108:@0.054057:0.510692:0.082417:0.510692:0.082417:0.494068:0.054057:0.494068:0.000000:0.000000:0.000000
Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000
C:@0.336166:0.332272:0.345179:0.332272:0.345179:0.317398:0.336166:0.317398:0.000000
B:@0.336652:0.217418:0.344693:0.217418:0.344693:0.202544:0.336652:0.202544:0.000000
A:@0.127716:0.330575:0.136712:0.330575:0.136712:0.315701:0.127716:0.315701:0.000000
c:@0.225416:0.273996:0.232385:0.273996:0.232385:0.259122:0.225416:0.259122:0.000000
a:@0.342432:0.278208:0.350858:0.278208:0.350858:0.263334:0.342432:0.263334:0.000000
b:@0.233541:0.332687:0.241967:0.332687:0.241967:0.317813:0.233541:0.317813:0.000000
cos:@0.383108:0.276162:0.406198:0.276162:0.406198:0.259801:0.383108:0.259801:0.000000:0.000000:0.000000
( ) = :@0.406198:0.276162:0.446647:0.276162:0.446647:0.259773:0.406198:0.259773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.411081:0.276840:0.422709:0.276840:0.422709:0.261267:0.411081:0.261267:0.000000
cateto adyacente:@0.446643:0.267777:0.573589:0.267777:0.573589:0.251389:0.446643:0.251389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hipotenusa:@0.470949:0.288730:0.554076:0.288730:0.554076:0.272341:0.470949:0.272341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 = :@0.578382:0.276159:0.597437:0.276159:0.597437:0.259770:0.578382:0.259770:0.000000:0.000000:0.000000
   :@0.600164:0.267777:0.617504:0.267777:0.617504:0.251389:0.600164:0.251389:0.000000:0.000000:0.000000
b:@0.604199:0.267777:0.613469:0.267777:0.613469:0.251416:0.604199:0.251416:0.000000
 :@0.600956:0.288730:0.604992:0.288730:0.604992:0.272341:0.600956:0.272341:0.000000
c:@0.604992:0.288730:0.612658:0.288730:0.612658:0.272369:0.604992:0.272369:0.000000
tan:@0.383105:0.321425:0.407263:0.321425:0.407263:0.305064:0.383105:0.305064:0.000000:0.000000:0.000000
( ) = :@0.407263:0.321425:0.447712:0.321425:0.447712:0.305036:0.407263:0.305036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.412147:0.322103:0.423774:0.322103:0.423774:0.306530:0.412147:0.306530:0.000000
  cateto opuesto  :@0.447712:0.313040:0.575014:0.313040:0.575014:0.296651:0.447712:0.296651:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cateto adyacente:@0.447712:0.333993:0.574658:0.333993:0.574658:0.317604:0.447712:0.317604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 = :@0.578401:0.321421:0.597455:0.321421:0.597455:0.305033:0.578401:0.305033:0.000000:0.000000:0.000000
   :@0.600164:0.313040:0.617504:0.313040:0.617504:0.296651:0.600164:0.296651:0.000000:0.000000:0.000000
a:@0.604199:0.313040:0.613469:0.313040:0.613469:0.296679:0.604199:0.296679:0.000000
 :@0.600164:0.333993:0.604199:0.333993:0.604199:0.317604:0.600164:0.317604:0.000000
b:@0.604199:0.333993:0.613469:0.333993:0.613469:0.317632:0.604199:0.317632:0.000000
sen:@0.383105:0.230888:0.406784:0.230888:0.406784:0.214527:0.383105:0.214527:0.000000:0.000000:0.000000
( ) = :@0.406784:0.230888:0.447233:0.230888:0.447233:0.214499:0.406784:0.214499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.411668:0.231566:0.423295:0.231566:0.423295:0.215993:0.411668:0.215993:0.000000
