﻿99:@0.911172:0.510692:0.930079:0.510692:0.930079:0.494068:0.911172:0.494068:0.000000:0.000000
Tema:@0.916772:0.135475:0.952904:0.135475:0.952904:0.113749:0.916772:0.113749:0.000000:0.000000:0.000000:0.000000
M.4.2.16. Definir e identificar las relaciones trigonométricas en el triángulo rectángulo (seno, coseno, tangente) para resolver numéricamente triángulos rectángulos. :@0.130375:0.074999:0.882755:0.074999:0.882755:0.064570:0.130375:0.064570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En un triángulo rectángulo :@0.120878:0.167757:0.319249:0.167757:0.319249:0.151368:0.120878:0.151368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ABC:@0.318310:0.167757:0.346965:0.167757:0.346965:0.151395:0.318310:0.151395:0.000000:0.000000:0.000000
, las razones que se definen entre cual-:@0.346965:0.167757:0.623103:0.167757:0.623103:0.151368:0.346965:0.151368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
quiera de sus lados reciben el nombre de funciones trigonométricas,:@0.120878:0.184353:0.623123:0.184353:0.623123:0.167964:0.120878:0.167964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea el triángulo :@0.120878:0.204518:0.238647:0.204518:0.238647:0.188129:0.120878:0.188129:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ABC:@0.238647:0.204518:0.267302:0.204518:0.267302:0.188156:0.238647:0.188156:0.000000:0.000000:0.000000
 y su ángulo  ::@0.267302:0.204518:0.372450:0.204518:0.372450:0.188129:0.267302:0.188129:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q:@0.359975:0.204518:0.369244:0.204518:0.369244:0.188156:0.359975:0.188156:0.000000
Relaciones trigonométricas:@0.119762:0.141978:0.522624:0.141978:0.522624:0.101242:0.119762:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Trabaja:@0.752237:0.193175:0.803030:0.193175:0.803030:0.178063:0.752237:0.178063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 en las :@0.803030:0.193175:0.848547:0.193175:0.848547:0.178276:0.803030:0.178276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
actividades :@0.752237:0.208263:0.831124:0.208263:0.831124:0.193364:0.752237:0.193364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
presentadas en el  :@0.752237:0.223351:0.875979:0.223351:0.875979:0.208452:0.752237:0.208452:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enlace::@0.752237:0.238438:0.799010:0.238438:0.799010:0.223539:0.752237:0.223539:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
TIC:@0.691848:0.173743:0.711817:0.173743:0.711817:0.152016:0.691848:0.152016:0.000000:0.000000:0.000000
mayedu.ec/ctm9/p99:@0.691250:0.270598:0.834431:0.270598:0.834431:0.255472:0.691250:0.255472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actividad resuelta:@0.120878:0.499586:0.278000:0.499586:0.278000:0.481149:0.120878:0.481149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.120878:0.519433:0.139619:0.519433:0.139619:0.502297:0.120878:0.502297:0.000000:0.000000:0.000000
Encontremos:@0.154121:0.519433:0.255786:0.519433:0.255786:0.502808:0.154121:0.502808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las relaciones trigonométricas del ángulo  del siguiente triángulo::@0.255786:0.519433:0.744241:0.519433:0.744241:0.503044:0.255786:0.503044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.572184:0.519433:0.575501:0.519433:0.575501:0.503071:0.572184:0.503071:0.000000
