﻿Funciones trigonométricas:@0.073089:0.043661:0.311884:0.043661:0.311884:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
46:@0.037229:0.974518:0.056728:0.974518:0.056728:0.957377:0.037229:0.957377:0.000000:0.000000
2.4 Transformaciones de las gráficas de funciones trigonométricas:@0.293660:0.136836:0.810112:0.136836:0.810112:0.119889:0.293660:0.119889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Funciones sinusoidales:@0.293660:0.164919:0.467844:0.164919:0.467844:0.148250:0.293660:0.148250:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean  ,  ,  ,       con     0,     0 funciones reales definidas como:  :@0.293660:0.190492:0.804401:0.190492:0.804401:0.174780:0.293660:0.174780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B C D:@0.333070:0.190492:0.394201:0.190492:0.394201:0.175057:0.333070:0.175057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.398084:0.190354:0.413418:0.190354:0.413418:0.176305:0.398084:0.176305:0.000000
R:@0.417283:0.189632:0.430573:0.189632:0.430573:0.176735:0.417283:0.176735:0.000000
A:@0.466007:0.190492:0.475892:0.190492:0.475892:0.175057:0.466007:0.175057:0.000000
?:@0.479776:0.191033:0.495109:0.191033:0.495109:0.175861:0.479776:0.175861:0.000000
B:@0.514934:0.190492:0.523769:0.190492:0.523769:0.175057:0.514934:0.175057:0.000000
?:@0.527653:0.191033:0.542986:0.191033:0.542986:0.175861:0.527653:0.175861:0.000000
y :@0.403367:0.216065:0.414080:0.216065:0.414080:0.200630:0.403367:0.200630:0.000000:0.000000
5:@0.414025:0.215510:0.429358:0.215510:0.429358:0.201795:0.414025:0.201795:0.000000
 :@0.429266:0.216065:0.433298:0.216065:0.433298:0.200353:0.429266:0.200353:0.000000
ASen Bx:@0.433224:0.216065:0.489366:0.216065:0.489366:0.200630:0.433224:0.200630:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(     )    ;        :@0.468345:0.216065:0.611240:0.216065:0.611240:0.200353:0.468345:0.200353:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.493268:0.215510:0.508602:0.215510:0.508602:0.201795:0.493268:0.201795:0.000000
C:@0.512467:0.216065:0.522370:0.216065:0.522370:0.200630:0.512467:0.200630:0.000000
1:@0.531040:0.215510:0.546373:0.215510:0.546373:0.201795:0.531040:0.201795:0.000000
D:@0.550239:0.216065:0.561762:0.216065:0.561762:0.200630:0.550239:0.200630:0.000000
y:@0.580611:0.216065:0.588084:0.216065:0.588084:0.200630:0.580611:0.200630:0.000000
5:@0.591968:0.215510:0.607301:0.215510:0.607301:0.201795:0.591968:0.201795:0.000000
ACos Bx:@0.611167:0.216065:0.666830:0.216065:0.666830:0.200630:0.611167:0.200630:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(     )    ,    :@0.645809:0.216065:0.758186:0.216065:0.758186:0.200353:0.645809:0.200353:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.670733:0.215510:0.686066:0.215510:0.686066:0.201795:0.670733:0.201795:0.000000
C:@0.689931:0.216065:0.699835:0.216065:0.699835:0.200630:0.689931:0.200630:0.000000
1:@0.708504:0.215510:0.723838:0.215510:0.723838:0.201795:0.708504:0.201795:0.000000
D:@0.727703:0.216065:0.739226:0.216065:0.739226:0.200630:0.727703:0.200630:0.000000
;:@0.758075:0.215510:0.770353:0.215510:0.770353:0.201795:0.758075:0.201795:0.000000
x:@0.770261:0.216065:0.777716:0.216065:0.777716:0.200630:0.770261:0.200630:0.000000
    .:@0.777642:0.216065:0.817199:0.216065:0.817199:0.200353:0.777642:0.200353:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.781600:0.215927:0.796933:0.215927:0.796933:0.201878:0.781600:0.201878:0.000000