cateto opuesto:@0.447233:0.222515:0.558718:0.222515:0.558718:0.206126:0.447233:0.206126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hipotenusa:@0.463707:0.243468:0.546834:0.243468:0.546834:0.227079:0.463707:0.227079:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 = :@0.563309:0.230896:0.582363:0.230896:0.582363:0.214507:0.563309:0.214507:0.000000:0.000000:0.000000
   :@0.585087:0.222515:0.602427:0.222515:0.602427:0.206126:0.585087:0.206126:0.000000:0.000000:0.000000
a:@0.589122:0.222515:0.598391:0.222515:0.598391:0.206153:0.589122:0.206153:0.000000
 :@0.585879:0.243468:0.589915:0.243468:0.589915:0.227079:0.585879:0.227079:0.000000
c:@0.589915:0.243468:0.597581:0.243468:0.597581:0.227106:0.589915:0.227106:0.000000
sec:@0.632298:0.272484:0.654135:0.272484:0.654135:0.256122:0.632298:0.256122:0.000000:0.000000:0.000000
( ) = :@0.654135:0.272484:0.694584:0.272484:0.694584:0.256095:0.654135:0.256095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.659018:0.273161:0.670646:0.273161:0.670646:0.257588:0.659018:0.257588:0.000000
    hipotenusa    :@0.694580:0.264104:0.809993:0.264104:0.809993:0.247715:0.694580:0.247715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cateto adyacente:@0.694580:0.285057:0.821526:0.285057:0.821526:0.268668:0.694580:0.268668:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 = :@0.825656:0.272485:0.844710:0.272485:0.844710:0.256096:0.825656:0.256096:0.000000:0.000000:0.000000
   :@0.848218:0.264104:0.863955:0.264104:0.863955:0.247715:0.848218:0.247715:0.000000:0.000000:0.000000
c:@0.852254:0.264104:0.859920:0.264104:0.859920:0.247742:0.852254:0.247742:0.000000
 :@0.847426:0.285057:0.851462:0.285057:0.851462:0.268668:0.847426:0.268668:0.000000
b:@0.851462:0.285057:0.860731:0.285057:0.860731:0.268695:0.851462:0.268695:0.000000
ctg:@0.632302:0.317751:0.654562:0.317751:0.654562:0.301390:0.632302:0.301390:0.000000:0.000000:0.000000
( ) = :@0.654562:0.317751:0.695011:0.317751:0.695011:0.301362:0.654562:0.301362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.659446:0.318429:0.671073:0.318429:0.671073:0.302856:0.659446:0.302856:0.000000
cateto adyacente  :@0.695004:0.309366:0.826594:0.309366:0.826594:0.292978:0.695004:0.292978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  cateto opuesto:@0.695004:0.330319:0.814561:0.330319:0.814561:0.313930:0.695004:0.313930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 = :@0.823758:0.317748:0.842812:0.317748:0.842812:0.301359:0.823758:0.301359:0.000000:0.000000:0.000000
   :@0.845516:0.309366:0.862857:0.309366:0.862857:0.292978:0.845516:0.292978:0.000000:0.000000:0.000000
b:@0.849552:0.309366:0.858821:0.309366:0.858821:0.293005:0.849552:0.293005:0.000000
 :@0.845516:0.330319:0.849552:0.330319:0.849552:0.313930:0.845516:0.313930:0.000000
a:@0.849552:0.330319:0.858821:0.330319:0.858821:0.313958:0.849552:0.313958:0.000000
csc:@0.632290:0.227214:0.653998:0.227214:0.653998:0.210853:0.632290:0.210853:0.000000:0.000000:0.000000
( ) = :@0.653998:0.227214:0.694446:0.227214:0.694446:0.210825:0.653998:0.210825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.658881:0.227892:0.670509:0.227892:0.670509:0.212319:0.658881:0.212319:0.000000
