117:@0.890754:0.963104:0.932133:0.963104:0.932133:0.941283:0.890754:0.941283:0.000000:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.º BG:@0.837761:0.967458:0.879897:0.967458:0.879897:0.954794:0.837761:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 1.:@0.102121:0.195241:0.154372:0.195241:0.154372:0.179663:0.102121:0.179663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Identificamos los datos conocidos y la :@0.154372:0.195241:0.414265:0.195241:0.414265:0.180342:0.154372:0.180342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
incógnita del problema.:@0.102121:0.210329:0.261435:0.210329:0.261435:0.195430:0.102121:0.195430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La longitud de la escalera es la hipotenusa, :@0.102121:0.232545:0.389772:0.232545:0.389772:0.217646:0.102121:0.217646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la distancia es el cateto opuesto y el ángulo :@0.102121:0.247633:0.395335:0.247633:0.395335:0.232734:0.102121:0.232734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
desconocido  .:@0.102121:0.262721:0.202250:0.262721:0.202250:0.247822:0.102121:0.247822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.192551:0.262721:0.199335:0.262721:0.199335:0.247847:0.192551:0.247847:0.000000
Paso 2.:@0.439129:0.195241:0.491380:0.195241:0.491380:0.179663:0.439129:0.179663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Usamos la función inversa :@0.491380:0.195241:0.671919:0.195241:0.671919:0.180342:0.491380:0.180342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de :@0.439129:0.210329:0.460036:0.210329:0.460036:0.195430:0.439129:0.195430:0.000000:0.000000:0.000000
cos x:@0.460036:0.210329:0.492251:0.210329:0.492251:0.195455:0.460036:0.195455:0.000000:0.000000:0.000000:0.000000:0.000000
( ) y determinamos el valor del :@0.481027:0.210329:0.689308:0.210329:0.689308:0.195430:0.481027:0.195430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ángulo  .:@0.439129:0.225416:0.499555:0.225416:0.499555:0.210517:0.439129:0.210517:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.489856:0.225416:0.496640:0.225416:0.496640:0.210543:0.489856:0.210543:0.000000
cosx:@0.441619:0.256528:0.475286:0.256528:0.475286:0.241803:0.441619:0.241803:0.000000:0.000000:0.000000:0.000000
xcos:@0.537347:0.256528:0.581297:0.256528:0.581297:0.241803:0.537347:0.241803:0.000000:0.000000:0.000000:0.000000
x:@0.639361:0.256528:0.646077:0.256528:0.646077:0.241803:0.639361:0.241803:0.000000
():@0.462582:0.256528:0.481307:0.256528:0.481307:0.241778:0.462582:0.241778:0.000000:0.000000
, 15:@0.501457:0.248643:0.513936:0.248643:0.513936:0.233893:0.501457:0.233893:0.000000:0.000000:0.000000:0.000000
, 15:@0.607749:0.248643:0.620245:0.248643:0.620245:0.233893:0.607749:0.233893:0.000000:0.000000:0.000000:0.000000
; :@0.630603:0.256534:0.639370:0.256528:0.639370:0.241778:0.630603:0.241784:0.000000:0.000000
,5:@0.677572:0.256534:0.690084:0.256534:0.690084:0.241784:0.677572:0.241784:0.000000:0.000000
=:@0.483978:0.257138:0.493083:0.257138:0.493083:0.243123:0.483978:0.243123:0.000000
⇒ =:@0.517098:0.257138:0.557449:0.257138:0.557449:0.243123:0.517098:0.243123:0.000000:0.000000:0.000000
:@0.593852:0.250379:0.600221:0.250379:0.600221:0.236364:0.593852:0.236364:0.000000
:@0.593852:0.268171:0.600220:0.268171:0.600220:0.254155:0.593852:0.254155:0.000000
:@0.593852:0.260356:0.600220:0.260356:0.600220:0.246340:0.593852:0.246340:0.000000
:@0.622593:0.250385:0.628962:0.250385:0.628962:0.236370:0.622593:0.236370:0.000000
:@0.622592:0.268171:0.628961:0.268171:0.628961:0.254155:0.622592:0.254155:0.000000
:@0.622592:0.260356:0.628961:0.260356:0.628961:0.246340:0.622592:0.246340:0.000000
=:@0.650344:0.257138:0.659449:0.257138:0.659449:0.243123:0.650344:0.243123:0.000000
°:@0.689965:0.257138:0.696599:0.257138:0.696599:0.243123:0.689965:0.243123:0.000000
−:@0.582167:0.249986:0.587444:0.249986:0.587444:0.241863:0.582167:0.241863:0.000000
5:@0.501464:0.266293:0.509557:0.266293:0.509557:0.251543:0.501464:0.251543:0.000000
5:@0.607773:0.266293:0.615866:0.266293:0.615866:0.251543:0.607773:0.251543:0.000000
72:@0.661823:0.256534:0.677927:0.256534:0.677927:0.241784:0.661823:0.241784:0.000000:0.000000
1:@0.587397:0.249633:0.592087:0.249633:0.592087:0.241084:0.587397:0.241084:0.000000
Paso 1.:@0.102215:0.623001:0.154466:0.623001:0.154466:0.607423:0.102215:0.607423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Expresamos :@0.154466:0.623001:0.241660:0.623001:0.241660:0.608102:0.154466:0.608102:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen x:@0.241660:0.623001:0.282586:0.623001:0.282586:0.608128:0.241660:0.608128:0.000000:0.000000:0.000000:0.000000:0.000000
