[{"data":1,"prerenderedAt":122},["ShallowReactive",2],{"\u002Fpublic\u002Ftopics\u002Ftrigonometria\u002Fresolucion-de-triangulos?{}":3,"topics-with-content:trigonometria":108},{"course":4,"topic":12,"counts":17,"universities":22,"channels":36,"sampleQuestions":64,"sameName":107},{"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},414,"resolucion-de-triangulos","Resolución de triángulos",13,{"topicId":13,"courseId":5,"questions":18,"classes":19,"videos":20,"minutes":21},25,105,80,1981,[23,32],{"universityId":24,"questions":25,"years":26},1,14,[27,28,29,30,31],2026,2025,2024,2023,2022,{"universityId":33,"questions":34,"years":35},2,11,[27,28,29,30,31],[37,40,43,46,48,51,54,56,58,60,62],{"name":38,"classes":39},"Alberto Cruz",31,{"name":41,"classes":42},"Academia Grupo Ciencias",18,{"name":44,"classes":45},"Academia ipluton",16,{"name":47,"classes":45},"Ciclo Uni-San Marcos",{"name":49,"classes":50},"Academia Internet",8,{"name":52,"classes":53},"Pamer Corporación Educativa",5,{"name":55,"classes":11},"Academias Aduni y César Vallejo",{"name":57,"classes":11},"CEPRE UNMSM",{"name":59,"classes":11},"Salón Sapiens",{"name":61,"classes":24},"Academia_Pitagoras",{"name":63,"classes":24},"META VILLARREAL",[65,90],{"id":66,"courseId":5,"topicId":13,"pastExamId":67,"stem":68,"options":69,"correctKey":80,"explanation":85,"difficulty":53,"status":86,"source":87,"stats":88},1666,198,"En un triángulo $ABC$, las longitudes de la bisectriz interior y bisectriz exterior del ángulo $A$ son $V_{A}$ y $V'_{A}$ respectivamente. Sabiendo que $m\\measuredangle B>m\\measuredangle C$, indique el equivalente de\n$\\tan\\left(\\dfrac{B-C}{2}\\right)$.",[70,73,76,79,82],{"key":71,"text":72},"A","$\\dfrac{V_{A}+V'_{A}}{V'_{A}}$",{"key":74,"text":75},"B","$\\dfrac{V_{A}-V'_{A}}{V'_{A}}$",{"key":77,"text":78},"C","$\\dfrac{V'_{A}-V_{A}}{V_{A}}$",{"key":80,"text":81},"D","$\\dfrac{V_{A}}{V'_{A}}$",{"key":83,"text":84},"E","$\\dfrac{V'_{A}}{V_{A}}$","","published","UNI 2026-1 · Matemática",{"attempts":89,"accuracy":89},0,{"id":91,"courseId":5,"topicId":13,"pastExamId":92,"stem":93,"options":94,"correctKey":77,"explanation":85,"difficulty":5,"status":86,"source":105,"stats":106},5597,256,"En un triángulo escaleno $ABC$ con $AB=c$ m $BC=a$ m y $AC=b$ m, se cumple que $(a+b)\\tan\\left(\\dfrac{C}{2}\\right)=k(a-b)$. Una empresa decide invertir $(4k+7)$ miles de soles para mejorar su sistema informático. Si $9\\tan(A-B)=40$, ¿cuánto invirtió dicha empresa, en soles?",[95,97,99,101,103],{"key":71,"text":96},"11 000",{"key":74,"text":98},"10 200",{"key":77,"text":100},"12 000",{"key":80,"text":102},"9000",{"key":83,"text":104},"10 500","UNMSM 2026-I · Área B · Ciencias Básicas",{"attempts":89,"accuracy":89},[],[109,110,111,112,113,114,115,116,117,118,119,120,121,13],401,402,403,404,405,406,407,408,409,410,411,412,413,1791501528071]