[{"data":1,"prerenderedAt":118},["ShallowReactive",2],{"\u002Fpublic\u002Ftopics\u002Ftrigonometria\u002Ftransformaciones-trigonometricas?{}":3,"topics-with-content:trigonometria":104},{"course":4,"topic":12,"counts":17,"universities":22,"channels":35,"sampleQuestions":60,"sameName":103},{"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},410,"transformaciones-trigonometricas","Transformaciones trigonométricas",9,{"topicId":13,"courseId":5,"questions":18,"classes":19,"videos":20,"minutes":21},8,56,50,1115,[23,32],{"universityId":24,"questions":25,"years":26},1,6,[27,28,29,30,31],2026,2025,2024,2023,2022,{"universityId":33,"questions":33,"years":34},2,[28,30],[36,39,41,44,46,48,50,52,54,56,58],{"name":37,"classes":38},"Alberto Cruz",20,{"name":40,"classes":16},"Academia ipluton",{"name":42,"classes":43},"Academias Aduni y César Vallejo",5,{"name":45,"classes":5},"Academia Grupo Ciencias",{"name":47,"classes":5},"Pamer Corporación Educativa",{"name":49,"classes":11},"CEPRE UNMSM",{"name":51,"classes":11},"Ciclo Uni-San Marcos",{"name":53,"classes":11},"Salón Sapiens",{"name":55,"classes":33},"META VILLARREAL",{"name":57,"classes":33},"Trilce Multimedia",{"name":59,"classes":24},"Academia_Pitagoras",[61,86],{"id":62,"courseId":5,"topicId":13,"pastExamId":63,"stem":64,"options":65,"correctKey":79,"explanation":81,"difficulty":5,"status":82,"source":83,"stats":84},5039,248,"Desde su teléfono móvil, Lucía le transfiere a su amiga Karla el monto de $(6k^{2}+1)$ soles. Si $k\\operatorname{sen}112°=\\cos 7°+\\operatorname{sen}7°+\\sqrt{6}\\cos 52°$, ¿cuántos soles recibe Karla por tal transferencia?",[66,69,72,75,78],{"key":67,"text":68},"A","13",{"key":70,"text":71},"B","37",{"key":73,"text":74},"C","19",{"key":76,"text":77},"D","73",{"key":79,"text":80},"E","49","","published","UNMSM 2026-II · Medicina Humana",{"attempts":85,"accuracy":85},0,{"id":87,"courseId":5,"topicId":13,"pastExamId":88,"stem":89,"options":90,"correctKey":73,"explanation":81,"difficulty":43,"status":82,"source":101,"stats":102},1299,192,"Considere la igualdad\n$10\\cos(2\\alpha)-13\\cos(3\\alpha)+2\\operatorname{sen}\\left(\\dfrac{5\\alpha}{2}\\right)\\operatorname{sen}\\left(\\dfrac{\\alpha}{2}\\right)=0$,\ndonde $\\alpha\\notin\\left\\{(2k+1)\\dfrac{\\pi}{6};\\ k\\in\\mathbb{Z}\\right\\}$\nCalcule $\\dfrac{11}{28}[\\sec(\\alpha)+\\sec(3\\alpha)]$",[91,93,95,97,99],{"key":67,"text":92},"$\\dfrac{1}{4}$",{"key":70,"text":94},"$\\dfrac{1}{2}$",{"key":73,"text":96},"1",{"key":76,"text":98},"$\\dfrac{3}{2}$",{"key":79,"text":100},"2","UNI 2025-1 · Matemática",{"attempts":85,"accuracy":85},[],[105,106,107,108,109,110,111,112,113,13,114,115,116,117],401,402,403,404,405,406,407,408,409,411,412,413,414,1791501527979]