﻿79:@0.921900:0.510692:0.940807:0.510692:0.940807:0.494068:0.921900:0.494068:0.000000:0.000000
b) :@0.545667:0.172018:0.565697:0.172018:0.565697:0.155117:0.545667:0.155117:0.000000:0.000000:0.000000
Halla:@0.578910:0.172018:0.617387:0.172018:0.617387:0.155394:0.578910:0.155394:0.000000:0.000000:0.000000:0.000000:0.000000
 el periodo. :@0.617387:0.172018:0.703370:0.172018:0.703370:0.155629:0.617387:0.155629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________________________:@0.578910:0.198212:0.884477:0.198212:0.884477:0.181312:0.578910:0.181312:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c) :@0.545667:0.237020:0.563302:0.237020:0.563302:0.220119:0.545667:0.220119:0.000000:0.000000:0.000000
Determina:@0.578910:0.237020:0.660600:0.237020:0.660600:0.220396:0.578910:0.220396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la frecuencia.:@0.660600:0.237020:0.760404:0.237020:0.760404:0.220631:0.660600:0.220631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________________________:@0.578910:0.275828:0.884477:0.275828:0.884477:0.258927:0.578910:0.258927:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.512425:0.294174:0.516094:0.294174:0.516094:0.279275:0.512425:0.279275:0.000000
d) :@0.545667:0.314650:0.565734:0.314650:0.565734:0.297749:0.545667:0.297749:0.000000:0.000000:0.000000
Escribe:@0.578910:0.314650:0.633659:0.314650:0.633659:0.298026:0.578910:0.298026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el recorrido.:@0.633659:0.314650:0.724452:0.314650:0.724452:0.298261:0.633659:0.298261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________________________:@0.578910:0.340844:0.884477:0.340844:0.884477:0.323944:0.578910:0.323944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.512425:0.359182:0.516094:0.359182:0.516094:0.344283:0.512425:0.344283:0.000000
e) :@0.545667:0.379657:0.564537:0.379657:0.564537:0.362756:0.545667:0.362756:0.000000:0.000000:0.000000
Indica:@0.578910:0.379657:0.625569:0.379657:0.625569:0.363033:0.578910:0.363033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 si es una función par o impar.:@0.625569:0.379657:0.843697:0.379657:0.843697:0.363268:0.625569:0.363268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________________________:@0.578910:0.405852:0.884477:0.405852:0.884477:0.388951:0.578910:0.388951:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f) :@0.545667:0.444660:0.562491:0.444660:0.562491:0.427759:0.545667:0.427759:0.000000:0.000000:0.000000
Grafica:@0.578910:0.444660:0.632406:0.444660:0.632406:0.428036:0.578910:0.428036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la función.:@0.632406:0.444660:0.712197:0.444660:0.712197:0.428271:0.632406:0.428271:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.545667:0.670937:0.549481:0.670937:0.549481:0.654037:0.545667:0.654037:0.000000
0:@0.671368:0.570035:0.677091:0.570035:0.677091:0.559606:0.671368:0.559606:0.000000
–5:@0.634793:0.570035:0.646379:0.570035:0.646379:0.559606:0.634793:0.559606:0.000000:0.000000
–5:@0.662245:0.593455:0.673831:0.593455:0.673831:0.583026:0.662245:0.583026:0.000000:0.000000
5:@0.718392:0.572174:0.724115:0.572174:0.724115:0.561744:0.718392:0.561744:0.000000
5:@0.668179:0.534989:0.673901:0.534989:0.673901:0.524560:0.668179:0.524560:0.000000
10:@0.755824:0.572174:0.767269:0.572174:0.767269:0.561744:0.755824:0.561744:0.000000:0.000000
10:@0.664790:0.503684:0.676235:0.503684:0.676235:0.493254:0.664790:0.493254:0.000000:0.000000