R:@0.800798:0.215205:0.814088:0.215205:0.814088:0.202308:0.800798:0.202308:0.000000
Características:@0.293697:0.241638:0.403051:0.241638:0.403051:0.224969:0.293697:0.224969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Amplitud:@0.293697:0.267211:0.365726:0.267211:0.365726:0.250542:0.293697:0.250542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 | |, con     0, es la diferencia entre el valor máximo y mínimo de la función. :@0.365651:0.267211:0.930917:0.267211:0.930917:0.251498:0.365651:0.251498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.373897:0.267211:0.383782:0.267211:0.383782:0.251776:0.373897:0.251776:0.000000
A:@0.427260:0.267211:0.437145:0.267211:0.437145:0.251776:0.427260:0.251776:0.000000
?:@0.441489:0.267752:0.456822:0.267752:0.456822:0.252580:0.441489:0.252580:0.000000
Ejemplo:     3:@0.293697:0.283853:0.400109:0.283853:0.400109:0.268140:0.293697:0.268140:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.360570:0.283853:0.368044:0.283853:0.368044:0.268418:0.360570:0.268418:0.000000
5:@0.371928:0.283298:0.387261:0.283298:0.387261:0.269583:0.371928:0.269583:0.000000
Cos x:@0.400017:0.283853:0.446293:0.283853:0.446293:0.268418:0.400017:0.268418:0.000000:0.000000:0.000000:0.000000:0.000000
(2 )   1. La amplitud es 3.:@0.425143:0.283853:0.612474:0.283853:0.612474:0.268140:0.425143:0.268140:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.454963:0.283298:0.470296:0.283298:0.470296:0.269583:0.454963:0.269583:0.000000
•:@0.323781:0.309437:0.328328:0.309437:0.328328:0.293725:0.323781:0.293725:0.000000
Si    1 o si      1, la función sufre un proceso de dilatación.:@0.353914:0.309437:0.804006:0.309437:0.804006:0.293725:0.353914:0.293725:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.370079:0.309437:0.378914:0.309437:0.378914:0.294002:0.370079:0.294002:0.000000
.:@0.382798:0.308883:0.398131:0.308883:0.398131:0.295167:0.382798:0.295167:0.000000
B:@0.443008:0.309437:0.451844:0.309437:0.451844:0.294002:0.443008:0.294002:0.000000
, 2:@0.455728:0.308883:0.490260:0.308883:0.490260:0.295167:0.455728:0.295167:0.000000:0.000000:0.000000
•:@0.323781:0.335014:0.328328:0.335014:0.328328:0.319301:0.323781:0.319301:0.000000
Si:@0.353914:0.335014:0.366155:0.335014:0.366155:0.319301:0.353914:0.319301:0.000000:0.000000
2 , ,:@0.370079:0.334459:0.445420:0.334459:0.445420:0.320744:0.370079:0.320744:0.000000:0.000000:0.000000:0.000000:0.000000
1       1,  la función se contrae.:@0.385320:0.335014:0.623300:0.335014:0.623300:0.319301:0.385320:0.319301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.417367:0.335014:0.426202:0.335014:0.426202:0.319579:0.417367:0.319579:0.000000
Período (T:@0.293670:0.360587:0.372632:0.360587:0.372632:0.343917:0.293670:0.343917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
). Establece cuánto se requiere del dominio para que la función describa un :@0.372656:0.360587:0.930569:0.360587:0.930569:0.344874:0.372656:0.344874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciclo completo,   :@0.293670:0.380446:0.420851:0.382113:0.420851:0.366400:0.293670:0.364734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
T:@0.408702:0.382113:0.416820:0.382113:0.416820:0.366678:0.408702:0.366678:0.000000
5 :@0.420851:0.381558:0.440786:0.381558:0.440786:0.367843:0.420851:0.367843:0.000000:0.000000
2:@0.443488:0.375304:0.452471:0.375304:0.452471:0.359591:0.443488:0.359591:0.000000
p:@0.452471:0.374749:0.464749:0.374749:0.464749:0.361033:0.452471:0.361033:0.000000