    hipotenusa    :@0.694451:0.218841:0.806657:0.218841:0.806657:0.202452:0.694451:0.202452:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cateto opuesto:@0.695760:0.239794:0.807245:0.239794:0.807245:0.223405:0.695760:0.223405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 = :@0.808555:0.227222:0.827609:0.227222:0.827609:0.210833:0.808555:0.210833:0.000000:0.000000:0.000000
   :@0.831122:0.218841:0.846860:0.218841:0.846860:0.202452:0.831122:0.202452:0.000000:0.000000:0.000000
c:@0.835158:0.218841:0.842824:0.218841:0.842824:0.202480:0.835158:0.202480:0.000000
 :@0.830330:0.239794:0.834366:0.239794:0.834366:0.223405:0.830330:0.223405:0.000000
a:@0.834366:0.239794:0.843635:0.239794:0.843635:0.223432:0.834366:0.223432:0.000000
Actividad resuelta:@0.115354:0.554827:0.272476:0.554827:0.272476:0.536390:0.115354:0.536390:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a)  :@0.115354:0.574672:0.137891:0.574672:0.137891:0.557771:0.115354:0.557771:0.000000:0.000000:0.000000:0.000000
Empleamos:@0.148597:0.574672:0.238764:0.574672:0.238764:0.558048:0.148597:0.558048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los triángulos notables para encontrar el valor de las funciones trigonométricas :@0.238764:0.574672:0.883989:0.574672:0.883989:0.558283:0.238764:0.558283:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.879898:0.574672:0.883934:0.574672:0.883934:0.558283:0.879898:0.558283:0.000000
y :@0.148597:0.591268:0.160741:0.591268:0.160741:0.574880:0.148597:0.574880:0.000000:0.000000
completamos:@0.160741:0.591268:0.266203:0.591268:0.266203:0.574644:0.160741:0.574644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la tabla.:@0.266203:0.591268:0.326258:0.591268:0.326258:0.574880:0.266203:0.574880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.115354:0.768283:0.119169:0.768283:0.119169:0.751382:0.115354:0.751382:0.000000
a:@0.195905:0.621122:0.206476:0.621122:0.206476:0.606965:0.195905:0.606965:0.000000
sen( ):@0.282615:0.620807:0.328484:0.620807:0.328484:0.605443:0.282615:0.605443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.312870:0.621424:0.323441:0.621424:0.323441:0.607266:0.312870:0.607266:0.000000
cos( ):@0.387670:0.620807:0.432131:0.620807:0.432131:0.605443:0.387670:0.605443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.416517:0.621424:0.427088:0.621424:0.427088:0.607266:0.416517:0.607266:0.000000
tan( ):@0.491937:0.620807:0.536565:0.620807:0.536565:0.605443:0.491937:0.605443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.520952:0.621424:0.531523:0.621424:0.531523:0.607266:0.520952:0.607266:0.000000
csc( ):@0.597259:0.620807:0.639944:0.620807:0.639944:0.605443:0.597259:0.605443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.624331:0.621424:0.634902:0.621424:0.634902:0.607266:0.624331:0.607266:0.000000
sec( ):@0.701057:0.620807:0.744864:0.620807:0.744864:0.605443:0.701057:0.605443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.729251:0.621424:0.739822:0.621424:0.739822:0.607266:0.729251:0.607266:0.000000
ctg( ):@0.805408:0.620807:0.849215:0.620807:0.849215:0.605443:0.805408:0.605443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.833602:0.621424:0.844173:0.621424:0.844173:0.607266:0.833602:0.607266:0.000000