15:@0.796656:0.572174:0.808101:0.572174:0.808101:0.561744:0.796656:0.561744:0.000000:0.000000
15:@0.665329:0.474649:0.676774:0.474649:0.676774:0.464219:0.665329:0.464219:0.000000:0.000000
y:@0.691245:0.459194:0.696405:0.459194:0.696405:0.448765:0.691245:0.448765:0.000000
x:@0.867016:0.555425:0.872047:0.555425:0.872047:0.544996:0.867016:0.544996:0.000000
20:@0.835811:0.572183:0.847257:0.572183:0.847257:0.561753:0.835811:0.561753:0.000000:0.000000
–10:@0.591744:0.571470:0.609053:0.571470:0.609053:0.561040:0.591744:0.561040:0.000000:0.000000:0.000000
–15:@0.659395:0.654755:0.676704:0.654755:0.676704:0.644325:0.659395:0.644325:0.000000:0.000000:0.000000
–10:@0.659395:0.624919:0.676704:0.624919:0.676704:0.614490:0.659395:0.614490:0.000000:0.000000:0.000000
2. :@0.119958:0.806360:0.138699:0.806360:0.138699:0.789224:0.119958:0.789224:0.000000:0.000000:0.000000
Se tiene la función :@0.153202:0.806360:0.292736:0.806360:0.292736:0.789971:0.153202:0.789971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.308330:0.805853:0.318447:0.805853:0.318447:0.790280:0.308330:0.790280:0.000000
⎛:@0.345075:0.796227:0.352151:0.796227:0.352151:0.780654:0.345075:0.780654:0.000000
⎝:@0.345075:0.816378:0.352151:0.816378:0.352151:0.800805:0.345075:0.800805:0.000000
⎜:@0.345075:0.807112:0.352151:0.807112:0.352151:0.791539:0.345075:0.791539:0.000000
⎞:@0.378005:0.796227:0.385081:0.796227:0.385081:0.780654:0.378005:0.780654:0.000000
⎠:@0.378005:0.816378:0.385081:0.816378:0.385081:0.800805:0.378005:0.800805:0.000000
⎟:@0.378005:0.807112:0.385081:0.807112:0.385081:0.791539:0.378005:0.791539:0.000000
y:@0.296813:0.805176:0.304295:0.805176:0.304295:0.789782:0.296813:0.789782:0.000000
x:@0.368478:0.805176:0.375941:0.805176:0.375941:0.789782:0.368478:0.789782:0.000000
cot:@0.321000:0.805176:0.344348:0.805176:0.344348:0.789506:0.321000:0.789506:0.000000:0.000000:0.000000
1:@0.355663:0.796656:0.364655:0.796656:0.364655:0.780986:0.355663:0.780986:0.000000
4:@0.354870:0.816101:0.363863:0.816101:0.363863:0.800432:0.354870:0.800432:0.000000
.:@0.385239:0.805176:0.388445:0.805176:0.388445:0.789506:0.385239:0.789506:0.000000
a) :@0.153198:0.852387:0.171921:0.852387:0.171921:0.835487:0.153198:0.835487:0.000000:0.000000:0.000000
Escribe:@0.186442:0.852387:0.241190:0.852387:0.241190:0.835763:0.186442:0.835763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el dominio.:@0.241190:0.852387:0.327284:0.852387:0.327284:0.835998:0.241190:0.835998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________________________:@0.186442:0.878582:0.492009:0.878582:0.492009:0.861681:0.186442:0.861681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.119955:0.173540:0.138696:0.173540:0.138696:0.156404:0.119955:0.156404:0.000000:0.000000:0.000000
Se tiene la función :@0.153198:0.173540:0.292732:0.173540:0.292732:0.157151:0.153198:0.157151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.308330:0.174409:0.318447:0.174409:0.318447:0.158836:0.308330:0.158836:0.000000
⎛:@0.345020:0.164783:0.352096:0.164783:0.352096:0.149210:0.345020:0.149210:0.000000
⎝:@0.345020:0.184934:0.352096:0.184934:0.352096:0.169361:0.345020:0.169361:0.000000
⎜:@0.345020:0.175668:0.352096:0.175668:0.352096:0.160095:0.345020:0.160095:0.000000
⎞:@0.377950:0.164783:0.385026:0.164783:0.385026:0.149210:0.377950:0.149210:0.000000
⎠:@0.377950:0.184934:0.385026:0.184934:0.385026:0.169361:0.377950:0.169361:0.000000
⎟:@0.377950:0.175668:0.385026:0.175668:0.385026:0.160095:0.377950:0.160095:0.000000
y:@0.296813:0.173731:0.304295:0.173731:0.304295:0.158338:0.296813:0.158338:0.000000
