\\\sin\\\\left(x+\\\\dfrac{\\\\pi}{2}\\\\right)=$',\n        reponse: 'cos(x)',\n        texteCorr: '$\\\\sin\\\\left(x+\\\\dfrac{\\\\pi}{2}\\\\right)=\\\\cos(x)$'\n      },\n      {\n        texte: '$\\\\sin\\\\left(\\\\dfrac{\\\\pi}{2}-x\\\\right)=$',\n        reponse: 'cos(x)',\n        texteCorr: '$\\\\sin\\\\left(\\\\dfrac{\\\\pi}{2}-x\\\\right)=\\\\cos(x)$'\n      },\n      {\n        texte: '$\\\\sin\\\\big(x+2\\\\pi\\\\big)=$',\n        reponse: 'sin(x)',\n        texteCorr: '$\\\\sin(x+2\\\\pi)=\\\\sin(x)$'\n      },\n      {\n        texte: '$\\\\sin\\\\big(x+4\\\\pi\\\\big)=$',\n        reponse: 'sin(x)',\n        texteCorr: '$\\\\sin(x+4\\\\pi)=\\\\sin(x)$'\n      },\n      {\n        texte: '$\\\\sin\\\\big(x-2\\\\pi\\\\big)=$',\n        reponse: 'sin(x)',\n        texteCorr: '$\\\\sin(x-2\\\\pi)=\\\\sin(x)$'\n      },\n      {\n        texte: '$\\\\sin\\\\big(x-4\\\\pi\\\\big)=$',\n        reponse: 'sin(x)',\n        texteCorr: '$\\\\sin(x-4\\\\pi)=\\\\sin(x)$'\n      },\n      {\n        texte: '$\\\\cos\\\\big(x+4\\\\pi\\\\big)=$',\n        reponse: 'cos(x)',\n        texteCorr: '$\\\\cos(x+4\\\\pi)=\\\\cos(x)$'\n      },\n      {\n        texte: '$\\\\cos\\\\big(x-2\\\\pi\\\\big)=$',\n        reponse: 'cos(x)',\n        texteCorr: '$\\\\cos(x-2\\\\pi)=\\\\cos(x)$'\n      },\n      {\n        texte: '$\\\\cos\\\\big(x+2\\\\pi\\\\big)=$',\n        reponse: 'cos(x)',\n        texteCorr: '$\\\\cos(x+2\\\\pi)=\\\\cos(x)$'\n      },\n      {\n        texte: '$\\\\cos\\\\big(x-4\\\\pi\\\\big)=$',\n        reponse: 'cos(x)',\n        texteCorr: '$\\\\cos(x-4\\\\pi)=\\\\cos(x)$'\n      },\n      {\n        texte: '$\\\\cos\\\\big(-x\\\\big)=$',\n        reponse: 'cos(x)',\n        texteCorr: '$\\\\cos(-x)=\\\\cos(x)$'\n      },\n      {\n        texte: '$\\\\sin\\\\big(-x\\\\big)=$',\n        reponse: '-sin(x)',\n        texteCorr: '$\\\\sin(-x)=-\\\\sin(x)$'\n      }\n    ]\n    const listeTypeQuestions = combinaisonListes(typeQuestionsDisponibles, this.nbQuestions) // Tous les types de questions sont posés mais l'ordre diffère à chaque \"cycle\"\n    for (let i = 0, texte, cpt = 0; i < this.nbQuestions && cpt < 50;) { // Boucle principale où i+1 correspond au numéro de la question\n      texte = listeTypeQuestions[i].texte\n      setReponse(this, i, listeTypeQuestions[i].reponse)\n      texte += ajouteChampTexteMathLive(this, i, 'largeur25 inline nospacebefore grecTrigo') // n'ajoute rien si on n'est pas en interactif\n      if (!this.interactif) texte += '$\\\\ldots$'\n\n      // Si la question n'a jamais été posée, on l'enregistre\n      if (this.questionJamaisPosee(i, listeTypeQuestions[i].texte)) { // <- laisser le i et ajouter toutes les variables qui rendent les exercices différents (par exemple a, b, c et d)\n        this.listeQuestions.push(texte)\n        this.listeCorrections.push(listeTypeQuestions[i].texteCorr)\n        i++\n      }\n      cpt++\n    }\n    listeQuestionsToContenu(this) // On envoie l'exercice à la fonction de mise en page\n    if (!context.isHtml) {\n      this.canEnonce = 'Déterminer une écriture plus simple, en fonction de $\\\\cos(x)$ ou $\\\\sin(x)$.'\n      this.correction = this.listeCorrections[0]\n      this.canReponseACompleter = this.listeQuestions[0]\n    }\n  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