B:@0.447884:0.389725:0.456720:0.389725:0.456720:0.374290:0.447884:0.374290:0.000000
.:@0.466275:0.380447:0.469478:0.380447:0.469478:0.364735:0.466275:0.364735:0.000000
Ejemplo: :@0.293660:0.406023:0.360681:0.406023:0.360681:0.390310:0.293660:0.390310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y :@0.360534:0.406023:0.371247:0.406023:0.371247:0.390588:0.360534:0.390588:0.000000:0.000000
5:@0.371191:0.405468:0.386525:0.405468:0.386525:0.391753:0.371191:0.391753:0.000000
 3Cos(2 )   1.       . Hasta   se completa un ciclo.:@0.386433:0.406023:0.759025:0.406023:0.759025:0.390310:0.386433:0.390310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.439777:0.406023:0.447232:0.406023:0.447232:0.390588:0.439777:0.390588:0.000000
1:@0.455902:0.405468:0.471235:0.405468:0.471235:0.391753:0.455902:0.391753:0.000000
T:@0.495017:0.406023:0.503135:0.406023:0.503135:0.390588:0.495017:0.390588:0.000000
5 p:@0.507019:0.405468:0.538495:0.405468:0.538495:0.391753:0.507019:0.391753:0.000000:0.000000:0.000000
p:@0.589888:0.405468:0.602166:0.405468:0.602166:0.391753:0.589888:0.391753:0.000000
Frecuencia:@0.293642:0.431596:0.375105:0.431596:0.375105:0.414926:0.293642:0.414926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Se relaciona con las veces que se repite el ciclo. Está determinada por el valor :@0.374928:0.431596:0.931087:0.431596:0.931087:0.415883:0.374928:0.415883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de  .:@0.293642:0.448238:0.328339:0.448238:0.328339:0.432525:0.293642:0.432525:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.316375:0.448238:0.325210:0.448238:0.325210:0.432802:0.316375:0.432802:0.000000
Ejemplo:     3Cos(2 )   1. Como   es 2, el ciclo se repite 2 veces.:@0.293642:0.473811:0.765337:0.473811:0.765337:0.458098:0.293642:0.458098:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.360534:0.473811:0.368007:0.473811:0.368007:0.458375:0.360534:0.458375:0.000000
5:@0.371891:0.473256:0.387224:0.473256:0.387224:0.459540:0.371891:0.459540:0.000000
x:@0.440476:0.473811:0.447931:0.473811:0.447931:0.458375:0.440476:0.458375:0.000000
1:@0.456601:0.473256:0.471934:0.473256:0.471934:0.459540:0.456601:0.459540:0.000000
B:@0.540446:0.473811:0.549282:0.473811:0.549282:0.458375:0.540446:0.458375:0.000000
Desplazamiento vertical:@0.293642:0.499384:0.476510:0.499384:0.476510:0.482714:0.293642:0.482714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Traslación vertical en   unidades.:@0.476352:0.499384:0.722634:0.499384:0.722634:0.483671:0.476352:0.483671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.637158:0.499384:0.648681:0.499384:0.648681:0.483948:0.637158:0.483948:0.000000
•:@0.323781:0.524970:0.328328:0.524970:0.328328:0.509258:0.323781:0.509258:0.000000
Si    0, la gráfica se desplaza hacia arriba   unidades.:@0.353914:0.524970:0.748837:0.524970:0.748837:0.509258:0.353914:0.509258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.370079:0.524970:0.381602:0.524970:0.381602:0.509535:0.370079:0.509535:0.000000
.:@0.385486:0.524416:0.400819:0.524416:0.400819:0.510700:0.385486:0.510700:0.000000
D:@0.663361:0.524970:0.674884:0.524970:0.674884:0.509535:0.663361:0.509535:0.000000
•:@0.323781:0.550546:0.328328:0.550546:0.328328:0.534833:0.323781:0.534833:0.000000
Si    0, la gráfica se desplaza hacia abajo   unidades.:@0.353914:0.550546:0.747678:0.550546:0.747678:0.534833:0.353914:0.534833:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.370079:0.550546:0.381602:0.550546:0.381602:0.535111:0.370079:0.535111:0.000000
