[{"data":1,"prerenderedAt":125},["ShallowReactive",2],{"\u002Fpublic\u002Ftopics\u002Ftrigonometria\u002Fecuaciones-trigonometricas?{}":3,"topics-with-content:trigonometria":111},{"course":4,"topic":12,"counts":17,"universities":22,"channels":36,"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},413,"ecuaciones-trigonometricas","Ecuaciones trigonométricas",12,{"topicId":13,"courseId":5,"questions":18,"classes":19,"videos":20,"minutes":21},17,68,65,1477,[23,32],{"universityId":24,"questions":25,"years":26},2,10,[27,28,29,30,31],2026,2025,2024,2023,2022,{"universityId":33,"questions":34,"years":35},1,7,[27,28,30,31],[37,40,43,45,48,51,53,55,57,59,61,63,65],{"name":38,"classes":39},"Academia ipluton",15,{"name":41,"classes":42},"Alberto Cruz",11,{"name":44,"classes":25},"Academias Aduni y César Vallejo",{"name":46,"classes":47},"Academia Grupo Ciencias",9,{"name":49,"classes":50},"CEPRE UNMSM",6,{"name":52,"classes":50},"Salón Sapiens",{"name":54,"classes":11},"Academia Internet",{"name":56,"classes":24},"Academia_Pitagoras",{"name":58,"classes":24},"Trilce Multimedia",{"name":60,"classes":33},"Ciclo Uni-San Marcos",{"name":62,"classes":33},"META VILLARREAL",{"name":64,"classes":33},"Pamer Corporación Educativa",{"name":66,"classes":33},"Saco Oliveros",[68,93],{"id":69,"courseId":5,"topicId":13,"pastExamId":70,"stem":71,"options":72,"correctKey":86,"explanation":88,"difficulty":5,"status":89,"source":90,"stats":91},1665,198,"Determine el conjunto solución $(x;\\,y)\\in\\mathbb{R}^{2}$, con $x>1$ tal que verifiquen el siguiente sistema de ecuaciones\n$(\\ln(x))\\cdot\\operatorname{sen}(y)=-1$\n$(\\ln(x))\\cdot\\cos(y)=0$",[73,76,79,82,85],{"key":74,"text":75},"A","$\\left\\{x=ke+1,k\\in\\mathbb{Z}\\wedge y=\\dfrac{3\\pi}{2}\\right\\}$",{"key":77,"text":78},"B","$\\left\\{x=2ke,k\\in\\mathbb{Z}\\wedge y=\\dfrac{11\\pi}{2}\\right\\}$",{"key":80,"text":81},"C","$\\left\\{x=ke,k\\in\\mathbb{Z}\\wedge y\\in\\left\\{\\dfrac{11\\pi}{2};\\dfrac{15\\pi}{2}\\right\\}\\right\\}$",{"key":83,"text":84},"D","$\\left\\{x=e\\wedge y=(8k-5)\\dfrac{\\pi}{2},k\\in\\mathbb{Z}\\right\\}$",{"key":86,"text":87},"E","$\\left\\{x=e\\wedge y=(4k-1)\\dfrac{\\pi}{2},k\\in\\mathbb{Z}\\right\\}$","","published","UNI 2026-1 · Matemática",{"attempts":92,"accuracy":92},0,{"id":94,"courseId":5,"topicId":13,"pastExamId":95,"stem":96,"options":97,"correctKey":86,"explanation":88,"difficulty":11,"status":89,"source":108,"stats":109},1843,201,"Determine el conjunto solución de la siguiente ecuación:\n$$3\\tan^2(x)+3\\sqrt{3}\\tan(x)=4$$",[98,100,102,104,106],{"key":74,"text":99},"$\\left\\{\\arctan\\left(-\\dfrac{4}{\\sqrt{3}}\\right)+m\\pi,\\ m\\in\\mathbb{Z}\\right\\}$",{"key":77,"text":101},"$\\left\\{\\dfrac{\\pi}{6}\\right\\}\\cup\\left\\{\\arctan\\left(-\\dfrac{4}{\\sqrt{3}}\\right)+m\\pi,\\ m\\in\\mathbb{Z}\\right\\}$",{"key":80,"text":103},"$\\left\\{\\dfrac{\\pi}{6},\\ \\arctan\\left(-\\dfrac{4}{\\sqrt{3}}\\right)\\right\\}$",{"key":83,"text":105},"$\\left\\{\\arctan\\left(-\\dfrac{4}{\\sqrt{3}}\\right)\\right\\}\\cup\\left\\{n\\pi\\pm\\dfrac{\\pi}{6},\\ n\\in\\mathbb{Z}\\right\\}$",{"key":86,"text":107},"$\\left\\{m\\pi+\\arctan\\left(-\\dfrac{4}{\\sqrt{3}}\\right),\\ m\\in\\mathbb{Z}\\right\\}\\cup\\left\\{n\\pi+\\dfrac{\\pi}{6},\\ n\\in\\mathbb{Z}\\right\\}$","UNI 2026-2 · Matemática",{"attempts":92,"accuracy":92},[],[112,113,114,115,116,117,118,119,120,121,122,123,13,124],401,402,403,404,405,406,407,408,409,410,411,412,414,1791501528042]