﻿224:@0.024814:0.963884:0.056738:0.963884:0.056738:0.945447:0.024814:0.945447:0.000000:0.000000:0.000000
M.4.2.16.:@0.096359:0.936830:0.142269:0.936830:0.142269:0.926075:0.096359:0.926075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Definir e identificar las relaciones trigonométricas en el triángulo rectángulo (seno, coseno, tangente) para resolver numéricamente triángulos rectángulos.:@0.142269:0.936830:0.865199:0.936830:0.865199:0.926858:0.142269:0.926858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaga:@0.311726:0.165815:0.367230:0.165815:0.367230:0.148915:0.311726:0.148915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. ¿Qué es una razón trigonométrica?:@0.367230:0.165815:0.630685:0.165815:0.630685:0.150146:0.367230:0.150146:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.344931:0.139924:0.522686:0.139924:0.522686:0.123023:0.344931:0.123023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Relaciones trigonométricas:@0.305303:0.084620:0.699688:0.084620:0.699688:0.053892:0.305303:0.053892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema 3:@0.124729:0.083964:0.219414:0.083964:0.219414:0.055923:0.124729:0.055923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Nombre:@0.329589:0.612314:0.390266:0.612314:0.390266:0.596736:0.329589:0.596736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Razón trigonométrica:@0.430573:0.612314:0.592985:0.612314:0.592985:0.596736:0.430573:0.596736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición:@0.667904:0.612314:0.744295:0.612314:0.744295:0.596736:0.667904:0.596736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En la figura:@0.811204:0.612314:0.894631:0.612314:0.894631:0.596736:0.811204:0.596736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Seno:@0.312368:0.650423:0.346241:0.650423:0.346241:0.636178:0.312368:0.636178:0.000000:0.000000:0.000000:0.000000
Sen:@0.486246:0.648847:0.509180:0.648847:0.513540:0.633973:0.490606:0.633973:0.000000:0.000000:0.000000
α:@0.516588:0.649463:0.527159:0.649463:0.531309:0.635305:0.520738:0.635305:0.000000
():@0.512505:0.651693:0.535406:0.651693:0.535406:0.633572:0.512505:0.633572:0.000000:0.000000
cateto opuesto:@0.661615:0.640772:0.749531:0.640772:0.749531:0.627496:0.661615:0.627496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hipotenusa:@0.674228:0.656522:0.739605:0.656522:0.739605:0.643247:0.674228:0.643247:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.848630:0.641569:0.856973:0.641569:0.856973:0.626844:0.848630:0.626844:0.000000
c:@0.849144:0.659070:0.856044:0.659070:0.856044:0.644345:0.849144:0.644345:0.000000
Coseno:@0.312369:0.697489:0.362995:0.697489:0.362995:0.683244:0.312369:0.683244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cos:@0.485670:0.695917:0.508537:0.695917:0.512897:0.681043:0.490030:0.681043:0.000000:0.000000:0.000000
α:@0.516699:0.696533:0.527269:0.696533:0.531419:0.682376:0.520849:0.682376:0.000000
():@0.512609:0.698765:0.535510:0.698765:0.535510:0.680644:0.512609:0.680644:0.000000:0.000000
cateto adyacente:@0.655850:0.687844:0.756156:0.687844:0.756156:0.674569:0.655850:0.674569:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hipotenusa:@0.673389:0.703594:0.738766:0.703594:0.738766:0.690319:0.673389:0.690319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.848300:0.688641:0.856643:0.688641:0.856643:0.673916:0.848300:0.673916:0.000000
c:@0.849007:0.706145:0.855907:0.706145:0.855907:0.691420:0.849007:0.691420:0.000000
Tangente:@0.312369:0.744561:0.375124:0.744561:0.375124:0.730316:0.312369:0.730316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tan:@0.484989:0.742989:0.509331:0.742989:0.513691:0.728116:0.489349:0.728116:0.000000:0.000000:0.000000
α:@0.516739:0.743606:0.527310:0.743606:0.531460:0.729448:0.520889:0.729448:0.000000
():@0.512663:0.745836:0.535563:0.745836:0.535563:0.727715:0.512663:0.727715:0.000000:0.000000
cateto opuesto:@0.661677:0.734914:0.749608:0.734914:0.749608:0.721639:0.661677:0.721639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cateto adyacente:@0.655453:0.750665:0.755758:0.750665:0.755758:0.737390:0.655453:0.737390:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.848630:0.735712:0.856973:0.735712:0.856973:0.720987:0.848630:0.720987:0.000000
b:@0.848448:0.753213:0.856790:0.753213:0.856790:0.738488:0.848448:0.738488:0.000000