30°:@0.190561:0.649109:0.211837:0.649109:0.211837:0.634210:0.190561:0.634210:0.000000:0.000000:0.000000
1/2:@0.294443:0.649109:0.316673:0.649109:0.316673:0.634210:0.294443:0.634210:0.000000:0.000000:0.000000
√3:@0.397939:0.642546:0.416417:0.642546:0.416417:0.627647:0.397939:0.627647:0.000000:0.000000
2:@0.405806:0.657424:0.413981:0.657424:0.413981:0.642525:0.405806:0.642525:0.000000
√3:@0.502280:0.642549:0.520757:0.642549:0.520757:0.627650:0.502280:0.627650:0.000000:0.000000
3:@0.510158:0.657424:0.518333:0.657424:0.518333:0.642525:0.510158:0.642525:0.000000
2:@0.614511:0.649113:0.622686:0.649113:0.622686:0.634214:0.614511:0.634214:0.000000
2√3:@0.707151:0.642550:0.734977:0.642550:0.734977:0.627651:0.707151:0.627651:0.000000:0.000000:0.000000
3:@0.718895:0.657424:0.727070:0.657424:0.727070:0.642525:0.718895:0.642525:0.000000
√3:@0.815337:0.649543:0.833815:0.649543:0.833815:0.634644:0.815337:0.634644:0.000000:0.000000
45°:@0.190553:0.682080:0.211828:0.682080:0.211828:0.667180:0.190553:0.667180:0.000000:0.000000:0.000000
√2:@0.293580:0.675516:0.312058:0.675516:0.312058:0.660617:0.293580:0.660617:0.000000:0.000000
2:@0.301454:0.690390:0.309629:0.690390:0.309629:0.675491:0.301454:0.675491:0.000000
√2:@0.397929:0.675516:0.416407:0.675516:0.416407:0.660617:0.397929:0.660617:0.000000:0.000000
2:@0.405806:0.690390:0.413981:0.690390:0.413981:0.675491:0.405806:0.675491:0.000000
1:@0.510158:0.682080:0.518333:0.682080:0.518333:0.667180:0.510158:0.667180:0.000000
√2:@0.606635:0.682507:0.625113:0.682507:0.625113:0.667608:0.606635:0.667608:0.000000:0.000000
√2:@0.710984:0.682509:0.729462:0.682509:0.729462:0.667610:0.710984:0.667610:0.000000:0.000000
1:@0.823214:0.682080:0.831389:0.682080:0.831389:0.667180:0.823214:0.667180:0.000000
60°:@0.190559:0.714518:0.211835:0.714518:0.211835:0.699619:0.190559:0.699619:0.000000:0.000000:0.000000
√3:@0.293587:0.707955:0.312064:0.707955:0.312064:0.693056:0.293587:0.693056:0.000000:0.000000
2:@0.301454:0.722824:0.309629:0.722824:0.309629:0.707925:0.301454:0.707925:0.000000
1/2:@0.398778:0.714513:0.421009:0.714513:0.421009:0.699614:0.398778:0.699614:0.000000:0.000000:0.000000
√3:@0.502275:0.714940:0.520752:0.714940:0.520752:0.700041:0.502275:0.700041:0.000000:0.000000
2√3:@0.602794:0.707948:0.630620:0.707948:0.630620:0.693049:0.602794:0.693049:0.000000:0.000000:0.000000
3:@0.614542:0.722824:0.622718:0.722824:0.622718:0.707925:0.614542:0.707925:0.000000
2:@0.718861:0.714513:0.727036:0.714513:0.727036:0.699614:0.718861:0.699614:0.000000
√3:@0.815338:0.707950:0.833816:0.707950:0.833816:0.693051:0.815338:0.693051:0.000000:0.000000
3:@0.823214:0.722824:0.831389:0.722824:0.831389:0.707925:0.823214:0.707925:0.000000
37°:@0.190553:0.741273:0.211828:0.741273:0.211828:0.726374:0.190553:0.726374:0.000000:0.000000:0.000000
3/5:@0.294434:0.741273:0.316665:0.741273:0.316665:0.726374:0.294434:0.726374:0.000000:0.000000:0.000000
4/5:@0.398785:0.741273:0.421015:0.741273:0.421015:0.726374:0.398785:0.726374:0.000000:0.000000:0.000000
3/4:@0.503136:0.741273:0.525366:0.741273:0.525366:0.726374:0.503136:0.726374:0.000000:0.000000:0.000000
5/3:@0.607486:0.741273:0.629717:0.741273:0.629717:0.726374:0.607486:0.726374:0.000000:0.000000:0.000000