(3 ) = :@0.263187:0.623001:0.304348:0.623001:0.304348:0.608102:0.263187:0.608102:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen x:@0.304348:0.623001:0.345274:0.623001:0.345274:0.608128:0.304348:0.608128:0.000000:0.000000:0.000000:0.000000:0.000000
(2  +   ) y aplicamos la función seno de la suma de dos :@0.325875:0.623001:0.694009:0.623001:0.694009:0.608102:0.325875:0.608102:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.362596:0.623001:0.369381:0.623001:0.369381:0.608128:0.362596:0.608128:0.000000
ángulos.:@0.102215:0.638089:0.158252:0.638089:0.158252:0.623190:0.102215:0.623190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
senx x:@0.104995:0.655704:0.168814:0.655704:0.168814:0.640979:0.104995:0.640979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen xcos x:@0.189760:0.655704:0.269882:0.655704:0.269882:0.640979:0.189760:0.640979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cos xsen x:@0.289684:0.655704:0.370104:0.655704:0.370104:0.640979:0.289684:0.640979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(2:@0.125444:0.655704:0.138231:0.655704:0.138231:0.640954:0.125444:0.640954:0.000000:0.000000
):@0.170439:0.655704:0.174834:0.655704:0.174834:0.640954:0.170439:0.640954:0.000000
(2:@0.210209:0.655704:0.222996:0.655704:0.222996:0.640954:0.210209:0.640954:0.000000:0.000000
):@0.232068:0.655704:0.236463:0.655704:0.236463:0.640954:0.232068:0.640954:0.000000
():@0.257178:0.655704:0.275902:0.655704:0.275902:0.640954:0.257178:0.640954:0.000000:0.000000
(2:@0.310647:0.655704:0.323451:0.655704:0.323451:0.640954:0.310647:0.640954:0.000000:0.000000
):@0.332506:0.655704:0.336901:0.655704:0.336901:0.640954:0.332506:0.640954:0.000000
():@0.357384:0.655704:0.376108:0.655704:0.376108:0.640954:0.357384:0.640954:0.000000:0.000000
+:@0.149360:0.656314:0.158465:0.656314:0.158465:0.642298:0.149360:0.642298:0.000000
=:@0.177487:0.656314:0.186593:0.656314:0.186593:0.642298:0.177487:0.642298:0.000000
+:@0.277992:0.656314:0.287097:0.656314:0.287097:0.642298:0.277992:0.642298:0.000000
Paso 2.:@0.102215:0.678245:0.154466:0.678245:0.154466:0.662667:0.102215:0.662667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Sustituimos el valor de la función sen(2x) y realizamos las operaciones.:@0.154466:0.678245:0.624597:0.678245:0.624597:0.663346:0.154466:0.663346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen x:@0.102215:0.696891:0.143141:0.696891:0.143141:0.682017:0.102215:0.682017:0.000000:0.000000:0.000000:0.000000:0.000000
(3 ) = (2:@0.123742:0.696891:0.177517:0.696891:0.177517:0.681991:0.123742:0.681991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen x cos x cos x:@0.177517:0.696891:0.295353:0.696891:0.295353:0.682017:0.177517:0.682017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) :@0.199044:0.696891:0.218376:0.696891:0.218376:0.681991:0.199044:0.681991:0.000000:0.000000:0.000000:0.000000
( )) :@0.239367:0.696891:0.263139:0.696891:0.263139:0.681991:0.239367:0.681991:0.000000:0.000000:0.000000:0.000000:0.000000
( ) + (:@0.284129:0.696891:0.321554:0.696891:0.321554:0.681991:0.284129:0.681991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cos x:@0.321554:0.696891:0.358532:0.696897:0.358532:0.682023:0.321554:0.682017:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.342542:0.691399:0.347308:0.691399:0.347308:0.682713:0.342542:0.682713:0.000000
( ) – :@0.347308:0.696897:0.378685:0.696897:0.378685:0.681998:0.347308:0.681998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen x sen x:@0.378685:0.696897:0.461501:0.696897:0.461501:0.682023:0.378685:0.682023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.400212:0.691399:0.404978:0.691399:0.404978:0.682713:0.400212:0.682713:0.000000
( )) :@0.404978:0.696897:0.428750:0.696897:0.428750:0.681998:0.404978:0.681998:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.450277:0.696897:0.465940:0.696897:0.465940:0.681998:0.450277:0.681998:0.000000:0.000000:0.000000
sen x:@0.102212:0.715543:0.143138:0.715543:0.143138:0.700669:0.102212:0.700669:0.000000:0.000000:0.000000:0.000000:0.000000
(3 ) = 2:@0.123739:0.715543:0.173075:0.715543:0.173075:0.700644:0.123739:0.700644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen x cos x:@0.173075:0.715543:0.250917:0.715548:0.250917:0.700674:0.173075:0.700669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) :@0.194602:0.715543:0.213934:0.715543:0.213934:0.700644:0.194602:0.700644:0.000000:0.000000:0.000000:0.000000
2:@0.234926:0.710051:0.239692:0.710051:0.239692:0.701365:0.234926:0.701365:0.000000
( ) + :@0.239692:0.715548:0.272678:0.715548:0.272678:0.700649:0.239692:0.700649:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cos x sen x:@0.272678:0.715548:0.350516:0.715548:0.350516:0.700674:0.272678:0.700674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.293667:0.710051:0.298433:0.710051:0.298433:0.701365:0.293667:0.701365:0.000000