8:@0.923721:0.122645:0.945955:0.122645:0.945955:0.065614:0.923721:0.065614:0.000000
Las funciones trigonométricas del ángulo  son::@0.120878:0.351668:0.468716:0.351668:0.468716:0.335279:0.120878:0.335279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.435639:0.351668:0.438956:0.351668:0.438956:0.335307:0.435639:0.335307:0.000000
Hipotenusa:@0.412870:0.262866:0.490266:0.262866:0.490266:0.247967:0.412870:0.247967:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.317868:0.320111:0.326864:0.320111:0.326864:0.305237:0.317868:0.305237:0.000000
θ:@0.453595:0.305539:0.462323:0.305539:0.462323:0.291382:0.453595:0.291382:0.000000
B:@0.319543:0.226103:0.327584:0.226103:0.327584:0.211229:0.319543:0.211229:0.000000
C:@0.498207:0.320111:0.507220:0.320111:0.507220:0.305237:0.498207:0.305237:0.000000
Cateto adyacente:@0.353148:0.321369:0.470564:0.321369:0.470564:0.306470:0.353148:0.306470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cateto opuesto:@0.211959:0.276936:0.315319:0.276936:0.315319:0.262037:0.211959:0.262037:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Función seno:@0.220687:0.382592:0.316779:0.382592:0.316779:0.367227:0.220687:0.367227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Función coseno:@0.476764:0.382592:0.589673:0.382592:0.589673:0.367227:0.476764:0.367227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Función tangente:@0.704111:0.382592:0.831679:0.382592:0.831679:0.367227:0.704111:0.367227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen :@0.133893:0.412691:0.158435:0.412691:0.158435:0.397818:0.133893:0.397818:0.000000:0.000000:0.000000:0.000000
θ:@0.158435:0.413308:0.167163:0.413308:0.167163:0.399150:0.158435:0.399150:0.000000
 = :@0.167163:0.412691:0.184485:0.412691:0.184485:0.397792:0.167163:0.397792:0.000000:0.000000:0.000000
 Cateto opuesto :@0.184472:0.405355:0.295170:0.405355:0.295170:0.390456:0.184472:0.390456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     hipotenusa:@0.184472:0.421486:0.278384:0.421486:0.278384:0.406587:0.184472:0.406587:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cos :@0.421719:0.411428:0.445725:0.411428:0.445725:0.396554:0.421719:0.396554:0.000000:0.000000:0.000000:0.000000
θ:@0.445725:0.412044:0.454453:0.412044:0.454453:0.397887:0.445725:0.397887:0.000000
 = :@0.454453:0.411428:0.471775:0.411428:0.471775:0.396529:0.454453:0.396529:0.000000:0.000000:0.000000
 Cateto adyacente :@0.471768:0.405355:0.596522:0.405355:0.596522:0.390456:0.471768:0.390456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     hipotenusa:@0.471768:0.421486:0.565681:0.421486:0.565681:0.406587:0.471768:0.406587:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tan :@0.661456:0.411428:0.686434:0.411428:0.686434:0.396554:0.661456:0.396554:0.000000:0.000000:0.000000:0.000000
θ:@0.686434:0.412044:0.695162:0.412044:0.695162:0.397887:0.686434:0.397887:0.000000
 = :@0.695162:0.411428:0.712484:0.411428:0.712484:0.396529:0.695162:0.396529:0.000000:0.000000:0.000000