5/4:@0.711837:0.741273:0.734067:0.741273:0.734067:0.726374:0.711837:0.726374:0.000000:0.000000:0.000000
4/3:@0.816188:0.741273:0.838418:0.741273:0.838418:0.726374:0.816188:0.726374:0.000000:0.000000:0.000000
53°:@0.190553:0.762006:0.211828:0.762006:0.211828:0.747107:0.190553:0.747107:0.000000:0.000000:0.000000
4/5:@0.294434:0.762006:0.316665:0.762006:0.316665:0.747107:0.294434:0.747107:0.000000:0.000000:0.000000
3/5:@0.398785:0.762006:0.421015:0.762006:0.421015:0.747107:0.398785:0.747107:0.000000:0.000000:0.000000
4/3:@0.503136:0.762006:0.525366:0.762006:0.525366:0.747107:0.503136:0.747107:0.000000:0.000000:0.000000
5/4:@0.607486:0.762006:0.629717:0.762006:0.629717:0.747107:0.607486:0.747107:0.000000:0.000000:0.000000
5/3:@0.711837:0.762006:0.734067:0.762006:0.734067:0.747107:0.711837:0.747107:0.000000:0.000000:0.000000
3/4:@0.816188:0.762006:0.838418:0.762006:0.838418:0.747107:0.816188:0.747107:0.000000:0.000000:0.000000
Las razones trigonométricas de un ángulo   son las razones obtenidas entre los tres lados de un triángulo :@0.115209:0.167757:0.883990:0.167757:0.883990:0.151368:0.115209:0.151368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.423780:0.168434:0.435408:0.168434:0.435408:0.152861:0.423780:0.152861:0.000000
rectángulo. Es decir, la comparación por su cociente de sus tres lados :@0.115209:0.184353:0.624046:0.184353:0.624046:0.167964:0.115209:0.167964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a, b c:@0.624046:0.184353:0.673082:0.184353:0.673082:0.167992:0.624046:0.167992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y  , son las siguientes::@0.649236:0.184353:0.811897:0.184353:0.811897:0.167964:0.649236:0.167964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Relaciones trigonométricas :@0.115891:0.141978:0.528246:0.141978:0.528246:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.2.16. Definir e identificar las relaciones trigonométricas en el triángulo rectángulo (seno, coseno, tangente) para resolver numéricamente triángulos rectángulos.:@0.125388:0.074999:0.875200:0.074999:0.875200:0.064570:0.125388:0.064570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7:@0.055475:0.122645:0.075035:0.122645:0.075035:0.065614:0.055475:0.065614:0.000000
Los triángulos notables para el cálculo de algunos ángulos sin la necesidad de una calculadora son::@0.115354:0.365452:0.840647:0.365452:0.840647:0.349063:0.115354:0.349063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b)  :@0.115354:0.799281:0.139199:0.799281:0.139199:0.782381:0.115354:0.782381:0.000000:0.000000:0.000000:0.000000
Calculamos :@0.148597:0.799281:0.240717:0.799281:0.240717:0.782657:0.148597:0.782657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la longitud del lado :@0.242965:0.799281:0.396136:0.799281:0.396136:0.782892:0.242965:0.782892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
—:@0.398660:0.790624:0.417088:0.790624:0.417088:0.774235:0.398660:0.774235:0.000000
AC:@0.398476:0.799420:0.417973:0.799420:0.417973:0.783058:0.398476:0.783058:0.000000:0.000000
