[{"data":1,"prerenderedAt":110},["ShallowReactive",2],{"\u002Fpublic\u002Ftopics\u002Ftrigonometria\u002Fangulos-multiples?{}":3,"topics-with-content:trigonometria":96},{"course":4,"topic":12,"counts":17,"universities":22,"channels":33,"sampleQuestions":52,"sameName":95},{"id":5,"slug":6,"name":7,"shortName":8,"area":9,"icon":10,"sortOrder":11},4,"trigonometria","Trigonometría","Trig.","math","i-lucide-radius",3,{"id":13,"courseId":5,"slug":14,"name":15,"sortOrder":16},409,"angulos-multiples","Ángulos múltiples",8,{"topicId":13,"courseId":5,"questions":18,"classes":19,"videos":20,"minutes":21},11,26,23,1022,[23,29],{"universityId":24,"questions":16,"years":25},1,[26,27,28],2025,2024,2022,{"universityId":30,"questions":11,"years":31},2,[32,27,28],2026,[34,37,40,42,44,46,48,50],{"name":35,"classes":36},"Alberto Cruz",10,{"name":38,"classes":39},"Ciclo Uni-San Marcos",5,{"name":41,"classes":30},"Academia ipluton",{"name":43,"classes":30},"META VILLARREAL",{"name":45,"classes":30},"Pamer Corporación Educativa",{"name":47,"classes":30},"Saco Oliveros",{"name":49,"classes":30},"Salón Sapiens",{"name":51,"classes":24},"CEPRE UNMSM",[53,78],{"id":54,"courseId":5,"topicId":13,"pastExamId":55,"stem":56,"options":57,"correctKey":65,"explanation":73,"difficulty":11,"status":74,"source":75,"stats":76},1842,201,"Simplifique la expresión $F$, dada a continuación:\n$$F=24\\operatorname{sen}(\\alpha)\\cos^3(\\alpha)-32\\operatorname{sen}^3(\\alpha)\\cos^3(\\alpha)-18\\operatorname{sen}(\\alpha)\\cos(\\alpha)+24\\operatorname{sen}^3(\\alpha)\\cos(\\alpha)$$",[58,61,64,67,70],{"key":59,"text":60},"A","$\\operatorname{sen}(3\\alpha)$",{"key":62,"text":63},"B","$\\cos(3\\alpha)$",{"key":65,"text":66},"C","$\\operatorname{sen}(6\\alpha)$",{"key":68,"text":69},"D","$\\cos(6\\alpha)$",{"key":71,"text":72},"E","1","","published","UNI 2026-2 · Matemática",{"attempts":77,"accuracy":77},0,{"id":79,"courseId":5,"topicId":13,"pastExamId":80,"stem":81,"options":82,"correctKey":59,"explanation":73,"difficulty":5,"status":74,"source":93,"stats":94},4274,236,"Luis dicta clases por un pago diario de $100M$ soles, donde $M$ está dado por la siguiente expresión: $M=\\dfrac{1}{\\operatorname{sen}10^{\\circ}}-4\\cos20^{\\circ}$. ¿Cuánto recibió por dictar clases durante 5 días?",[83,85,87,89,91],{"key":59,"text":84},"1000",{"key":62,"text":86},"1200",{"key":65,"text":88},"1100",{"key":68,"text":90},"800",{"key":71,"text":92},"900","UNMSM 2025-II · Medicina Humana",{"attempts":77,"accuracy":77},[],[97,98,99,100,101,102,103,104,13,105,106,107,108,109],401,402,403,404,405,406,407,408,410,411,412,413,414,1791501527960]