x:@0.368423:0.173731:0.375886:0.173731:0.375886:0.158338:0.368423:0.158338:0.000000
tan:@0.321734:0.173731:0.345008:0.173731:0.345008:0.158062:0.321734:0.158062:0.000000:0.000000:0.000000
1:@0.355604:0.165212:0.364597:0.165212:0.364597:0.149542:0.355604:0.149542:0.000000
4:@0.354812:0.184657:0.363804:0.184657:0.363804:0.168988:0.354812:0.168988:0.000000
.:@0.385180:0.173731:0.388387:0.173731:0.388387:0.158062:0.385180:0.158062:0.000000
a) :@0.153198:0.210927:0.171921:0.210927:0.171921:0.194027:0.153198:0.194027:0.000000:0.000000:0.000000
Escribe:@0.186442:0.210927:0.241190:0.210927:0.241190:0.194303:0.186442:0.194303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el dominio.:@0.241190:0.210927:0.327284:0.210927:0.327284:0.194538:0.241190:0.194538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________________________:@0.186442:0.237122:0.492009:0.237122:0.492009:0.220221:0.186442:0.220221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.119958:0.255460:0.123626:0.255460:0.123626:0.240561:0.119958:0.240561:0.000000
b) :@0.153198:0.275935:0.173229:0.275935:0.173229:0.259034:0.153198:0.259034:0.000000:0.000000:0.000000
Indaga:@0.186442:0.275935:0.239716:0.275935:0.239716:0.259311:0.186442:0.259311:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el periodo. :@0.239716:0.275935:0.325699:0.275935:0.325699:0.259546:0.239716:0.259546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________________________:@0.186442:0.302129:0.492009:0.302129:0.492009:0.285229:0.186442:0.285229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.119958:0.320467:0.123626:0.320467:0.123626:0.305568:0.119958:0.305568:0.000000
c) :@0.153198:0.340942:0.170833:0.340942:0.170833:0.324042:0.153198:0.324042:0.000000:0.000000:0.000000
Determina:@0.186442:0.340942:0.268131:0.340942:0.268131:0.324318:0.186442:0.324318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la frecuencia.:@0.268131:0.340942:0.367935:0.340942:0.367935:0.324553:0.268131:0.324553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________________________:@0.186442:0.387302:0.492009:0.387302:0.492009:0.370401:0.186442:0.370401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.119958:0.405635:0.123626:0.405635:0.123626:0.390736:0.119958:0.390736:0.000000
d) :@0.153198:0.426109:0.173266:0.426109:0.173266:0.409209:0.153198:0.409209:0.000000:0.000000:0.000000
Anota:@0.186442:0.426109:0.232990:0.426109:0.232990:0.409485:0.186442:0.409485:0.000000:0.000000:0.000000:0.000000:0.000000
 el recorrido.:@0.232990:0.426109:0.323783:0.426109:0.323783:0.409720:0.232990:0.409720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________________________:@0.186442:0.452304:0.492009:0.452304:0.492009:0.435403:0.186442:0.435403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.119958:0.470643:0.123626:0.470643:0.123626:0.455744:0.119958:0.455744:0.000000
e) :@0.153198:0.491117:0.172068:0.491117:0.172068:0.474216:0.153198:0.474216:0.000000:0.000000:0.000000
Indica:@0.186442:0.491117:0.233100:0.491117:0.233100:0.474493:0.186442:0.474493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 si es una función par o impar.:@0.233100:0.491117:0.451228:0.491117:0.451228:0.474728:0.233100:0.474728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________________________:@0.186442:0.517311:0.492009:0.517311:0.492009:0.500411:0.186442:0.500411:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.119958:0.535649:0.123626:0.535649:0.123626:0.520750:0.119958:0.520750:0.000000