   Cateto opuesto  :@0.712482:0.405355:0.834186:0.405355:0.834186:0.390456:0.712482:0.390456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cateto adyacente:@0.712482:0.421486:0.829898:0.421486:0.829898:0.406587:0.712482:0.406587:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen :@0.133871:0.449097:0.158413:0.449097:0.158413:0.434223:0.133871:0.434223:0.000000:0.000000:0.000000:0.000000
θ:@0.158413:0.449713:0.167141:0.449713:0.167141:0.435555:0.158413:0.435555:0.000000
 = :@0.167141:0.449097:0.184463:0.449097:0.184463:0.434198:0.167141:0.434198:0.000000:0.000000:0.000000
 :@0.184472:0.443029:0.188140:0.443029:0.188140:0.428130:0.184472:0.428130:0.000000
AB:@0.188140:0.443029:0.205177:0.443029:0.205177:0.428155:0.188140:0.428155:0.000000:0.000000
 :@0.205177:0.443029:0.208846:0.443029:0.208846:0.428130:0.205177:0.428130:0.000000
 :@0.184472:0.457903:0.188140:0.457903:0.188140:0.443004:0.184472:0.443004:0.000000
BC:@0.188140:0.457903:0.205194:0.457903:0.205194:0.443029:0.188140:0.443029:0.000000:0.000000
cos :@0.421712:0.449107:0.445718:0.449107:0.445718:0.434233:0.421712:0.434233:0.000000:0.000000:0.000000:0.000000
θ:@0.445718:0.449723:0.454446:0.449723:0.454446:0.435566:0.445718:0.435566:0.000000
 = :@0.454446:0.449107:0.471768:0.449107:0.471768:0.434208:0.454446:0.434208:0.000000:0.000000:0.000000
 :@0.471768:0.443029:0.475437:0.443029:0.475437:0.428130:0.471768:0.428130:0.000000
AC:@0.475437:0.443029:0.493161:0.443029:0.493161:0.428155:0.475437:0.428155:0.000000:0.000000
 :@0.493161:0.443029:0.496830:0.443029:0.496830:0.428130:0.493161:0.428130:0.000000
 :@0.471768:0.457903:0.475437:0.457903:0.475437:0.443004:0.471768:0.443004:0.000000
BC:@0.475437:0.457903:0.492491:0.457903:0.492491:0.443029:0.475437:0.443029:0.000000:0.000000
tan :@0.661456:0.449107:0.686434:0.449107:0.686434:0.434233:0.661456:0.434233:0.000000:0.000000:0.000000:0.000000
θ:@0.686434:0.449723:0.695162:0.449723:0.695162:0.435566:0.686434:0.435566:0.000000
 = :@0.695162:0.449107:0.712484:0.449107:0.712484:0.434208:0.695162:0.434208:0.000000:0.000000:0.000000
 :@0.712482:0.443029:0.716151:0.443029:0.716151:0.428130:0.712482:0.428130:0.000000
AB:@0.716151:0.443029:0.733188:0.443029:0.733188:0.428155:0.716151:0.428155:0.000000:0.000000
 :@0.733188:0.443029:0.736857:0.443029:0.736857:0.428130:0.733188:0.428130:0.000000
 :@0.712482:0.457903:0.716151:0.457903:0.716151:0.443004:0.712482:0.443004:0.000000
AC:@0.716151:0.457903:0.733875:0.457903:0.733875:0.443029:0.716151:0.443029:0.000000:0.000000
2. :@0.120878:0.685014:0.139619:0.685014:0.139619:0.667878:0.120878:0.667878:0.000000:0.000000:0.000000
Determinemos:@0.154121:0.685014:0.268944:0.685014:0.268944:0.668390:0.154121:0.668390:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las funciones trigonométricas principales, si el seno del ángulo  es igual a :@0.268944:0.685014:0.818153:0.685014:0.818153:0.668625:0.268944:0.668625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.730157:0.684700:0.733173:0.684700:0.733173:0.669826:0.730157:0.669826:0.000000
θ:@0.733173:0.685316:0.741901:0.685316:0.741901:0.671159:0.733173:0.671159:0.000000