( ) :@0.298433:0.715548:0.317765:0.715548:0.317765:0.700649:0.298433:0.700649:0.000000:0.000000:0.000000:0.000000
( ) – :@0.339292:0.715548:0.370669:0.715548:0.370669:0.700649:0.339292:0.700649:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen x:@0.370669:0.715548:0.408186:0.715548:0.408186:0.700674:0.370669:0.700674:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.392196:0.710051:0.396962:0.710051:0.396962:0.701365:0.392196:0.701365:0.000000
( ):@0.396962:0.715548:0.412626:0.715548:0.412626:0.700649:0.396962:0.700649:0.000000:0.000000:0.000000
sen x:@0.102221:0.734193:0.143147:0.734193:0.143147:0.719319:0.102221:0.719319:0.000000:0.000000:0.000000:0.000000:0.000000
(3 ) = 3:@0.123747:0.734193:0.173083:0.734193:0.173083:0.719294:0.123747:0.719294:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen x cos x:@0.173083:0.734193:0.250917:0.734200:0.250917:0.719326:0.173083:0.719319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) :@0.194610:0.734193:0.213942:0.734193:0.213942:0.719294:0.194610:0.719294:0.000000:0.000000:0.000000:0.000000
2:@0.234926:0.728702:0.239692:0.728702:0.239692:0.720016:0.234926:0.720016:0.000000
( ) – :@0.239692:0.734200:0.271070:0.734200:0.271070:0.719301:0.239692:0.719301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen x:@0.271070:0.734200:0.308585:0.734200:0.308585:0.719326:0.271070:0.719326:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.292595:0.728702:0.297361:0.728702:0.297361:0.720016:0.292595:0.720016:0.000000
( ):@0.297361:0.734200:0.313024:0.734200:0.313024:0.719301:0.297361:0.719301:0.000000:0.000000:0.000000
Paso 3.:@0.102212:0.758302:0.154463:0.758302:0.154463:0.742724:0.102212:0.742724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Reemplazamos :@0.154463:0.758302:0.263957:0.758302:0.263957:0.743403:0.154463:0.743403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cos x:@0.263957:0.758613:0.304635:0.758613:0.304635:0.742251:0.263957:0.742251:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.287046:0.752565:0.292289:0.752565:0.292289:0.743011:0.287046:0.743011:0.000000
( ) = 1 – :@0.292288:0.758613:0.354850:0.758613:0.354850:0.742224:0.292288:0.742224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen x:@0.354850:0.758613:0.396118:0.758613:0.396118:0.742251:0.354850:0.742251:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.378530:0.752565:0.383772:0.752565:0.383772:0.743011:0.378530:0.743011:0.000000
( ):@0.383771:0.758613:0.401001:0.758613:0.401001:0.742224:0.383771:0.742224:0.000000:0.000000:0.000000
sen x:@0.102215:0.776949:0.143141:0.776949:0.143141:0.762075:0.102215:0.762075:0.000000:0.000000:0.000000:0.000000:0.000000
(3 ) = 3:@0.123742:0.776949:0.173078:0.776949:0.173078:0.762050:0.123742:0.762050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen x:@0.173078:0.776949:0.205829:0.776949:0.205829:0.762075:0.173078:0.762075:0.000000:0.000000:0.000000:0.000000:0.000000
( ) (1 – :@0.194605:0.776949:0.242265:0.776949:0.242265:0.762050:0.194605:0.762050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen x:@0.242265:0.776949:0.279779:0.776949:0.279779:0.762075:0.242265:0.762075:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.263789:0.771452:0.268555:0.771452:0.268555:0.762766:0.263789:0.762766:0.000000
( )) – :@0.268555:0.776949:0.304372:0.776949:0.304372:0.762050:0.268555:0.762050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen x:@0.304372:0.776949:0.341889:0.776949:0.341889:0.762075:0.304372:0.762075:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.325899:0.771452:0.330665:0.771452:0.330665:0.762766:0.325899:0.762766:0.000000
( ):@0.330665:0.776949:0.346328:0.776949:0.346328:0.762050:0.330665:0.762050:0.000000:0.000000:0.000000
sen x:@0.102212:0.795595:0.143138:0.795595:0.143138:0.780721:0.102212:0.780721:0.000000:0.000000:0.000000:0.000000:0.000000
(3 ) = 3:@0.123739:0.795595:0.173075:0.795595:0.173075:0.780696:0.123739:0.780696:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen x:@0.173075:0.795595:0.205826:0.795595:0.205826:0.780721:0.173075:0.780721:0.000000:0.000000:0.000000:0.000000:0.000000
( ) – 4:@0.194602:0.795595:0.234154:0.795595:0.234154:0.780696:0.194602:0.780696:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen x:@0.234154:0.795595:0.271671:0.795601:0.271671:0.780727:0.234154:0.780721:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.255681:0.790104:0.260447:0.790104:0.260447:0.781417:0.255681:0.781417:0.000000
( ):@0.260447:0.795601:0.276110:0.795601:0.276110:0.780702:0.260447:0.780702:0.000000:0.000000:0.000000