 del triángulo rectángulo :@0.422506:0.799267:0.615406:0.799267:0.615406:0.782879:0.422506:0.782879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Δ:@0.617728:0.799945:0.629006:0.799945:0.629006:0.784372:0.617728:0.784372:0.000000
ABC:@0.629006:0.799267:0.657661:0.799267:0.657661:0.782906:0.629006:0.782906:0.000000:0.000000:0.000000
 :@0.657661:0.799267:0.661697:0.799267:0.661697:0.782879:0.657661:0.782879:0.000000
conociendo que el ángulo   tiene una amplitud de 30º   = 30º  y el :@0.148616:0.815864:0.661713:0.815864:0.661713:0.799475:0.148616:0.799475:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.348445:0.816542:0.358562:0.816542:0.358562:0.800969:0.348445:0.800969:0.000000
(b:@0.561063:0.816542:0.577316:0.816542:0.577316:0.800969:0.561063:0.800969:0.000000:0.000000
):@0.621543:0.816542:0.627679:0.816542:0.627679:0.800969:0.621543:0.800969:0.000000
segmento :@0.148616:0.837660:0.227632:0.837660:0.227632:0.821272:0.148616:0.821272:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
—:@0.227818:0.829003:0.246245:0.829003:0.246245:0.812614:0.227818:0.812614:0.000000
AB:@0.227634:0.837799:0.246374:0.837799:0.246374:0.821437:0.227634:0.821437:0.000000:0.000000
 mide 120 unidades.:@0.251663:0.837647:0.399398:0.837647:0.399398:0.821258:0.251663:0.821258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.115391:0.892594:0.119205:0.892594:0.119205:0.875694:0.115391:0.875694:0.000000
β:@0.179710:0.876482:0.189196:0.876482:0.193477:0.861790:0.183990:0.861790:0.000000
β:@0.364826:0.876482:0.374313:0.876482:0.378593:0.861790:0.369106:0.861790:0.000000
():@0.174072:0.878350:0.198384:0.878350:0.198384:0.857046:0.174072:0.857046:0.000000:0.000000
():@0.359188:0.878350:0.383500:0.878350:0.383500:0.857046:0.359188:0.857046:0.000000:0.000000
(:@0.508374:0.875410:0.514128:0.875410:0.514128:0.857633:0.508374:0.857633:0.000000
):@0.538423:0.875410:0.544177:0.875410:0.544177:0.857633:0.538423:0.857633:0.000000
=:@0.202839:0.876482:0.212325:0.876482:0.212325:0.861790:0.202839:0.861790:0.000000
=:@0.300780:0.876482:0.310266:0.876482:0.310266:0.861790:0.300780:0.861790:0.000000
=:@0.434990:0.876482:0.444477:0.876482:0.444477:0.861790:0.434990:0.861790:0.000000
⋅:@0.477654:0.876482:0.481973:0.876482:0.481973:0.861790:0.477654:0.861790:0.000000
=:@0.548293:0.876482:0.557779:0.876482:0.557779:0.861790:0.548293:0.861790:0.000000
⋅:@0.590956:0.876482:0.595276:0.876482:0.595276:0.861790:0.590956:0.861790:0.000000
=:@0.614854:0.876482:0.624340:0.876482:0.624340:0.861790:0.614854:0.861790:0.000000
120:@0.448434:0.875843:0.473351:0.875843:0.473351:0.860381:0.448434:0.860381:0.000000:0.000000:0.000000
30º:@0.514805:0.875843:0.537113:0.875843:0.537113:0.860381:0.514805:0.860381:0.000000:0.000000:0.000000
120:@0.561736:0.875843:0.586653:0.875843:0.586653:0.860381:0.561736:0.860381:0.000000:0.000000:0.000000
1:@0.601099:0.867388:0.609531:0.867388:0.609531:0.851926:0.601099:0.851926:0.000000
2:@0.600356:0.885733:0.608788:0.885733:0.608788:0.870271:0.600356:0.870271:0.000000
60:@0.629714:0.875830:0.646389:0.875830:0.646389:0.860368:0.629714:0.860368:0.000000:0.000000
sen:@0.151380:0.875830:0.173204:0.875830:0.173204:0.860394:0.151380:0.860394:0.000000:0.000000:0.000000
AC:@0.220101:0.867374:0.238383:0.867374:0.238383:0.851939:0.220101:0.851939:0.000000:0.000000