Cosecante:@0.312369:0.791633:0.382361:0.791633:0.382361:0.777388:0.312369:0.777388:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Csc:@0.485670:0.790062:0.506878:0.790062:0.511238:0.775188:0.490030:0.775188:0.000000:0.000000:0.000000
α:@0.515593:0.790678:0.526164:0.790678:0.530314:0.776520:0.519743:0.776520:0.000000
():@0.511510:0.792908:0.534411:0.792908:0.534411:0.774787:0.511510:0.774787:0.000000:0.000000
hipotenusa:@0.672807:0.781987:0.738185:0.781987:0.738185:0.768711:0.672807:0.768711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cateto opuesto:@0.662120:0.797737:0.750036:0.797737:0.750036:0.784462:0.662120:0.784462:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.849148:0.782784:0.856047:0.782784:0.856047:0.768059:0.849148:0.768059:0.000000
a:@0.848630:0.800288:0.856973:0.800288:0.856973:0.785563:0.848630:0.785563:0.000000
Secante:@0.312369:0.838704:0.365609:0.838704:0.365609:0.824459:0.312369:0.824459:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sec:@0.487083:0.837132:0.508342:0.837132:0.512702:0.822259:0.491443:0.822259:0.000000:0.000000:0.000000
α:@0.517057:0.837748:0.527628:0.837748:0.531778:0.823591:0.521207:0.823591:0.000000
():@0.512976:0.839980:0.535877:0.839980:0.535877:0.821859:0.512976:0.821859:0.000000:0.000000
hipotenusa:@0.673352:0.829059:0.738729:0.829059:0.738729:0.815784:0.673352:0.815784:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cateto adyacente:@0.655649:0.844809:0.755954:0.844809:0.755954:0.831534:0.655649:0.831534:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.849007:0.829856:0.855907:0.829856:0.855907:0.815131:0.849007:0.815131:0.000000
b:@0.848294:0.847357:0.856636:0.847357:0.856636:0.832632:0.848294:0.832632:0.000000
Cotangente:@0.312369:0.885776:0.391908:0.885776:0.391908:0.871531:0.312369:0.871531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cot:@0.485670:0.884204:0.507632:0.884204:0.511992:0.869331:0.490030:0.869331:0.000000:0.000000:0.000000
α:@0.516699:0.884821:0.527269:0.884821:0.531419:0.870663:0.520849:0.870663:0.000000
():@0.512609:0.887051:0.535510:0.887051:0.535510:0.868930:0.512609:0.868930:0.000000:0.000000
cateto adyacente:@0.646945:0.876099:0.763199:0.876099:0.763199:0.862594:0.646945:0.862594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cateto opuesto:@0.656719:0.892122:0.758632:0.892122:0.758632:0.878617:0.656719:0.878617:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.848441:0.876927:0.856783:0.876927:0.856783:0.862202:0.848441:0.862202:0.000000
a:@0.848630:0.894431:0.856973:0.894431:0.856973:0.879706:0.848630:0.879706:0.000000
Observemos los siguientes triángulos rectángulos, que a su vez tienen un ángulo :@0.304744:0.206500:0.907121:0.206500:0.907121:0.190831:0.304744:0.190831:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
agudo congruente.:@0.304744:0.223097:0.446137:0.223097:0.446137:0.207427:0.304744:0.207427:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.383544:0.246667:0.393092:0.246667:0.393092:0.231768:0.383544:0.231768:0.000000
B:@0.383544:0.330454:0.392004:0.330454:0.392004:0.315555:0.383544:0.315555:0.000000
A E:@0.518618:0.330454:0.552693:0.330454:0.552693:0.315555:0.518618:0.315555:0.000000:0.000000:0.000000
f:@0.596701:0.330454:0.601090:0.330454:0.601090:0.315555:0.596701:0.315555:0.000000
i:@0.770239:0.330454:0.773740:0.330454:0.773740:0.315555:0.770239:0.315555:0.000000
D:@0.674784:0.330454:0.685623:0.330454:0.685623:0.315555:0.674784:0.315555:0.000000
H:@0.726381:0.330454:0.736935:0.330454:0.736935:0.315555:0.726381:0.315555:0.000000
I:@0.726381:0.269726:0.729916:0.269726:0.729916:0.254827:0.726381:0.254827:0.000000
G:@0.821032:0.330454:0.831486:0.330454:0.831486:0.315555:0.821032:0.315555:0.000000
F:@0.544886:0.262321:0.552626:0.262321:0.552626:0.247422:0.544886:0.247422:0.000000
c:@0.440954:0.330454:0.448426:0.330454:0.448426:0.315555:0.440954:0.315555:0.000000
b:@0.455596:0.281872:0.464843:0.281872:0.464843:0.266973:0.455596:0.266973:0.000000
α:@0.485499:0.313304:0.494411:0.313304:0.494411:0.298405:0.485499:0.298405:0.000000
α:@0.642016:0.313304:0.650929:0.313304:0.650929:0.298405:0.642016:0.298405:0.000000
α:@0.789638:0.313304:0.798551:0.313304:0.798551:0.298405:0.789638:0.298405:0.000000
d:@0.534600:0.294571:0.543713:0.294571:0.543713:0.279672:0.534600:0.279672:0.000000