Ejemplos paso a paso:@0.096357:0.116973:0.251250:0.116973:0.251250:0.101609:0.096357:0.101609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.096359:0.144572:0.110585:0.144572:0.110585:0.127671:0.096359:0.127671:0.000000:0.000000
  Respondamos las preguntas del problema inicial.:@0.110585:0.144572:0.483831:0.144572:0.483831:0.128183:0.110585:0.128183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.124848:0.171859:0.139756:0.171859:0.139756:0.154959:0.124848:0.154959:0.000000:0.000000
  ¿A qué ángulo se encuentra inclinada la escalera?:@0.139756:0.171859:0.515477:0.171859:0.515477:0.155470:0.139756:0.155470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.124848:0.297120:0.141064:0.297120:0.141064:0.280220:0.124848:0.280220:0.000000:0.000000
  Verificamos que se cumple :@0.141064:0.297120:0.354641:0.297120:0.354641:0.280731:0.141064:0.280731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen x:@0.354641:0.297120:0.399948:0.297114:0.399948:0.280753:0.354641:0.280759:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.378322:0.291067:0.383565:0.291067:0.383565:0.281512:0.378322:0.281512:0.000000
 ( ) + :@0.383565:0.297114:0.423885:0.297114:0.423885:0.280725:0.383565:0.280725:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cos x:@0.423885:0.297114:0.468599:0.297114:0.468599:0.280753:0.423885:0.280753:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.446973:0.291067:0.452216:0.291067:0.452216:0.281512:0.446973:0.281512:0.000000
 ( ) = 1:@0.452217:0.297114:0.501529:0.297114:0.501529:0.280725:0.452217:0.280725:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.124850:0.317279:0.128885:0.317279:0.128885:0.300890:0.124850:0.300890:0.000000
sen:@0.153339:0.317279:0.177018:0.317279:0.177018:0.300917:0.153339:0.300917:0.000000:0.000000:0.000000
2:@0.177023:0.311228:0.182266:0.311228:0.182266:0.301673:0.177023:0.301673:0.000000
(72,5°) + :@0.182265:0.317275:0.246688:0.317275:0.246688:0.300886:0.182265:0.300886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cos:@0.246688:0.317275:0.269780:0.317275:0.269780:0.300914:0.246688:0.300914:0.000000:0.000000:0.000000
2:@0.269776:0.311228:0.275019:0.311228:0.275019:0.301673:0.269776:0.301673:0.000000
(72,5°) = 1:@0.275020:0.317275:0.348436:0.317275:0.348436:0.300886:0.275020:0.300886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.124853:0.337439:0.128889:0.337439:0.128889:0.321051:0.124853:0.321051:0.000000
0,91 + 0,09 = 1:@0.153342:0.337439:0.260812:0.337439:0.260812:0.321051:0.153342:0.321051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.:@0.096364:0.364727:0.110590:0.364727:0.110590:0.347826:0.096364:0.347826:0.000000:0.000000
  Verifiquemos la siguiente identidad trigonométrica.:@0.110590:0.364727:0.501838:0.364727:0.501838:0.348338:0.110590:0.348338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096363:0.413603:0.100399:0.413603:0.100399:0.397214:0.096363:0.397214:0.000000
cotu secu:@0.129091:0.389744:0.215830:0.389744:0.215830:0.373383:0.129091:0.373383:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cotu:@0.160289:0.409356:0.204940:0.409356:0.204940:0.392995:0.160289:0.392995:0.000000:0.000000:0.000000:0.000000
tanu:@0.238644:0.398513:0.279995:0.398513:0.279995:0.382152:0.238644:0.382152:0.000000:0.000000:0.000000:0.000000
():@0.152108:0.389744:0.172009:0.389744:0.172009:0.373356:0.152108:0.373356:0.000000:0.000000
():@0.201586:0.389744:0.221488:0.389744:0.221488:0.373356:0.201586:0.373356:0.000000:0.000000
():@0.190695:0.409356:0.210597:0.409356:0.210597:0.392967:0.190695:0.392967:0.000000:0.000000
2:@0.194898:0.382082:0.200110:0.382082:0.200110:0.372584:0.194898:0.372584:0.000000
2:@0.184005:0.401688:0.189217:0.401688:0.189217:0.392189:0.184005:0.392189:0.000000
1:@0.138620:0.409351:0.147613:0.409351:0.147613:0.392962:0.138620:0.392962:0.000000
+:@0.147310:0.410028:0.157426:0.410028:0.157426:0.394456:0.147310:0.394456:0.000000
=:@0.225942:0.399184:0.236059:0.399184:0.236059:0.383611:0.225942:0.383611:0.000000
():@0.263948:0.401237:0.287572:0.401237:0.287572:0.381334:0.263948:0.381334:0.000000:0.000000
Solución::@0.124848:0.433754:0.191943:0.433754:0.191943:0.417365:0.124848:0.417365:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096359:0.507538:0.100395:0.507538:0.100395:0.491150:0.096359:0.491150:0.000000
cot:@0.165952:0.485665:0.188341:0.485665:0.188341:0.469995:0.165952:0.469995:0.000000:0.000000:0.000000
cot:@0.127622:0.468599:0.150012:0.468599:0.150012:0.452929:0.127622:0.452929:0.000000:0.000000:0.000000
sec:@0.179441:0.468599:0.202807:0.468599:0.202807:0.452929:0.179441:0.452929:0.000000:0.000000:0.000000
cos:@0.304657:0.485665:0.328226:0.485665:0.328226:0.469995:0.304657:0.469995:0.000000:0.000000:0.000000