,:@0.385486:0.549991:0.400819:0.549991:0.400819:0.536276:0.385486:0.536276:0.000000
D:@0.662202:0.550546:0.673725:0.550546:0.673725:0.535111:0.662202:0.535111:0.000000
Desfase:@0.293652:0.578393:0.353138:0.578393:0.353138:0.561724:0.293652:0.561724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: :@0.353089:0.578393:0.360304:0.578393:0.360304:0.562681:0.353089:0.562681:0.000000:0.000000
2:@0.360683:0.569908:0.376016:0.569908:0.376016:0.556193:0.360683:0.556193:0.000000
C:@0.376016:0.570463:0.385919:0.570463:0.385919:0.555028:0.376016:0.555028:0.000000
B:@0.368690:0.584747:0.377525:0.584747:0.377525:0.569312:0.368690:0.569312:0.000000
, desplazamiento horizontal de :@0.387137:0.578392:0.617071:0.578392:0.617071:0.562679:0.387137:0.562679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.617281:0.572087:0.632615:0.572087:0.632615:0.558371:0.617281:0.558371:0.000000
C:@0.632615:0.572642:0.642518:0.572642:0.642518:0.557206:0.632615:0.557206:0.000000
B:@0.625289:0.586926:0.634124:0.586926:0.634124:0.571491:0.625289:0.571491:0.000000
 unidades a la derecha o a la izquierda, :@0.643736:0.578392:0.931147:0.578392:0.931147:0.562679:0.643736:0.562679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
según si   es negativo o positivo. :@0.293660:0.597303:0.536763:0.597303:0.536763:0.581591:0.293660:0.581591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.357165:0.597303:0.367068:0.597303:0.367068:0.581868:0.357165:0.581868:0.000000
Ejemplo:     4:@0.293660:0.622876:0.400422:0.622876:0.400422:0.607163:0.293660:0.607163:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.360663:0.622876:0.368136:0.622876:0.368136:0.607441:0.360663:0.607441:0.000000
5:@0.372130:0.622321:0.387463:0.622321:0.387463:0.608606:0.372130:0.608606:0.000000
Sen:@0.400330:0.622876:0.425758:0.622876:0.425758:0.607441:0.400330:0.607441:0.000000:0.000000:0.000000
x:@0.429807:0.623144:0.436264:0.623144:0.436264:0.609776:0.429807:0.609776:0.000000
 :@0.436264:0.623144:0.439755:0.623144:0.439755:0.609536:0.436264:0.609536:0.000000
2:@0.439755:0.622664:0.453035:0.622664:0.453035:0.610785:0.439755:0.610785:0.000000
p:@0.459936:0.616766:0.470570:0.616766:0.470570:0.604887:0.459936:0.604887:0.000000
2:@0.460478:0.629738:0.468258:0.629738:0.468258:0.616130:0.460478:0.616130:0.000000
1:@0.426801:0.625589:0.430662:0.625589:0.430662:0.608909:0.426801:0.608909:0.000000
2:@0.471934:0.625589:0.475795:0.625589:0.475795:0.608909:0.471934:0.608909:0.000000
; la gráfica de la función se desplaza  /2 unidades a la derecha :@0.475231:0.622880:0.931091:0.622880:0.931091:0.607167:0.475231:0.607167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.736755:0.622325:0.749032:0.622325:0.749032:0.608610:0.736755:0.608610:0.000000
con relación al :@0.293655:0.639522:0.402895:0.639522:0.402895:0.623809:0.293655:0.623809:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sen x:@0.402718:0.639522:0.440343:0.639522:0.440343:0.624086:0.402718:0.624086:0.000000:0.000000:0.000000:0.000000:0.000000
( ).:@0.428083:0.639522:0.448276:0.639522:0.448276:0.623809:0.428083:0.623809:0.000000:0.000000:0.000000:0.000000
Ejercicio resuelto:@0.293655:0.665095:0.422237:0.665095:0.422237:0.648425:0.293655:0.648425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Grafiquemos la función  ( )    3Sen 2  :@0.293655:0.691444:0.587982:0.690958:0.587982:0.675245:0.293655:0.675732:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.466683:0.691444:0.483563:0.691444:0.483563:0.676009:0.466683:0.676009:0.000000:0.000000:0.000000
