[{"data":1,"prerenderedAt":125},["ShallowReactive",2],{"\u002Fpublic\u002Ftopics\u002Ftrigonometria\u002Fidentidades-trigonometricas?{}":3,"topics-with-content:trigonometria":111},{"course":4,"topic":12,"counts":17,"universities":22,"channels":33,"sampleQuestions":67,"sameName":110},{"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},407,"identidades-trigonometricas","Identidades trigonométricas",6,{"topicId":13,"courseId":5,"questions":18,"classes":19,"videos":20,"minutes":21},9,149,117,2630,[23,29],{"universityId":24,"questions":16,"years":25},2,[26,27,28],2026,2024,2022,{"universityId":30,"questions":11,"years":31},1,[26,32,28],2025,[34,37,40,43,46,49,52,55,57,59,61,63,65],{"name":35,"classes":36},"Alberto Cruz",51,{"name":38,"classes":39},"Academia ipluton",22,{"name":41,"classes":42},"Academia Grupo Ciencias",20,{"name":44,"classes":45},"CEPRE UNMSM",16,{"name":47,"classes":48},"Academias Aduni y César Vallejo",10,{"name":50,"classes":51},"Ciclo Uni-San Marcos",8,{"name":53,"classes":54},"Pamer Corporación Educativa",7,{"name":56,"classes":5},"META VILLARREAL",{"name":58,"classes":5},"Saco Oliveros",{"name":60,"classes":5},"Salón Sapiens",{"name":62,"classes":30},"Academia Internet",{"name":64,"classes":30},"Academia_Pitagoras",{"name":66,"classes":30},"Trilce Multimedia",[68,93],{"id":69,"courseId":5,"topicId":13,"pastExamId":70,"stem":71,"options":72,"correctKey":80,"explanation":88,"difficulty":5,"status":89,"source":90,"stats":91},1663,198,"Determine la variación de la expresión\n$-\\cos(\\theta)-\\operatorname{sen}(\\theta)-\\sqrt{1-2\\operatorname{sen}(\\theta)\\cos(\\theta)}$,\nsabiendo que $\\theta\\in\\left\\langle\\pi;\\dfrac{5\\pi}{4}\\right\\rangle$.",[73,76,79,82,85],{"key":74,"text":75},"A","$\\left\\langle-\\sqrt{2};\\sqrt{2}\\right\\rangle$",{"key":77,"text":78},"B","$\\left\\langle0;\\infty\\right\\rangle$",{"key":80,"text":81},"C","$\\left\\langle0;\\sqrt{2}\\right\\rangle$",{"key":83,"text":84},"D","$\\left\\langle-1;1\\right\\rangle$",{"key":86,"text":87},"E","$\\left[-\\dfrac{\\sqrt{2}}{2};\\dfrac{\\sqrt{2}}{2}\\right]$","","published","UNI 2026-1 · Matemática",{"attempts":92,"accuracy":92},0,{"id":94,"courseId":5,"topicId":13,"pastExamId":95,"stem":96,"options":97,"correctKey":74,"explanation":88,"difficulty":5,"status":89,"source":108,"stats":109},5129,249,"Un médico le indica a su paciente que debe aplicarse un preparado dermatológico cada $n$ horas, donde $n=2\\cos 2\\theta+10\\operatorname{sen}2\\theta$. Si $2\\sec\\theta\\csc\\theta=\\cot\\theta+5$ y el tratamiento dura 6 días, ¿cuántas veces el paciente se aplicó el preparado durante su tratamiento?",[98,100,102,104,106],{"key":74,"text":99},"24",{"key":77,"text":101},"48",{"key":80,"text":103},"18",{"key":83,"text":105},"36",{"key":86,"text":107},"12","UNMSM 2026-II · Área A · Ciencias de la Salud",{"attempts":92,"accuracy":92},[],[112,113,114,115,116,117,13,118,119,120,121,122,123,124],401,402,403,404,405,406,408,409,410,411,412,413,414,1791501527782]