cos:@0.263139:0.451684:0.286708:0.451684:0.286708:0.436014:0.263139:0.436014:0.000000:0.000000:0.000000
cos:@0.320154:0.468612:0.343723:0.468612:0.343723:0.452943:0.320154:0.452943:0.000000:0.000000:0.000000
cos:@0.481341:0.485679:0.504910:0.485679:0.504910:0.470009:0.481341:0.470009:0.000000:0.000000:0.000000
cos:@0.473380:0.468612:0.496949:0.468612:0.496949:0.452943:0.473380:0.452943:0.000000:0.000000:0.000000
u:@0.205497:0.485679:0.214822:0.485679:0.214822:0.470286:0.205497:0.470286:0.000000
u:@0.160571:0.468612:0.169895:0.468612:0.169895:0.453219:0.160571:0.453219:0.000000
u:@0.218360:0.468612:0.227684:0.468612:0.227684:0.453219:0.218360:0.453219:0.000000
sen u:@0.304896:0.502593:0.353324:0.502593:0.353324:0.487200:0.304896:0.487200:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.344202:0.485665:0.353527:0.485665:0.353527:0.470272:0.344202:0.470272:0.000000
sen u:@0.263692:0.468599:0.304896:0.468599:0.304896:0.453205:0.263692:0.453205:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.296088:0.451670:0.305412:0.451670:0.305412:0.436277:0.296088:0.436277:0.000000
u:@0.359700:0.468599:0.369024:0.468599:0.369024:0.453205:0.359700:0.453205:0.000000
sen u:@0.444762:0.502580:0.493190:0.502580:0.493190:0.487187:0.444762:0.487187:0.000000:0.000000:0.000000:0.000000:0.000000
sen u:@0.407741:0.485651:0.456169:0.485651:0.456169:0.470258:0.407741:0.470258:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.521384:0.485651:0.530708:0.485651:0.530708:0.470258:0.521384:0.470258:0.000000
sen u:@0.422335:0.468585:0.463540:0.468585:0.463540:0.453192:0.422335:0.453192:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.506826:0.468585:0.516151:0.468585:0.516151:0.453192:0.506826:0.453192:0.000000
1 +:@0.139895:0.485651:0.162851:0.485665:0.162851:0.469995:0.139895:0.469982:0.000000:0.000000:0.000000
1 +:@0.275854:0.494517:0.298810:0.494530:0.298810:0.478861:0.275854:0.478847:0.000000:0.000000:0.000000
1:@0.344129:0.453496:0.353121:0.453496:0.353121:0.437826:0.344129:0.437826:0.000000
1:@0.469437:0.453496:0.478429:0.453496:0.478429:0.437826:0.469437:0.437826:0.000000
2:@0.189561:0.478270:0.194499:0.478270:0.194499:0.469342:0.189561:0.469342:0.000000
2:@0.203594:0.461224:0.208532:0.461224:0.208532:0.452296:0.203594:0.452296:0.000000
2:@0.328088:0.495211:0.333026:0.495211:0.333026:0.486283:0.328088:0.486283:0.000000
2:@0.328302:0.478270:0.333240:0.478270:0.333240:0.469342:0.328302:0.469342:0.000000
2:@0.343800:0.461224:0.348738:0.461224:0.348738:0.452296:0.343800:0.452296:0.000000
2:@0.467973:0.495211:0.472911:0.495211:0.472911:0.486283:0.467973:0.486283:0.000000
2:@0.430961:0.478270:0.435899:0.478270:0.435899:0.469342:0.430961:0.469342:0.000000
2:@0.505446:0.478270:0.510384:0.478270:0.510384:0.469342:0.505446:0.469342:0.000000
=:@0.242274:0.477519:0.253257:0.477519:0.253257:0.461849:0.242274:0.461849:0.000000
=:@0.386931:0.477519:0.397914:0.477519:0.397914:0.461849:0.386931:0.461849:0.000000
+:@0.467294:0.485665:0.478277:0.485665:0.478277:0.469995:0.467294:0.469995:0.000000
=:@0.548117:0.477519:0.559100:0.477519:0.559100:0.461849:0.548117:0.461849:0.000000
^:@0.151593:0.472777:0.158931:0.472777:0.158931:0.456487:0.151593:0.456487:0.000000
^:@0.196504:0.489823:0.203841:0.489823:0.203841:0.473533:0.196504:0.473533:0.000000
^:@0.208865:0.472777:0.216203:0.472777:0.216203:0.456487:0.208865:0.456487:0.000000
^:@0.286607:0.472777:0.293945:0.472777:0.293945:0.456487:0.286607:0.456487:0.000000
^:@0.287134:0.455837:0.294471:0.455837:0.294471:0.439548:0.287134:0.439548:0.000000
^:@0.335036:0.506764:0.342373:0.506764:0.342373:0.490474:0.335036:0.490474:0.000000
^:@0.335225:0.489823:0.342562:0.489823:0.342562:0.473534:0.335225:0.473534:0.000000
^:@0.350728:0.472778:0.358066:0.472778:0.358066:0.456488:0.350728:0.456488:0.000000
^:@0.437896:0.489823:0.445234:0.489823:0.445234:0.473534:0.437896:0.473534:0.000000
^:@0.445271:0.472778:0.452609:0.472778:0.452609:0.456488:0.445271:0.456488:0.000000
^:@0.474923:0.506764:0.482261:0.506764:0.482261:0.490474:0.474923:0.490474:0.000000
^:@0.497369:0.472777:0.504707:0.472777:0.504707:0.456487:0.497369:0.456487:0.000000
^:@0.511932:0.489823:0.519270:0.489823:0.519270:0.473533:0.511932:0.473533:0.000000
h:@0.171133:0.472777:0.178392:0.472777:0.178392:0.456487:0.171133:0.456487:0.000000
h:@0.216044:0.489823:0.223302:0.489823:0.223302:0.473533:0.216044:0.473533:0.000000
h:@0.228384:0.472777:0.235642:0.472777:0.235642:0.456487:0.228384:0.456487:0.000000
h:@0.306125:0.472777:0.313384:0.472777:0.313384:0.456487:0.306125:0.456487:0.000000
h:@0.306647:0.455837:0.313905:0.455837:0.313905:0.439548:0.306647:0.439548:0.000000