AB:@0.221034:0.887573:0.238314:0.887573:0.238314:0.872137:0.221034:0.872137:0.000000:0.000000
AC:@0.276156:0.875817:0.294438:0.875817:0.294438:0.860381:0.276156:0.860381:0.000000:0.000000
ABsen:@0.316660:0.875817:0.358321:0.875817:0.358321:0.860381:0.316660:0.860381:0.000000:0.000000:0.000000:0.000000:0.000000
AC:@0.410367:0.875817:0.428649:0.875817:0.428649:0.860381:0.410367:0.860381:0.000000:0.000000
sen:@0.486017:0.875817:0.507841:0.875817:0.507841:0.860381:0.486017:0.860381:0.000000:0.000000:0.000000
⇔:@0.247834:0.877433:0.267036:0.877433:0.267036:0.861860:0.247834:0.861860:0.000000
⇒:@0.386840:0.875480:0.405029:0.875480:0.405029:0.859907:0.386840:0.859907:0.000000
 :@0.115346:0.914412:0.119382:0.914412:0.119382:0.898023:0.115346:0.898023:0.000000
Por tanto, la longitud del lado :@0.148590:0.914412:0.369074:0.914412:0.369074:0.898023:0.148590:0.898023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
—:@0.369261:0.905755:0.387688:0.905755:0.387688:0.889366:0.369261:0.889366:0.000000
AC:@0.369076:0.914551:0.388573:0.914551:0.388573:0.898189:0.369076:0.898189:0.000000:0.000000
 es de 60 unidades.:@0.393106:0.914399:0.532749:0.914399:0.532749:0.898010:0.393106:0.898010:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
√3:@0.459923:0.517984:0.478401:0.517984:0.478401:0.503085:0.459923:0.503085:0.000000:0.000000
√2:@0.192283:0.457895:0.210761:0.457895:0.210761:0.442996:0.192283:0.442996:0.000000:0.000000
45°:@0.273862:0.432294:0.295138:0.432294:0.295138:0.417395:0.273862:0.417395:0.000000:0.000000:0.000000
1:@0.303213:0.463689:0.311388:0.463689:0.311388:0.448790:0.303213:0.448790:0.000000
1:@0.223454:0.515276:0.231630:0.515276:0.231630:0.500377:0.223454:0.500377:0.000000
1:@0.577466:0.462432:0.585641:0.462432:0.585641:0.447533:0.577466:0.447533:0.000000
3:@0.861721:0.462432:0.869896:0.462432:0.869896:0.447533:0.861721:0.447533:0.000000
4:@0.744454:0.516533:0.752629:0.516533:0.752629:0.501634:0.744454:0.501634:0.000000
5:@0.724351:0.449469:0.732526:0.449469:0.732526:0.434570:0.724351:0.434570:0.000000
2:@0.446479:0.448211:0.454654:0.448211:0.454654:0.433312:0.446479:0.433312:0.000000
60°:@0.542939:0.424713:0.564215:0.424713:0.564215:0.409813:0.542939:0.409813:0.000000:0.000000:0.000000
53°:@0.828383:0.423417:0.849659:0.423417:0.849659:0.408518:0.828383:0.408518:0.000000:0.000000:0.000000
45°:@0.181540:0.497674:0.202815:0.497674:0.202815:0.482775:0.181540:0.482775:0.000000:0.000000:0.000000
30°:@0.387594:0.497674:0.408870:0.497674:0.408870:0.482775:0.387594:0.482775:0.000000:0.000000:0.000000
37°:@0.661312:0.498893:0.682587:0.498893:0.682587:0.483994:0.661312:0.483994:0.000000:0.000000:0.000000
C:@0.809845:0.912148:0.818858:0.912148:0.818858:0.897274:0.809845:0.897274:0.000000
B:@0.731119:0.913840:0.739160:0.913840:0.739160:0.898966:0.731119:0.898966:0.000000
A:@0.802685:0.790788:0.811681:0.790788:0.811681:0.775914:0.802685:0.775914:0.000000
c:@0.758459:0.857262:0.765428:0.857262:0.765428:0.842388:0.758459:0.842388:0.000000
a:@0.769063:0.916141:0.777490:0.916141:0.777490:0.901267:0.769063:0.901267:0.000000
b:@0.809185:0.857262:0.817612:0.857262:0.817612:0.842388:0.809185:0.842388:0.000000