  5  :@0.818151:0.674743:0.843286:0.674743:0.843286:0.658354:0.818151:0.658354:0.000000:0.000000:0.000000:0.000000:0.000000
 13:@0.818151:0.693400:0.840172:0.693400:0.840172:0.677011:0.818151:0.677011:0.000000:0.000000:0.000000
.:@0.845461:0.685019:0.848667:0.685019:0.848667:0.668630:0.845461:0.668630:0.000000
A:@0.205342:0.645530:0.214338:0.645530:0.214338:0.630656:0.205342:0.630656:0.000000
8 cm:@0.282419:0.645530:0.315455:0.645530:0.315455:0.630631:0.282419:0.630631:0.000000:0.000000:0.000000:0.000000
10 cm:@0.301735:0.582074:0.342946:0.582074:0.342946:0.567175:0.301735:0.567175:0.000000:0.000000:0.000000:0.000000:0.000000
6 cm:@0.173830:0.598356:0.206866:0.598356:0.206866:0.583457:0.173830:0.583457:0.000000:0.000000:0.000000:0.000000
θ:@0.352059:0.629449:0.360787:0.629449:0.360787:0.615292:0.352059:0.615292:0.000000
B:@0.209329:0.541777:0.217370:0.541777:0.217370:0.526903:0.209329:0.526903:0.000000
C:@0.391008:0.645530:0.400021:0.645530:0.400021:0.630656:0.391008:0.630656:0.000000
sen:@0.562920:0.571500:0.586599:0.571500:0.586599:0.555139:0.562920:0.555139:0.000000:0.000000:0.000000
 :@0.586599:0.571186:0.589615:0.571186:0.589615:0.556312:0.586599:0.556312:0.000000
θ:@0.589615:0.571802:0.598343:0.571802:0.598343:0.557644:0.589615:0.557644:0.000000
 = :@0.598343:0.571500:0.617397:0.571500:0.617397:0.555111:0.598343:0.555111:0.000000:0.000000:0.000000
c.o.:@0.617395:0.565107:0.638302:0.565107:0.638302:0.550233:0.617395:0.550233:0.000000:0.000000:0.000000:0.000000
 :@0.617395:0.579980:0.621064:0.579980:0.621064:0.565081:0.617395:0.565081:0.000000
 h.:@0.621064:0.579980:0.635756:0.579980:0.635756:0.565107:0.621064:0.565107:0.000000:0.000000:0.000000
 = :@0.639834:0.571500:0.658888:0.571500:0.658888:0.555111:0.639834:0.555111:0.000000:0.000000:0.000000
 6 :@0.658888:0.565107:0.674400:0.565107:0.674400:0.550207:0.658888:0.550207:0.000000:0.000000:0.000000
10:@0.658888:0.579980:0.675238:0.579980:0.675238:0.565081:0.658888:0.565081:0.000000:0.000000
 :@0.675238:0.579980:0.678253:0.579980:0.678253:0.565107:0.675238:0.565107:0.000000
 = :@0.680465:0.571500:0.699519:0.571500:0.699519:0.555111:0.680465:0.555111:0.000000:0.000000:0.000000
 3 :@0.699517:0.565107:0.715030:0.565107:0.715030:0.550207:0.699517:0.550207:0.000000:0.000000:0.000000
 5:@0.699517:0.579980:0.711361:0.579980:0.711361:0.565081:0.699517:0.565081:0.000000:0.000000
 :@0.711361:0.579980:0.714377:0.579980:0.714377:0.565107:0.711361:0.565107:0.000000
cos:@0.562920:0.604942:0.586010:0.604942:0.586010:0.588580:0.562920:0.588580:0.000000:0.000000:0.000000
 :@0.586010:0.604627:0.589025:0.604627:0.589025:0.589753:0.586010:0.589753:0.000000
θ:@0.589025:0.605243:0.597753:0.605243:0.597753:0.591086:0.589025:0.591086:0.000000
 = :@0.597753:0.604942:0.616807:0.604942:0.616807:0.588553:0.597753:0.588553:0.000000:0.000000:0.000000
c.a.:@0.616807:0.598548:0.638100:0.598548:0.638100:0.583674:0.616807:0.583674:0.000000:0.000000:0.000000:0.000000
 :@0.616807:0.613422:0.620476:0.613422:0.620476:0.598523:0.616807:0.598523:0.000000
 h.:@0.620476:0.613422:0.635168:0.613422:0.635168:0.598548:0.620476:0.598548:0.000000:0.000000:0.000000