h:@0.354554:0.506764:0.361812:0.506764:0.361812:0.490474:0.354554:0.490474:0.000000
h:@0.354778:0.489823:0.362037:0.489823:0.362037:0.473534:0.354778:0.473534:0.000000
h:@0.370263:0.472778:0.377522:0.472778:0.377522:0.456488:0.370263:0.456488:0.000000
h:@0.457423:0.489823:0.464681:0.489823:0.464681:0.473534:0.457423:0.473534:0.000000
h:@0.464812:0.472778:0.472070:0.472778:0.472070:0.456488:0.464812:0.456488:0.000000
h:@0.494441:0.506764:0.501700:0.506764:0.501700:0.490474:0.494441:0.490474:0.000000
h:@0.516906:0.472777:0.524165:0.472777:0.524165:0.456487:0.516906:0.456487:0.000000
h:@0.531461:0.489823:0.538719:0.489823:0.538719:0.473533:0.531461:0.473533:0.000000
 :@0.096359:0.576325:0.100395:0.576325:0.100395:0.559936:0.096359:0.559936:0.000000
.:@0.510317:0.549453:0.513524:0.549453:0.513524:0.533783:0.510317:0.533783:0.000000
cos:@0.181402:0.540546:0.204971:0.540546:0.204971:0.524877:0.181402:0.524877:0.000000:0.000000:0.000000
cos:@0.310654:0.557585:0.334223:0.557585:0.334223:0.541916:0.310654:0.541916:0.000000:0.000000:0.000000
cos:@0.387036:0.557585:0.410384:0.557585:0.410384:0.541916:0.387036:0.541916:0.000000:0.000000:0.000000
tan:@0.458849:0.549453:0.482178:0.549453:0.482178:0.533783:0.458849:0.533783:0.000000:0.000000:0.000000
sen u:@0.152858:0.570406:0.201286:0.570406:0.201286:0.555013:0.152858:0.555013:0.000000:0.000000:0.000000:0.000000:0.000000
senu:@0.130395:0.540546:0.172152:0.540546:0.172152:0.525153:0.130395:0.525153:0.000000:0.000000:0.000000:0.000000
u:@0.214370:0.540546:0.223694:0.540546:0.223694:0.525153:0.214370:0.525153:0.000000
sen u:@0.259646:0.557585:0.300850:0.557585:0.300850:0.542192:0.259646:0.542192:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.344137:0.557585:0.353461:0.557585:0.353461:0.542192:0.344137:0.542192:0.000000
sen u:@0.282110:0.540546:0.330537:0.540546:0.330537:0.525153:0.282110:0.525153:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.419101:0.557585:0.428425:0.557585:0.428425:0.542192:0.419101:0.542192:0.000000
senu:@0.386686:0.540546:0.428443:0.540546:0.428443:0.525153:0.386686:0.525153:0.000000:0.000000:0.000000:0.000000
u:@0.491816:0.549453:0.501140:0.549453:0.501140:0.534060:0.491816:0.534060:0.000000
1:@0.176667:0.555303:0.185659:0.555303:0.185659:0.539634:0.176667:0.539634:0.000000
1:@0.176611:0.525444:0.185604:0.525444:0.185604:0.509774:0.176611:0.509774:0.000000
2:@0.176003:0.563011:0.180941:0.563011:0.180941:0.554083:0.176003:0.554083:0.000000
2:@0.305253:0.533146:0.310191:0.533146:0.310191:0.524218:0.305253:0.524218:0.000000
=:@0.241547:0.549453:0.252530:0.549453:0.252530:0.533783:0.241547:0.533783:0.000000
=:@0.368679:0.549453:0.379662:0.549453:0.379662:0.533783:0.368679:0.533783:0.000000
=:@0.443514:0.549453:0.454497:0.549453:0.454497:0.533783:0.443514:0.533783:0.000000
^:@0.153269:0.544708:0.160606:0.544708:0.160606:0.528419:0.153269:0.528419:0.000000
^:@0.182959:0.574566:0.190297:0.574566:0.190297:0.558276:0.182959:0.558276:0.000000
^:@0.205348:0.544708:0.212686:0.544708:0.212686:0.528419:0.205348:0.528419:0.000000
^:@0.282526:0.561754:0.289864:0.561754:0.289864:0.545464:0.282526:0.545464:0.000000
^:@0.312215:0.544708:0.319553:0.544708:0.319553:0.528419:0.312215:0.528419:0.000000
^:@0.334624:0.561754:0.341961:0.561754:0.341961:0.545464:0.334624:0.545464:0.000000
^:@0.409581:0.544708:0.416919:0.544708:0.416919:0.528419:0.409581:0.528419:0.000000
^:@0.410089:0.561754:0.417427:0.561754:0.417427:0.545464:0.410089:0.545464:0.000000
^:@0.482808:0.553626:0.490145:0.553626:0.490145:0.537336:0.482808:0.537336:0.000000
h:@0.172809:0.544708:0.180067:0.544708:0.180067:0.528419:0.172809:0.528419:0.000000
h:@0.202477:0.574566:0.209736:0.574566:0.209736:0.558276:0.202477:0.558276:0.000000
h:@0.224903:0.544708:0.232162:0.544708:0.232162:0.528419:0.224903:0.528419:0.000000
h:@0.302069:0.561754:0.309327:0.561754:0.309327:0.545464:0.302069:0.545464:0.000000
h:@0.331754:0.544708:0.339013:0.544708:0.339013:0.528419:0.331754:0.528419:0.000000
h:@0.354163:0.561754:0.361422:0.561754:0.361422:0.545464:0.354163:0.545464:0.000000
h:@0.429132:0.544708:0.436391:0.544708:0.436391:0.528419:0.429132:0.528419:0.000000
h:@0.429653:0.561754:0.436912:0.561754:0.436912:0.545464:0.429653:0.545464:0.000000
h:@0.502370:0.553626:0.509629:0.553626:0.509629:0.537336:0.502370:0.537336:0.000000
3.:@0.096359:0.600049:0.110585:0.600049:0.110585:0.583149:0.096359:0.583149:0.000000:0.000000
  Hallemos el :@0.110585:0.600049:0.214259:0.600049:0.214259:0.583660:0.110585:0.583660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen x:@0.214259:0.600049:0.259278:0.600049:0.259278:0.583688:0.214259:0.583688:0.000000:0.000000:0.000000:0.000000:0.000000
