[{"data":1,"prerenderedAt":109},["ShallowReactive",2],{"\u002Fpublic\u002Ftopics\u002Ftrigonometria\u002Fangulos-compuestos?{}":3,"topics-with-content:trigonometria":95},{"course":4,"topic":12,"counts":17,"universities":22,"channels":30,"sampleQuestions":53,"sameName":94},{"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},408,"angulos-compuestos","Ángulos compuestos",7,{"topicId":13,"courseId":5,"questions":18,"classes":19,"videos":20,"minutes":21},2,36,33,869,[23,27],{"universityId":24,"questions":24,"years":25},1,[26],2022,{"universityId":18,"questions":24,"years":28},[29],2025,[31,34,37,39,41,43,45,47,49,51],{"name":32,"classes":33},"Alberto Cruz",11,{"name":35,"classes":36},"Academia ipluton",9,{"name":38,"classes":5},"Academia Grupo Ciencias",{"name":40,"classes":11},"Ciclo Uni-San Marcos",{"name":42,"classes":11},"Salón Sapiens",{"name":44,"classes":18},"Academias Aduni y César Vallejo",{"name":46,"classes":24},"Academia_Pitagoras",{"name":48,"classes":24},"CEPRE UNMSM",{"name":50,"classes":24},"Pamer Corporación Educativa",{"name":52,"classes":24},"Trilce Multimedia",[54,79],{"id":55,"courseId":5,"topicId":13,"pastExamId":56,"stem":57,"options":58,"correctKey":66,"explanation":74,"difficulty":5,"status":75,"source":76,"stats":77},1484,195,"Sean $a,\\ r\\in\\mathbb{R}\\setminus\\{0\\}$, tal que\n$a\\cos(72^{\\circ})+r\\operatorname{sen}(72^{\\circ})=0$\nCalcule el valor aproximado de\n$\\dfrac{a\\tan(19^{\\circ})-r}{a+r\\tan(19^{\\circ})}$",[59,62,65,68,71],{"key":60,"text":61},"A","$\\tan(18^{\\circ})$",{"key":63,"text":64},"B","$\\tan(19^{\\circ})$",{"key":66,"text":67},"C","$\\dfrac{3}{4}$",{"key":69,"text":70},"D","$\\dfrac{4}{3}$",{"key":72,"text":73},"E","$\\dfrac{24}{7}$","","published","UNI 2025-2 · Matemática",{"attempts":78,"accuracy":78},0,{"id":80,"courseId":5,"topicId":13,"pastExamId":81,"stem":82,"options":83,"correctKey":69,"explanation":74,"difficulty":5,"status":75,"source":92,"stats":93},2316,208,"Dos proyectiles serán lanzados desde un mismo punto con ángulos agudos de lanzamiento respecto a la horizontal $\\alpha^{\\circ}$ y $\\beta^{\\circ}$, siendo $\\beta>\\alpha$. Si dichos ángulos se diferencian en 15° y satisfacen la ecuación\n$$\\sqrt{3}\\operatorname{sen}\\beta^{\\circ}+\\cos\\beta^{\\circ}=\\sqrt{2}\\left(\\cos\\alpha^{\\circ}-\\operatorname{sen}\\alpha^{\\circ}\\right)\\tan\\left(85^{\\circ}\\right)$$\ncalcule el menor ángulo de lanzamiento.",[84,86,88,90],{"key":60,"text":85},"35°",{"key":63,"text":87},"45°",{"key":66,"text":89},"55°",{"key":69,"text":91},"40°","UNMSM 2022-I · Área A · Ciencias de la Salud",{"attempts":78,"accuracy":78},[],[96,97,98,99,100,101,102,13,103,104,105,106,107,108],401,402,403,404,405,406,407,409,410,411,412,413,414,1791501527921]