e:@0.614777:0.288498:0.622902:0.288498:0.622902:0.273599:0.614777:0.273599:0.000000
g:@0.716782:0.297689:0.725896:0.297689:0.725896:0.282790:0.716782:0.282790:0.000000
h:@0.776672:0.291616:0.785651:0.291616:0.785651:0.276717:0.776672:0.276717:0.000000
a:@0.373308:0.287945:0.380913:0.287945:0.380913:0.273046:0.373308:0.273046:0.000000
Los triángulos anteriores son semejantes por el criterio de semejanza ángulo-:@0.304744:0.359871:0.903014:0.359871:0.903014:0.344201:0.304744:0.344201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ángulo. Si se conoce uno de los ángulos agudos del triángulo, la razón entre dos :@0.304744:0.376467:0.907125:0.376467:0.907125:0.360798:0.304744:0.360798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lados del triángulo es constante.:@0.304744:0.393064:0.541664:0.393064:0.541664:0.377394:0.304744:0.377394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Triángulo rectángulo:@0.095800:0.272859:0.221060:0.272859:0.221060:0.260039:0.095800:0.260039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Archivo editorial.:@0.090553:0.253183:0.090553:0.202874:0.079165:0.202874:0.079165:0.253183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En todo triángulo rectángulo, los catetos son los lados :@0.305303:0.415728:0.698676:0.415728:0.698676:0.400058:0.305303:0.400058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que forman el ángulo recto y la hipotenusa es el lado :@0.305303:0.432324:0.698695:0.432324:0.698695:0.416654:0.305303:0.416654:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
más grande del triángulo, opuesto al ángulo recto.:@0.305303:0.448921:0.674864:0.448921:0.674864:0.433251:0.305303:0.433251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El cateto adyacente es aquel que forma un lado del :@0.305303:0.472640:0.698674:0.472640:0.698674:0.456970:0.305303:0.456970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ángulo agudo que se está empleando.:@0.305303:0.489236:0.587628:0.489236:0.587628:0.473566:0.305303:0.473566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Razones trigonométricas:@0.305303:0.516612:0.539266:0.516612:0.539266:0.496639:0.305303:0.496639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.845895:0.408592:0.851499:0.408592:0.851499:0.399491:0.845895:0.399491:0.000000
b:@0.788945:0.479462:0.796031:0.479462:0.796031:0.468086:0.788945:0.468086:0.000000
c:@0.777378:0.443804:0.783087:0.443804:0.783087:0.432428:0.777378:0.432428:0.000000
A:@0.731166:0.477071:0.737299:0.477071:0.737299:0.467970:0.731166:0.467970:0.000000
C:@0.845894:0.477071:0.851887:0.477071:0.851887:0.467970:0.845894:0.467970:0.000000
Hipotenusa:@0.740299:0.431410:0.801070:0.431410:0.801070:0.420717:0.740299:0.420717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cateto:@0.741257:0.480499:0.775912:0.480499:0.775912:0.469806:0.741257:0.469806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
adyacente:@0.741258:0.487931:0.795618:0.487931:0.795618:0.477238:0.741258:0.477238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cateto:@0.846612:0.424944:0.881267:0.424944:0.881267:0.414251:0.846612:0.414251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
opuesto:@0.846612:0.432375:0.889946:0.432375:0.889946:0.421682:0.846612:0.421682:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
90º:@0.817888:0.466171:0.836528:0.466171:0.836528:0.454714:0.817888:0.454714:0.000000:0.000000:0.000000
El valor de cada razón trigonométrica es independiente de la medida de los :@0.304744:0.539134:0.907692:0.539134:0.907692:0.523465:0.304744:0.523465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lados del triángulo rectángulo, porque solo depende del valor del ángulo agudo :@0.304744:0.555731:0.907711:0.555731:0.907711:0.540061:0.304744:0.540061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
empleado.:@0.304744:0.572327:0.382857:0.572327:0.382857:0.556657:0.304744:0.556657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Hace más de 5 000 :@0.105857:0.333837:0.235470:0.333837:0.235470:0.319592:0.105857:0.319592:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
años, los matemáticos :@0.105857:0.348925:0.257213:0.348925:0.257213:0.334680:0.105857:0.334680:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
egipcios conocían la :@0.105857:0.364013:0.245840:0.364013:0.245840:0.349767:0.105857:0.349767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