(3 ). :@0.237938:0.600049:0.271403:0.600049:0.271403:0.583660:0.237938:0.583660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cción y expresión:@0.117728:0.090870:0.242599:0.090870:0.242599:0.075506:0.117728:0.075506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.096132:0.091656:0.108221:0.091656:0.108221:0.074520:0.096132:0.074520:0.000000
Interdisciplinariedad:@0.106037:0.844649:0.263243:0.844649:0.263243:0.827748:0.106037:0.827748:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una de las aplicaciones de las funciones trigonométricas está :@0.110843:0.872730:0.521655:0.872730:0.521655:0.857831:0.110843:0.857831:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en geografía, en el cálculo de distancias en un mapa. Se habla, :@0.110843:0.887818:0.528579:0.887818:0.528579:0.872919:0.110843:0.872919:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entonces, de paralelos y meridianos, que son las líneas en una :@0.110843:0.902906:0.525981:0.902906:0.525981:0.888007:0.110843:0.888007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
circunferencia, muy utilizadas para el cálculo de la longitud.:@0.110843:0.917993:0.505590:0.917993:0.505590:0.903094:0.110843:0.903094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paralelos y meridianos :@0.740996:0.909026:0.877428:0.909026:0.877428:0.895617:0.740996:0.895617:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
terrestres.:@0.740996:0.921598:0.798981:0.921598:0.798981:0.908189:0.740996:0.908189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.709173:0.865916:0.709173:0.823090:0.697262:0.823090:0.697262:0.865916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Funciones de ángulo :@0.754768:0.410705:0.908120:0.410705:0.908120:0.395341:0.754768:0.395341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
doble:@0.754768:0.425793:0.796700:0.425793:0.796700:0.410428:0.754768:0.410428:0.000000:0.000000:0.000000:0.000000:0.000000
senx:@0.755040:0.442794:0.795739:0.442794:0.795739:0.428940:0.755040:0.428940:0.000000:0.000000:0.000000:0.000000
senx cosx:@0.824199:0.442794:0.896791:0.442794:0.896791:0.428940:0.824199:0.428940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(2:@0.775489:0.442794:0.788309:0.442794:0.788309:0.428691:0.775489:0.428691:0.000000:0.000000
) 2:@0.797348:0.442794:0.824265:0.442794:0.824265:0.428691:0.797348:0.428691:0.000000:0.000000:0.000000
():@0.844648:0.442794:0.863372:0.442794:0.863372:0.428691:0.844648:0.428691:0.000000:0.000000
():@0.884103:0.442794:0.902828:0.442794:0.902828:0.428691:0.884103:0.428691:0.000000:0.000000
=:@0.804430:0.443404:0.813535:0.443404:0.813535:0.429388:0.804430:0.429388:0.000000
cosx:@0.754774:0.462473:0.795970:0.462473:0.795970:0.448619:0.754774:0.448619:0.000000:0.000000:0.000000:0.000000
cosx:@0.816635:0.462473:0.856936:0.462473:0.856936:0.448619:0.816635:0.448619:0.000000:0.000000:0.000000:0.000000
senx:@0.877037:0.462473:0.916808:0.462473:0.916808:0.448619:0.877037:0.448619:0.000000:0.000000:0.000000:0.000000
(2:@0.775737:0.462473:0.788557:0.462473:0.788557:0.448370:0.775737:0.448370:0.000000:0.000000
):@0.797596:0.462473:0.801991:0.462473:0.801991:0.448370:0.797596:0.448370:0.000000
():@0.844233:0.462473:0.862957:0.462473:0.862957:0.448370:0.844233:0.448370:0.000000:0.000000
():@0.904138:0.462473:0.922862:0.462473:0.922862:0.448370:0.904138:0.448370:0.000000:0.000000
2:@0.838199:0.455572:0.842889:0.455572:0.842889:0.447399:0.838199:0.447399:0.000000
2:@0.898079:0.455572:0.902770:0.455572:0.902770:0.447399:0.898079:0.447399:0.000000
=:@0.804652:0.463087:0.813757:0.463087:0.813757:0.449071:0.804652:0.449071:0.000000
–:@0.865054:0.462477:0.873347:0.462477:0.873347:0.448399:0.865054:0.448399:0.000000
tanx:@0.754768:0.488820:0.795966:0.488820:0.795966:0.474966:0.754768:0.474966:0.000000:0.000000:0.000000:0.000000
tanx:@0.835090:0.480941:0.868757:0.480941:0.868757:0.467087:0.835090:0.467087:0.000000:0.000000:0.000000:0.000000
tanx:@0.838621:0.498565:0.878922:0.498565:0.878922:0.484711:0.838621:0.484711:0.000000:0.000000:0.000000:0.000000
(2:@0.775716:0.488820:0.788535:0.488820:0.788535:0.474717:0.775716:0.474717:0.000000:0.000000
):@0.797574:0.488820:0.801969:0.488820:0.801969:0.474717:0.797574:0.474717:0.000000
():@0.856053:0.480941:0.874777:0.480941:0.874777:0.466838:0.856053:0.466838:0.000000:0.000000
():@0.866235:0.498565:0.884960:0.498565:0.884960:0.484462:0.866235:0.484462:0.000000:0.000000
2:@0.827841:0.480941:0.835934:0.480941:0.835934:0.466838:0.827841:0.466838:0.000000
2:@0.860226:0.491684:0.864917:0.491684:0.864917:0.483511:0.860226:0.483511:0.000000
=:@0.804664:0.489430:0.813769:0.489430:0.813769:0.475414:0.804664:0.475414:0.000000