 = :@0.639246:0.604942:0.658300:0.604942:0.658300:0.588553:0.639246:0.588553:0.000000:0.000000:0.000000
 8 :@0.658298:0.598548:0.673811:0.598548:0.673811:0.583649:0.658298:0.583649:0.000000:0.000000:0.000000
10:@0.658298:0.613422:0.674648:0.613422:0.674648:0.598523:0.658298:0.598523:0.000000:0.000000
 :@0.674648:0.613422:0.677664:0.613422:0.677664:0.598548:0.674648:0.598548:0.000000
 = :@0.679875:0.604942:0.698929:0.604942:0.698929:0.588553:0.679875:0.588553:0.000000:0.000000:0.000000
 4 :@0.698929:0.598548:0.714442:0.598548:0.714442:0.583649:0.698929:0.583649:0.000000:0.000000:0.000000
 5:@0.698929:0.613422:0.710773:0.613422:0.710773:0.598523:0.698929:0.598523:0.000000:0.000000
 :@0.710773:0.613422:0.713789:0.613422:0.713789:0.598548:0.710773:0.598548:0.000000
tan:@0.562920:0.638385:0.587079:0.638385:0.587079:0.622023:0.562920:0.622023:0.000000:0.000000:0.000000
 :@0.587079:0.638070:0.590094:0.638070:0.590094:0.623196:0.587079:0.623196:0.000000
θ:@0.590094:0.638686:0.598822:0.638686:0.598822:0.624529:0.590094:0.624529:0.000000
 = :@0.598822:0.638385:0.617876:0.638385:0.617876:0.621996:0.598822:0.621996:0.000000:0.000000:0.000000
c.o.:@0.617876:0.631991:0.638783:0.631991:0.638783:0.617117:0.617876:0.617117:0.000000:0.000000:0.000000:0.000000
c.a.:@0.617876:0.646865:0.639168:0.646865:0.639168:0.631991:0.617876:0.631991:0.000000:0.000000:0.000000:0.000000
 = :@0.640313:0.638385:0.659367:0.638385:0.659367:0.621996:0.640313:0.621996:0.000000:0.000000:0.000000
 6 :@0.659367:0.631991:0.674880:0.631991:0.674880:0.617092:0.659367:0.617092:0.000000:0.000000:0.000000
 8:@0.659367:0.646865:0.671211:0.646865:0.671211:0.631966:0.659367:0.631966:0.000000:0.000000
 :@0.671211:0.646865:0.674226:0.646865:0.674226:0.631991:0.671211:0.631991:0.000000
 = :@0.680944:0.638385:0.699998:0.638385:0.699998:0.621996:0.680944:0.621996:0.000000:0.000000:0.000000
 3 :@0.699996:0.631991:0.715509:0.631991:0.715509:0.617092:0.699996:0.617092:0.000000:0.000000:0.000000
 4:@0.699996:0.646865:0.711840:0.646865:0.711840:0.631966:0.699996:0.631966:0.000000:0.000000
 :@0.711840:0.646865:0.714856:0.646865:0.714856:0.631991:0.711840:0.631991:0.000000
Solución:@0.562920:0.541794:0.632134:0.541794:0.632134:0.524893:0.562920:0.524893:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Identificamos:@0.165215:0.725440:0.269368:0.725440:0.269368:0.708816:0.165215:0.708816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la función seno y la :@0.269368:0.725440:0.417968:0.725440:0.417968:0.709051:0.269368:0.709051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
relacionamos:@0.165215:0.742036:0.268096:0.742036:0.268096:0.725412:0.165215:0.725412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 con los lados del triángulo.:@0.268096:0.742036:0.468346:0.742036:0.468346:0.725647:0.268096:0.725647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen :@0.491913:0.729984:0.516455:0.729984:0.516455:0.715110:0.491913:0.715110:0.000000:0.000000:0.000000:0.000000
θ:@0.516455:0.730600:0.525183:0.730600:0.525183:0.716443:0.516455:0.716443:0.000000
 = :@0.525183:0.729984:0.542505:0.729984:0.542505:0.715085:0.525183:0.715085:0.000000:0.000000:0.000000