f) :@0.153198:0.556124:0.170023:0.556124:0.170023:0.539224:0.153198:0.539224:0.000000:0.000000:0.000000
Grafica:@0.186442:0.556124:0.239937:0.556124:0.239937:0.539500:0.186442:0.539500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la función.:@0.239937:0.556124:0.319729:0.556124:0.319729:0.539735:0.239937:0.539735:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.153198:0.763372:0.157013:0.763372:0.157013:0.746471:0.153198:0.746471:0.000000
–5:@0.295456:0.666934:0.307042:0.666934:0.307042:0.656505:0.295456:0.656505:0.000000:0.000000
–5:@0.322967:0.687854:0.334553:0.687854:0.334553:0.677425:0.322967:0.677425:0.000000:0.000000
0:@0.329252:0.666934:0.334975:0.666934:0.334975:0.656505:0.329252:0.656505:0.000000
5:@0.372465:0.666934:0.378188:0.666934:0.378188:0.656505:0.372465:0.656505:0.000000
5:@0.325899:0.631545:0.331621:0.631545:0.331621:0.621115:0.325899:0.621115:0.000000
10:@0.323037:0.603223:0.334483:0.603223:0.334483:0.592794:0.323037:0.592794:0.000000:0.000000
15:@0.322908:0.575059:0.334354:0.575059:0.334354:0.564630:0.322908:0.564630:0.000000:0.000000
y:@0.348062:0.570113:0.353222:0.570113:0.353222:0.559684:0.348062:0.559684:0.000000
x:@0.480175:0.649772:0.485206:0.649772:0.485206:0.639343:0.480175:0.639343:0.000000
10:@0.406907:0.666934:0.418352:0.666934:0.418352:0.656505:0.406907:0.656505:0.000000:0.000000
15:@0.445898:0.666934:0.457343:0.666934:0.457343:0.656505:0.445898:0.656505:0.000000:0.000000
–10:@0.253791:0.666934:0.271100:0.666934:0.271100:0.656505:0.253791:0.656505:0.000000:0.000000:0.000000
–10:@0.316904:0.716106:0.334213:0.716106:0.334213:0.705677:0.316904:0.705677:0.000000:0.000000:0.000000
–15:@0.215644:0.666934:0.232953:0.666934:0.232953:0.656505:0.215644:0.656505:0.000000:0.000000:0.000000
–15:@0.316904:0.744419:0.334213:0.744419:0.334213:0.733990:0.316904:0.733990:0.000000:0.000000:0.000000
Taller:@0.180593:0.130781:0.241488:0.130781:0.241488:0.096834:0.180593:0.096834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I.M.5.3.4. Halla gráfica y analíticamente el dominio, recorrido, monotonía, periodicidad, desplazamientos, máximos y mínimos de :@0.261615:0.108245:0.882515:0.108245:0.882515:0.097816:0.261615:0.097816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funciones trigonométricas para modelar movimientos circulares y comportamientos de fenómenos naturales, y discute su pertinencia; :@0.261615:0.118806:0.882411:0.118806:0.882411:0.108377:0.261615:0.108377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
emplea la tecnología para corroborar sus resultados. (J.3., I.2.):@0.261615:0.129367:0.544504:0.129367:0.544504:0.118938:0.261615:0.118938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3. :@0.512425:0.699137:0.531166:0.699137:0.531166:0.682002:0.512425:0.682002:0.000000:0.000000:0.000000
Responde:@0.545668:0.699137:0.622641:0.699137:0.622641:0.682513:0.545668:0.682513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 verdadero (V) o falso (F) a las si-:@0.622641:0.699137:0.884626:0.699137:0.884626:0.682748:0.622641:0.682748:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
guientes afirmaciones.:@0.545668:0.715734:0.710445:0.715734:0.710445:0.699345:0.545668:0.699345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.512425:0.916881:0.516147:0.916881:0.516147:0.899746:0.512425:0.899746:0.000000