 1– :@0.816953:0.498565:0.840504:0.498565:0.840504:0.484462:0.816953:0.484462:0.000000:0.000000:0.000000:0.000000
Funciones de ángulo :@0.754768:0.520365:0.908120:0.520365:0.908120:0.505001:0.754768:0.505001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mitad:@0.754768:0.535453:0.797386:0.535453:0.797386:0.520089:0.754768:0.520089:0.000000:0.000000:0.000000:0.000000:0.000000
tan:@0.755681:0.650946:0.777424:0.650946:0.777424:0.637092:0.755681:0.637092:0.000000:0.000000:0.000000
x:@0.789166:0.643067:0.795883:0.643067:0.795883:0.629213:0.789166:0.629213:0.000000
2 2:@0.788662:0.660724:0.796755:0.660724:0.796755:0.646621:0.788662:0.646621:0.000000:0.000000:0.000000
1:@0.821599:0.643074:0.829693:0.643074:0.829693:0.628971:0.821599:0.628971:0.000000
⎛ ⎞:@0.778446:0.644817:0.806541:0.644816:0.806541:0.630800:0.778446:0.630801:0.000000:0.000000:0.000000
⎝ ⎠:@0.778446:0.662604:0.806541:0.662604:0.806541:0.648588:0.778446:0.648588:0.000000:0.000000:0.000000
⎜ ⎟:@0.778446:0.654799:0.806541:0.654799:0.806541:0.640783:0.778446:0.640783:0.000000:0.000000:0.000000
=:@0.809593:0.651562:0.818698:0.651562:0.818698:0.637547:0.809593:0.637547:0.000000
−:@0.829428:0.643683:0.838533:0.643683:0.838533:0.629668:0.829428:0.629668:0.000000
cosx:@0.840838:0.643073:0.874506:0.643073:0.874506:0.629220:0.840838:0.629220:0.000000:0.000000:0.000000:0.000000
senx:@0.834188:0.660724:0.867341:0.660724:0.867341:0.646870:0.834188:0.646870:0.000000:0.000000:0.000000:0.000000
():@0.861802:0.643073:0.880526:0.643073:0.880526:0.628971:0.861802:0.628971:0.000000:0.000000
():@0.854621:0.660724:0.873345:0.660724:0.873345:0.646621:0.854621:0.646621:0.000000:0.000000
 :@0.830539:0.660724:0.834171:0.660724:0.834171:0.646621:0.830539:0.646621:0.000000
cos:@0.755050:0.606711:0.776046:0.606711:0.776046:0.592857:0.755050:0.592857:0.000000:0.000000:0.000000
x:@0.788550:0.598834:0.795266:0.598834:0.795266:0.584980:0.788550:0.584980:0.000000
cos x:@0.851738:0.598834:0.885407:0.598834:0.885407:0.584980:0.851738:0.584980:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.832252:0.598834:0.840346:0.598834:0.840346:0.584731:0.832252:0.584731:0.000000
2:@0.858340:0.616484:0.866434:0.616484:0.866434:0.602381:0.858340:0.602381:0.000000
⎛ ⎞:@0.777837:0.600576:0.805916:0.600576:0.805916:0.586561:0.777837:0.586561:0.000000:0.000000:0.000000
⎝ ⎠:@0.777837:0.618363:0.805916:0.618363:0.805916:0.604348:0.777837:0.604348:0.000000:0.000000:0.000000
⎜ ⎟:@0.777837:0.610559:0.805916:0.610559:0.805916:0.596543:0.777837:0.596543:0.000000:0.000000:0.000000
=:@0.808967:0.607323:0.818072:0.607323:0.818072:0.593307:0.808967:0.593307:0.000000
+:@0.840064:0.599444:0.849169:0.599444:0.849169:0.585428:0.840064:0.585428:0.000000
():@0.872699:0.598834:0.891423:0.598834:0.891423:0.584731:0.872699:0.584731:0.000000:0.000000
     :@0.894325:0.606713:0.912486:0.606713:0.912486:0.592610:0.894325:0.592610:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.788052:0.616487:0.796145:0.616487:0.796145:0.602385:0.788052:0.602385:0.000000
sen:@0.754768:0.561404:0.775996:0.561404:0.775996:0.547550:0.754768:0.547550:0.000000:0.000000:0.000000
x:@0.787749:0.553527:0.794466:0.553527:0.794466:0.539673:0.787749:0.539673:0.000000
cos x:@0.850655:0.553527:0.884325:0.553527:0.884325:0.539673:0.850655:0.539673:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.787237:0.571177:0.795330:0.571177:0.795330:0.557074:0.787237:0.557074:0.000000
1:@0.831436:0.553527:0.839529:0.553527:0.839529:0.539424:0.831436:0.539424:0.000000
⎛ ⎞:@0.777021:0.555269:0.805115:0.555269:0.805115:0.541254:0.777021:0.541254:0.000000:0.000000:0.000000
⎝ ⎠:@0.777021:0.573057:0.805115:0.573057:0.805115:0.559041:0.777021:0.559041:0.000000:0.000000:0.000000
⎜ ⎟:@0.777021:0.565252:0.805115:0.565252:0.805115:0.551236:0.777021:0.551236:0.000000:0.000000:0.000000
=:@0.808167:0.562016:0.817272:0.562016:0.817272:0.548000:0.808167:0.548000:0.000000
−:@0.839264:0.554137:0.848369:0.554137:0.848369:0.540121:0.839264:0.540121:0.000000
():@0.871616:0.553527:0.890341:0.553527:0.890341:0.539424:0.871616:0.539424:0.000000:0.000000
2:@0.857655:0.571181:0.865748:0.571181:0.865748:0.557078:0.857655:0.557078:0.000000
     Matemática:@0.775632:0.378264:0.883173:0.378264:0.883173:0.361363:0.775632:0.361363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 m:@0.838505:0.182568:0.864069:0.182568:0.864069:0.167669:0.838505:0.167669:0.000000:0.000000:0.000000
1,5 m:@0.815856:0.295071:0.852510:0.295071:0.852510:0.280172:0.815856:0.280172:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.901652:0.275455:0.908436:0.275455:0.908436:0.260581:0.901652:0.260581:0.000000
 ©:@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
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000