[{"data":1,"prerenderedAt":116},["ShallowReactive",2],{"\u002Fpublic\u002Ftopics\u002Ftrigonometria\u002Ffunciones-trigonometricas-inversas?{}":3,"topics-with-content:trigonometria":102},{"course":4,"topic":12,"counts":17,"universities":22,"channels":34,"sampleQuestions":59,"sameName":101},{"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},412,"funciones-trigonometricas-inversas","Funciones trigonométricas inversas",11,{"topicId":13,"courseId":5,"questions":18,"classes":19,"videos":20,"minutes":21},15,64,51,1478,[23,31],{"universityId":24,"questions":16,"years":25},2,[26,27,28,29,30],2026,2025,2024,2023,2022,{"universityId":32,"questions":5,"years":33},1,[26,27,29],[35,38,41,44,46,48,51,53,55,57],{"name":36,"classes":37},"Alberto Cruz",17,{"name":39,"classes":40},"CEPRE UNMSM",10,{"name":42,"classes":43},"Academia Grupo Ciencias",8,{"name":45,"classes":43},"Academia ipluton",{"name":47,"classes":43},"Salón Sapiens",{"name":49,"classes":50},"Academias Aduni y César Vallejo",7,{"name":52,"classes":11},"Ciclo Uni-San Marcos",{"name":54,"classes":32},"Academia_Pitagoras",{"name":56,"classes":32},"Pamer Corporación Educativa",{"name":58,"classes":32},"Trilce Multimedia",[60,85],{"id":61,"courseId":5,"topicId":13,"pastExamId":62,"stem":63,"options":64,"correctKey":78,"explanation":80,"difficulty":5,"status":81,"source":82,"stats":83},1659,198,"Calcule el valor de $C$ para que se cumpla la siguiente igualdad:\n$\\operatorname{sen}^{-1}\\left(\\dfrac{2x+1}{3}\\right)=C-2\\operatorname{sen}^{-1}\\left(\\sqrt{\\dfrac{1-x}{3}}\\right)$",[65,68,71,74,77],{"key":66,"text":67},"A","$-\\dfrac{\\pi}{4}$",{"key":69,"text":70},"B","$-\\dfrac{\\pi}{6}$",{"key":72,"text":73},"C","0",{"key":75,"text":76},"D","$\\dfrac{\\pi}{4}$",{"key":78,"text":79},"E","$\\dfrac{\\pi}{2}$","","published","UNI 2026-1 · Matemática",{"attempts":84,"accuracy":84},0,{"id":86,"courseId":5,"topicId":13,"pastExamId":87,"stem":88,"options":89,"correctKey":72,"explanation":80,"difficulty":11,"status":81,"source":99,"stats":100},1837,201,"Determine el valor de $M$ si\n$$M=2\\arctan(x)+\\operatorname{arcsen}\\left(\\frac{1-x^2}{1+x^2}\\right)+\\frac{\\pi}{6},\\ x>0$$",[90,92,93,95,97],{"key":66,"text":91},"$\\dfrac{\\pi}{8}$",{"key":69,"text":79},{"key":72,"text":94},"$\\dfrac{2\\pi}{3}$",{"key":75,"text":96},"$\\dfrac{3\\pi}{4}$",{"key":78,"text":98},"$\\dfrac{3\\pi}{2}$","UNI 2026-2 · Matemática",{"attempts":84,"accuracy":84},[],[103,104,105,106,107,108,109,110,111,112,113,13,114,115],401,402,403,404,405,406,407,408,409,410,411,413,414,1791501527987]