Las funciones tangente y cotangente :@0.552786:0.751899:0.835057:0.751899:0.835057:0.735510:0.552786:0.735510:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tienen como recorrido  .:@0.552786:0.768495:0.740641:0.768495:0.740641:0.752106:0.552786:0.752106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.723054:0.768911:0.736359:0.768911:0.736359:0.752163:0.723054:0.752163:0.000000
La función tangente es una función :@0.552790:0.794703:0.835027:0.794703:0.835027:0.778315:0.552790:0.778315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
par y la función cotangente es una :@0.552790:0.811300:0.835007:0.811300:0.835007:0.794911:0.552790:0.794911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función impar.:@0.552790:0.827896:0.658360:0.827896:0.658360:0.811507:0.552790:0.811507:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para calcular el periodo de las funcio-:@0.552790:0.856345:0.831010:0.856345:0.831010:0.839956:0.552790:0.839956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nes tangente y cotangente se aplica la :@0.552790:0.872942:0.835088:0.872942:0.835088:0.856553:0.552790:0.856553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siguiente fórmula: :@0.552790:0.898099:0.688858:0.898099:0.688858:0.881710:0.552790:0.881710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
π:@0.718894:0.890486:0.729011:0.890486:0.733575:0.874913:0.723459:0.874913:0.000000
=:@0.704454:0.899012:0.714571:0.899012:0.714571:0.883439:0.704454:0.883439:0.000000
T:@0.691057:0.898334:0.699184:0.898334:0.699184:0.881973:0.691057:0.881973:0.000000
B:@0.721481:0.909260:0.730327:0.909260:0.730327:0.892899:0.721481:0.892899:0.000000
π:@0.282814:0.237043:0.292931:0.237043:0.297495:0.221470:0.287379:0.221470:0.000000
π:@0.326893:0.237043:0.337009:0.237043:0.341574:0.221470:0.331458:0.221470:0.000000
{:@0.266121:0.238809:0.274966:0.238809:0.274966:0.220433:0.266121:0.220433:0.000000
}:@0.385845:0.238809:0.394691:0.238809:0.394691:0.220433:0.385845:0.220433:0.000000
=:@0.225811:0.237043:0.235928:0.237043:0.235928:0.221470:0.225811:0.221470:0.000000
+:@0.298416:0.237043:0.308533:0.237043:0.308533:0.221470:0.298416:0.221470:0.000000
∈:@0.357532:0.237043:0.370671:0.237043:0.370671:0.221470:0.357532:0.221470:0.000000
Dom:@0.187814:0.236365:0.223166:0.236365:0.223166:0.220004:0.187814:0.220004:0.000000:0.000000:0.000000
k k:@0.320833:0.236365:0.353217:0.236365:0.353217:0.220004:0.320833:0.220004:0.000000:0.000000:0.000000
:@0.238846:0.237236:0.252151:0.237236:0.252151:0.220488:0.238846:0.220488:0.000000
:@0.374013:0.237236:0.386304:0.237236:0.386304:0.220488:0.374013:0.220488:0.000000
–2:@0.255180:0.236365:0.283853:0.236365:0.283853:0.219976:0.255180:0.219976:0.000000:0.000000
4:@0.311292:0.236365:0.320285:0.236365:0.320285:0.219976:0.311292:0.219976:0.000000
,:@0.341090:0.236365:0.344296:0.236365:0.344296:0.219976:0.341090:0.219976:0.000000
π:@0.224546:0.301620:0.234662:0.301620:0.239227:0.286047:0.229110:0.286047:0.000000
=:@0.202462:0.301620:0.212579:0.301620:0.212579:0.286047:0.202462:0.286047:0.000000
T:@0.189065:0.300943:0.197192:0.300943:0.197192:0.284581:0.189065:0.284581:0.000000
4:@0.215877:0.300943:0.224870:0.300943:0.224870:0.284554:0.215877:0.284554:0.000000
=:@0.201730:0.377588:0.211847:0.377588:0.211847:0.362015:0.201730:0.362015:0.000000
B:@0.189475:0.376910:0.198321:0.376910:0.198321:0.360549:0.189475:0.360549:0.000000
1:@0.217375:0.368390:0.226368:0.368390:0.226368:0.352002:0.217375:0.352002:0.000000
4:@0.216598:0.387833:0.225590:0.387833:0.225590:0.371444:0.216598:0.371444:0.000000
=:@0.218219:0.452161:0.228336:0.452161:0.228336:0.436588:0.218219:0.436588:0.000000