5 2:@0.492233:0.690890:0.526765:0.690890:0.526765:0.677174:0.492233:0.677174:0.000000:0.000000:0.000000
x:@0.576496:0.690958:0.583951:0.690958:0.583951:0.675522:0.576496:0.675522:0.000000
2:@0.587982:0.690403:0.603315:0.690403:0.603315:0.676687:0.587982:0.676687:0.000000
p:@0.609549:0.683191:0.621826:0.683191:0.621826:0.669476:0.609549:0.669476:0.000000
3:@0.610175:0.698169:0.619157:0.698169:0.619157:0.682456:0.610175:0.682456:0.000000
1:@0.564043:0.693780:0.568501:0.693780:0.568501:0.674521:0.564043:0.674521:0.000000
2:@0.622839:0.693780:0.627297:0.693780:0.627297:0.674521:0.622839:0.674521:0.000000
 ,   :@0.626649:0.691451:0.643952:0.691451:0.643952:0.675738:0.626649:0.675738:0.000000:0.000000:0.000000:0.000000:0.000000
;:@0.643843:0.690896:0.656121:0.690896:0.656121:0.677180:0.643843:0.677180:0.000000
x:@0.656029:0.691451:0.663484:0.691451:0.663484:0.676015:0.656029:0.676015:0.000000
    .:@0.663410:0.691451:0.702967:0.691451:0.702967:0.675738:0.663410:0.675738:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.667368:0.691312:0.682701:0.691312:0.682701:0.677263:0.667368:0.677263:0.000000
R:@0.686566:0.690591:0.699856:0.690591:0.699856:0.677693:0.686566:0.677693:0.000000
Amplitud   | |   | 3|   3.      Período   :@0.293663:0.721156:0.588872:0.721908:0.588872:0.706195:0.293663:0.705444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.366206:0.720602:0.381540:0.720602:0.381540:0.706886:0.366206:0.706886:0.000000
A:@0.389216:0.721156:0.399100:0.721156:0.399100:0.705721:0.389216:0.705721:0.000000
5 2 5:@0.406794:0.720602:0.477055:0.720602:0.477055:0.706886:0.406794:0.706886:0.000000:0.000000:0.000000:0.000000:0.000000
T:@0.576724:0.721908:0.584841:0.721908:0.584841:0.706472:0.576724:0.706472:0.000000
5 :@0.588872:0.721353:0.608807:0.721353:0.608807:0.707637:0.588872:0.707637:0.000000:0.000000
2:@0.611510:0.715098:0.620493:0.715098:0.620493:0.699386:0.611510:0.699386:0.000000
p:@0.620491:0.714544:0.632769:0.714544:0.632769:0.700828:0.620491:0.700828:0.000000
B:@0.615906:0.729521:0.624741:0.729521:0.624741:0.714086:0.615906:0.714086:0.000000
5 :@0.638120:0.721353:0.658055:0.721353:0.658055:0.707637:0.638120:0.707637:0.000000:0.000000
5 p :@0.686678:0.721353:0.723491:0.721353:0.723491:0.707637:0.686678:0.707637:0.000000:0.000000:0.000000:0.000000
2:@0.661091:0.715098:0.670073:0.715098:0.670073:0.699386:0.661091:0.699386:0.000000
p:@0.670075:0.714544:0.682353:0.714544:0.682353:0.700828:0.670075:0.700828:0.000000
2:@0.665490:0.729521:0.674473:0.729521:0.674473:0.713809:0.665490:0.713809:0.000000
Desfase :@0.293660:0.758540:0.353955:0.758540:0.353955:0.742827:0.293660:0.742827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 :@0.353830:0.759586:0.373765:0.759586:0.373765:0.745871:0.353830:0.745871:0.000000:0.000000
2:@0.372605:0.752777:0.387939:0.752777:0.387939:0.739061:0.372605:0.739061:0.000000
C:@0.387939:0.753332:0.397842:0.753332:0.397842:0.737896:0.387939:0.737896:0.000000
B:@0.380472:0.767753:0.389308:0.767753:0.389308:0.752318:0.380472:0.752318:0.000000
5 :@0.403476:0.759724:0.423411:0.759724:0.423411:0.746008:0.403476:0.746008:0.000000:0.000000
5 :@0.484505:0.759030:0.504440:0.759030:0.504440:0.745315:0.484505:0.745315:0.000000:0.000000