c.o.:@0.542505:0.723906:0.563412:0.723906:0.563412:0.709032:0.542505:0.709032:0.000000:0.000000:0.000000:0.000000
 :@0.542505:0.738780:0.546174:0.738780:0.546174:0.723881:0.542505:0.723881:0.000000
 h.:@0.546174:0.738780:0.560866:0.738780:0.560866:0.723906:0.546174:0.723906:0.000000:0.000000:0.000000
 = :@0.564944:0.729984:0.582266:0.729984:0.582266:0.715085:0.564944:0.715085:0.000000:0.000000:0.000000
 5 :@0.582264:0.723906:0.597777:0.723906:0.597777:0.709007:0.582264:0.709007:0.000000:0.000000:0.000000
13:@0.582264:0.738780:0.598614:0.738780:0.598614:0.723881:0.582264:0.723881:0.000000:0.000000
 :@0.598614:0.738780:0.601630:0.738780:0.601630:0.723906:0.598614:0.723906:0.000000
;   :@0.603841:0.729984:0.617762:0.729984:0.617762:0.715085:0.603841:0.715085:0.000000:0.000000:0.000000:0.000000
c.o.:@0.617762:0.729984:0.638669:0.729984:0.638669:0.715110:0.617762:0.715110:0.000000:0.000000:0.000000:0.000000
 = 5 cm;     = 13 cm:@0.638669:0.729984:0.770125:0.729984:0.770125:0.715085:0.638669:0.715085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.702948:0.729984:0.711592:0.729984:0.711592:0.715110:0.702948:0.715110:0.000000
Calculamos:@0.165213:0.784626:0.245407:0.784626:0.245407:0.769513:0.165213:0.769513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el lado faltante.:@0.245407:0.784626:0.350525:0.784626:0.350525:0.769727:0.245407:0.769727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c.a.:@0.491918:0.784475:0.513211:0.784475:0.513211:0.769601:0.491918:0.769601:0.000000:0.000000:0.000000:0.000000
 :@0.513211:0.784475:0.516879:0.784475:0.516879:0.769576:0.513211:0.769576:0.000000
√132 – 52 = √169 – 25 = √144 = 12 cm:@0.516874:0.784796:0.793528:0.784796:0.793528:0.768407:0.516874:0.768407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dibujamos:@0.165215:0.850925:0.248581:0.850925:0.248581:0.834301:0.165215:0.834301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el triángulo con sus lados  :@0.248581:0.850925:0.446955:0.850925:0.446955:0.834536:0.248581:0.834536:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y ángulo referido y :@0.165215:0.867521:0.306240:0.867521:0.306240:0.851132:0.165215:0.851132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hallamos:@0.306240:0.867521:0.375712:0.867521:0.375712:0.850897:0.306240:0.850897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las demás :@0.375712:0.867521:0.456259:0.867521:0.456259:0.851132:0.375712:0.851132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funciones trigonométricas.:@0.165215:0.884118:0.361521:0.884118:0.361521:0.867729:0.165215:0.867729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.515097:0.900150:0.524093:0.900150:0.524093:0.885276:0.515097:0.885276:0.000000
12 cm:@0.558938:0.907781:0.600149:0.907781:0.600149:0.892882:0.558938:0.892882:0.000000:0.000000:0.000000:0.000000:0.000000
13 cm:@0.581503:0.858960:0.622714:0.858960:0.622714:0.844061:0.581503:0.844061:0.000000:0.000000:0.000000:0.000000:0.000000
5 cm:@0.494709:0.868629:0.527745:0.868629:0.527745:0.853730:0.494709:0.853730:0.000000:0.000000:0.000000:0.000000
θ:@0.604471:0.893788:0.613199:0.893788:0.613199:0.879630:0.604471:0.879630:0.000000