:@0.231248:0.452354:0.244552:0.452354:0.244552:0.435606:0.231248:0.435606:0.000000
Rec:@0.188680:0.451483:0.214902:0.451483:0.214902:0.435094:0.188680:0.435094:0.000000:0.000000:0.000000
Función impar:@0.186862:0.517362:0.293024:0.517362:0.293024:0.500973:0.186862:0.500973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Función impar:@0.582227:0.404465:0.688389:0.404465:0.688389:0.388076:0.582227:0.388076:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.856578:0.760194:0.865957:0.760194:0.865957:0.743805:0.856578:0.743805:0.000000
F:@0.857002:0.810910:0.865515:0.810910:0.865515:0.794521:0.857002:0.794521:0.000000
V:@0.856578:0.880435:0.865957:0.880435:0.865957:0.864046:0.856578:0.864046:0.000000
π:@0.294540:0.878003:0.304657:0.878003:0.309222:0.862431:0.299105:0.862431:0.000000
{:@0.269472:0.880981:0.278317:0.880981:0.278317:0.860113:0.269472:0.860113:0.000000
}:@0.352599:0.880981:0.361444:0.880981:0.361444:0.860113:0.352599:0.860113:0.000000
=:@0.229162:0.878003:0.239279:0.878003:0.239279:0.862431:0.229162:0.862431:0.000000
∈:@0.324285:0.878003:0.337424:0.878003:0.337424:0.862431:0.324285:0.862431:0.000000
Dom:@0.191154:0.877326:0.226517:0.877326:0.226517:0.860965:0.191154:0.860965:0.000000:0.000000:0.000000
k k:@0.288470:0.877326:0.319982:0.877326:0.319982:0.860965:0.288470:0.860965:0.000000:0.000000:0.000000
:@0.242197:0.878197:0.255502:0.878197:0.255502:0.861449:0.242197:0.861449:0.000000
:@0.340766:0.878197:0.353058:0.878197:0.353058:0.861449:0.340766:0.861449:0.000000
–4:@0.258531:0.877326:0.287941:0.877326:0.287941:0.860937:0.258531:0.860937:0.000000:0.000000
π:@0.619837:0.198462:0.629954:0.198462:0.634518:0.182890:0.624402:0.182890:0.000000
=:@0.597753:0.198462:0.607870:0.198462:0.607870:0.182890:0.597753:0.182890:0.000000
T:@0.584356:0.197785:0.592483:0.197785:0.592483:0.181424:0.584356:0.181424:0.000000
4:@0.611168:0.197785:0.620161:0.197785:0.620161:0.181396:0.611168:0.181396:0.000000
=:@0.597019:0.264075:0.607136:0.264075:0.607136:0.248502:0.597019:0.248502:0.000000
B:@0.584765:0.263397:0.593610:0.263397:0.593610:0.247036:0.584765:0.247036:0.000000
1:@0.612673:0.254871:0.621666:0.254871:0.621666:0.238482:0.612673:0.238482:0.000000
4:@0.611880:0.274317:0.620873:0.274317:0.620873:0.257928:0.611880:0.257928:0.000000
=:@0.610160:0.341003:0.620277:0.341003:0.620277:0.325430:0.610160:0.325430:0.000000
:@0.623188:0.341196:0.636493:0.341196:0.636493:0.324448:0.623188:0.324448:0.000000
Rec:@0.580620:0.340325:0.606843:0.340325:0.606843:0.323936:0.580620:0.323936:0.000000:0.000000:0.000000
(– 4π):@0.236404:0.652209:0.262719:0.652209:0.262719:0.641779:0.236404:0.641779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(4π):@0.428405:0.652209:0.446288:0.652209:0.446288:0.641779:0.428405:0.641779:0.000000:0.000000:0.000000:0.000000
(–π):@0.307890:0.652209:0.325914:0.652209:0.325914:0.641779:0.307890:0.641779:0.000000:0.000000:0.000000:0.000000
(π):@0.357599:0.652209:0.369760:0.652209:0.369760:0.641779:0.357599:0.641779:0.000000:0.000000:0.000000
(– 2π):@0.614995:0.556737:0.641309:0.556737:0.641309:0.546307:0.614995:0.546307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(6π):@0.823753:0.556737:0.841636:0.556737:0.841636:0.546307:0.823753:0.546307:0.000000:0.000000:0.000000:0.000000
(2π):@0.723279:0.556737:0.741162:0.556737:0.741162:0.546307:0.723279:0.546307:0.000000:0.000000:0.000000:0.000000
 ©:@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 :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000