relación entre el valor :@0.105857:0.379100:0.252857:0.379100:0.252857:0.364855:0.105857:0.364855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de las razones de las :@0.105857:0.394188:0.244917:0.394188:0.244917:0.379943:0.105857:0.379943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
longitudes de los lados :@0.105857:0.409275:0.263396:0.409275:0.263396:0.395030:0.105857:0.395030:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y la medida de los :@0.105857:0.424363:0.229858:0.424363:0.229858:0.410118:0.105857:0.410118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ángulos agudos en un :@0.105857:0.439451:0.258705:0.439451:0.258705:0.425205:0.105857:0.425205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
triángulo rectángulo. :@0.105857:0.454538:0.249373:0.454538:0.249373:0.440293:0.105857:0.440293:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Esos valores eran útiles :@0.105857:0.469626:0.261669:0.469626:0.261669:0.455381:0.105857:0.455381:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la determinación de :@0.105857:0.484713:0.264199:0.484713:0.264199:0.470468:0.105857:0.470468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
distancias imposibles :@0.105857:0.499801:0.250949:0.499801:0.250949:0.485556:0.105857:0.485556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de medir directamente :@0.105857:0.514889:0.263460:0.514889:0.263460:0.500643:0.105857:0.500643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y, por ello, se :@0.105857:0.529976:0.194475:0.529976:0.194475:0.515731:0.105857:0.515731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
establecieron razones :@0.105857:0.545064:0.254449:0.545064:0.254449:0.530819:0.105857:0.530819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trigonométricas.:@0.105857:0.560151:0.215148:0.560151:0.215148:0.545906:0.105857:0.545906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Sabías que?:@0.138428:0.309327:0.240296:0.309327:0.240296:0.292427:0.138428:0.292427:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 1581184210.:@0.090041:0.665776:0.090041:0.586816:0.078653:0.586816:0.078653:0.665776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La Ley Orgánica de la :@0.106105:0.728205:0.251047:0.728205:0.251047:0.713960:0.106105:0.713960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Educación Intercultural :@0.106105:0.743292:0.263944:0.743292:0.263944:0.729047:0.106105:0.729047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(Ecuador, 2011) estipula :@0.106105:0.758380:0.267883:0.758380:0.267883:0.744135:0.106105:0.744135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la contextualización, :@0.106105:0.773468:0.245433:0.773468:0.245433:0.759222:0.106105:0.759222:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
valoración, respeto, :@0.106105:0.788555:0.238514:0.788555:0.238514:0.774310:0.106105:0.774310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
desarrollo y :@0.106105:0.803643:0.186650:0.803643:0.186650:0.789398:0.106105:0.789398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
transversalización de la :@0.106105:0.818731:0.263108:0.818731:0.263108:0.804485:0.106105:0.804485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
interculturalidad en el :@0.106105:0.833818:0.255754:0.833818:0.255754:0.819573:0.106105:0.819573:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sistema de educación :@0.106105:0.848906:0.254950:0.848906:0.254950:0.834661:0.106105:0.834661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nacional. Así, se busca :@0.106105:0.863993:0.256290:0.863993:0.256290:0.849748:0.106105:0.849748:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fomentar la diversidad :@0.106105:0.879081:0.258583:0.879081:0.258583:0.864836:0.106105:0.864836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cultural y lingüística. :@0.106105:0.894169:0.245032:0.894169:0.245032:0.879923:0.106105:0.879923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interculturalidad:@0.136439:0.701187:0.264659:0.701187:0.264659:0.684286:0.136439:0.684286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Respuesta abierta.:@0.311951:0.173250:0.396955:0.173250:0.396955:0.163278:0.311951:0.163278:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000