Testez vos connaissances sur les angles orientés en trigonométrie

Question 1 sur 10 10:00

[{"id":60147,"question":"Quelle est la mesure principale de l'angle 7π\/4 radians ?","option_a":"π\/4","option_b":"3π\/4","option_c":"5π\/4","option_d":"7π\/4","option_e":"","option_f":"","bonne_reponse":"A","explication":"La mesure principale doit être comprise entre 0 et 2π. 7π\/4 est déjà dans cet intervalle, donc c'est sa mesure principale.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":60148,"question":"Un angle orienté de -150° correspond à un angle positif de :","option_a":"210°","option_b":"30°","option_c":"150°","option_d":"240°","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour obtenir un angle positif équivalent, on ajoute 360° : -150° + 360° = 210°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":60149,"question":"Vrai ou Faux ? Le sinus d'un angle orienté est toujours positif.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le sinus est positif dans les quadrants 1 et 2, mais négatif dans les quadrants 3 et 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":60150,"question":"Quelle est la valeur de cos(π\/3) ?","option_a":"0","option_b":"1\/2","option_c":"√2\/2","option_d":"√3\/2","option_e":"","option_f":"","bonne_reponse":"B","explication":"cos(π\/3) = cos(60°) = 1\/2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":60151,"question":"Vrai ou Faux ? La tangente d'un angle est définie pour tout angle réel.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La tangente n'est pas définie pour les angles où cos(x) = 0, c'est-à-dire x = π\/2 + kπ (k entier).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":60152,"question":"Quelle formule relie sin(x) et cos(x) ?","option_a":"sin²(x) + cos²(x) = 0","option_b":"sin²(x) + cos²(x) = 1","option_c":"sin(x) + cos(x) = 1","option_d":"sin(x) * cos(x) = 1","option_e":"","option_f":"","bonne_reponse":"B","explication":"La formule fondamentale est sin²(x) + cos²(x) = 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":60153,"question":"Si α est un angle orienté, alors sin(-α) est égal à :","option_a":"sin(α)","option_b":"-sin(α)","option_c":"cos(α)","option_d":"-cos(α)","option_e":"","option_f":"","bonne_reponse":"B","explication":"La fonction sinus est impaire : sin(-α) = -sin(α).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":60154,"question":"Vrai ou Faux ? La mesure principale d'un angle est toujours positive.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La mesure principale est définie comme la valeur de l'angle comprise entre 0 et 2π (ou 0° et 360°), donc elle est toujours positive.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":60155,"question":"Quelle est la valeur de tan(π\/4) ?","option_a":"0","option_b":"1","option_c":"√2","option_d":"√3","option_e":"","option_f":"","bonne_reponse":"B","explication":"tan(π\/4) = tan(45°) = 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":60156,"question":"Si deux angles orientés ont la même extrémité sur le cercle trigonométrique, alors :","option_a":"Ils sont égaux","option_b":"Ils diffèrent d'un multiple de 2π","option_c":"Ils sont complémentaires","option_d":"Ils sont supplémentaires","option_e":"","option_f":"","bonne_reponse":"B","explication":"Deux angles ayant la même extrémité diffèrent d'un multiple de 2π (ou 360°).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]