B:@0.516806:0.824359:0.524847:0.824359:0.524847:0.809486:0.516806:0.809486:0.000000
C:@0.634156:0.900150:0.643169:0.900150:0.643169:0.885276:0.634156:0.885276:0.000000
sen :@0.698792:0.829575:0.723334:0.829575:0.723334:0.814701:0.698792:0.814701:0.000000:0.000000:0.000000:0.000000
θ:@0.723334:0.830191:0.732062:0.830191:0.732062:0.816034:0.723334:0.816034:0.000000
 = :@0.732062:0.829575:0.749384:0.829575:0.749384:0.814676:0.732062:0.814676:0.000000:0.000000:0.000000
c.o.:@0.749384:0.823497:0.770291:0.823497:0.770291:0.808623:0.749384:0.808623:0.000000:0.000000:0.000000:0.000000
 :@0.749384:0.838371:0.753053:0.838371:0.753053:0.823472:0.749384:0.823472:0.000000
 h.:@0.753053:0.838371:0.767745:0.838371:0.767745:0.823497:0.753053:0.823497:0.000000:0.000000:0.000000
 = :@0.771822:0.829575:0.789144:0.829575:0.789144:0.814676:0.771822:0.814676:0.000000:0.000000:0.000000
 5 :@0.789144:0.823497:0.804657:0.823497:0.804657:0.808598:0.789144:0.808598:0.000000:0.000000:0.000000
13:@0.789144:0.838371:0.805495:0.838371:0.805495:0.823472:0.789144:0.823472:0.000000:0.000000
 :@0.805495:0.838371:0.808510:0.838371:0.808510:0.823497:0.805495:0.823497:0.000000
cos :@0.698792:0.863621:0.722798:0.863621:0.722798:0.848747:0.698792:0.848747:0.000000:0.000000:0.000000:0.000000
θ:@0.722798:0.864237:0.731526:0.864237:0.731526:0.850080:0.722798:0.850080:0.000000
 = :@0.731526:0.863621:0.748848:0.863621:0.748848:0.848722:0.731526:0.848722:0.000000:0.000000:0.000000
c.a.:@0.748848:0.857542:0.770140:0.857542:0.770140:0.842668:0.748848:0.842668:0.000000:0.000000:0.000000:0.000000
 :@0.748848:0.872416:0.752517:0.872416:0.752517:0.857517:0.748848:0.857517:0.000000
 h.:@0.752517:0.872416:0.767209:0.872416:0.767209:0.857542:0.752517:0.857542:0.000000:0.000000:0.000000
 = :@0.771286:0.863621:0.788608:0.863621:0.788608:0.848722:0.771286:0.848722:0.000000:0.000000:0.000000
12:@0.788608:0.857542:0.804959:0.857542:0.804959:0.842643:0.788608:0.842643:0.000000:0.000000
13:@0.788608:0.872416:0.804959:0.872416:0.804959:0.857517:0.788608:0.857517:0.000000:0.000000
 :@0.804959:0.872416:0.807974:0.872416:0.807974:0.857542:0.804959:0.857542:0.000000
tan :@0.698792:0.897668:0.723770:0.897668:0.723770:0.882794:0.698792:0.882794:0.000000:0.000000:0.000000:0.000000
θ:@0.723770:0.898284:0.732498:0.898284:0.732498:0.884127:0.723770:0.884127:0.000000
 = :@0.732498:0.897668:0.749820:0.897668:0.749820:0.882769:0.732498:0.882769:0.000000:0.000000:0.000000
c.o.:@0.749820:0.891589:0.770727:0.891589:0.770727:0.876715:0.749820:0.876715:0.000000:0.000000:0.000000:0.000000
c.a.:@0.749820:0.906462:0.771112:0.906462:0.771112:0.891589:0.749820:0.891589:0.000000:0.000000:0.000000:0.000000
 = :@0.772258:0.897668:0.789580:0.897668:0.789580:0.882769:0.772258:0.882769:0.000000:0.000000:0.000000
 5 :@0.789580:0.891589:0.805093:0.891589:0.805093:0.876690:0.789580:0.876690:0.000000:0.000000:0.000000
12:@0.789580:0.906462:0.805930:0.906462:0.805930:0.891563:0.789580:0.891563:0.000000:0.000000
 :@0.805930:0.906462:0.808946:0.906462:0.808946:0.891589:0.805930:0.891589:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
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