p:@0.460395:0.739504:0.472672:0.739504:0.472672:0.725788:0.460395:0.725788:0.000000
3:@0.462660:0.753778:0.471643:0.753778:0.471643:0.738065:0.462660:0.738065:0.000000
2:@0.448726:0.767823:0.457709:0.767823:0.457709:0.752110:0.448726:0.752110:0.000000
1:@0.439899:0.747647:0.444357:0.747647:0.444357:0.728388:0.439899:0.728388:0.000000
22:@0.422780:0.747776:0.457178:0.747624:0.457178:0.732662:0.422780:0.732813:0.000000:0.000000
2:@0.473879:0.748161:0.478337:0.748161:0.478337:0.728902:0.473879:0.728902:0.000000
p:@0.501768:0.751931:0.514045:0.751931:0.514045:0.738215:0.501768:0.738215:0.000000
6:@0.503707:0.767823:0.512690:0.767823:0.512690:0.752110:0.503707:0.752110:0.000000
. Vamos a graficar cada función.:@0.515447:0.758540:0.741798:0.758540:0.741798:0.742827:0.515447:0.742827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Figura 5.4.     :@0.369739:0.940005:0.448776:0.940005:0.448776:0.928578:0.369739:0.928578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.426326:0.940005:0.431761:0.940005:0.431761:0.928780:0.426326:0.928780:0.000000
5:@0.434693:0.939602:0.445845:0.939602:0.445845:0.929627:0.434693:0.929627:0.000000
Sen x:@0.448776:0.940005:0.476340:0.940005:0.476340:0.928780:0.448776:0.928780:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.467371:0.940005:0.479888:0.940005:0.479888:0.928578:0.467371:0.928578:0.000000:0.000000:0.000000
2:@0.287785:0.804687:0.294318:0.804687:0.294318:0.793260:0.287785:0.793260:0.000000
1:@0.287785:0.831485:0.294318:0.831485:0.294318:0.820058:0.287785:0.820058:0.000000
0:@0.291132:0.851980:0.297665:0.851980:0.297665:0.840553:0.291132:0.840553:0.000000
2:@0.276633:0.884679:0.287785:0.884679:0.287785:0.874704:0.276633:0.874704:0.000000
1:@0.287785:0.885082:0.294318:0.885082:0.294318:0.873655:0.287785:0.873655:0.000000
2:@0.276633:0.911477:0.287785:0.911477:0.287785:0.901502:0.276633:0.901502:0.000000
2:@0.287785:0.911880:0.294318:0.911880:0.294318:0.900453:0.287785:0.900453:0.000000
p:@0.356974:0.866595:0.365904:0.866595:0.365904:0.856620:0.356974:0.856620:0.000000
2:@0.230399:0.867099:0.241551:0.867099:0.241551:0.857124:0.230399:0.857124:0.000000
π:@0.241551:0.867502:0.248606:0.867502:0.248606:0.856075:0.241551:0.856075:0.000000
2:@0.172139:0.867099:0.183290:0.867099:0.183290:0.857124:0.172139:0.857124:0.000000
2π:@0.183290:0.867502:0.196878:0.867502:0.196878:0.856075:0.183290:0.856075:0.000000:0.000000
2:@0.122727:0.867099:0.133878:0.867099:0.133878:0.857124:0.122727:0.857124:0.000000
3π:@0.133878:0.867502:0.147466:0.867502:0.147466:0.856075:0.133878:0.856075:0.000000:0.000000
2:@0.414766:0.867502:0.421299:0.867502:0.421299:0.856075:0.414766:0.856075:0.000000
p:@0.421299:0.867099:0.430229:0.867099:0.430229:0.857124:0.421299:0.857124:0.000000
3:@0.465691:0.867502:0.472224:0.867502:0.472224:0.856075:0.465691:0.856075:0.000000
p:@0.472224:0.867099:0.481153:0.867099:0.481153:0.857124:0.472224:0.857124:0.000000
Figura 5.5.     :@0.753363:0.940005:0.832399:0.940005:0.832399:0.928578:0.753363:0.928578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.809948:0.940005:0.815384:0.940005:0.815384:0.928780:0.809948:0.928780:0.000000
5:@0.818315:0.939602:0.829467:0.939602:0.829467:0.929627:0.818315:0.929627:0.000000
Sen x:@0.832399:0.940005:0.866496:0.940005:0.866496:0.928780:0.832399:0.928780:0.000000:0.000000:0.000000:0.000000:0.000000
(2 ):@0.850993:0.940005:0.870043:0.940005:0.870043:0.928578:0.850993:0.928578:0.000000:0.000000:0.000000:0.000000
2:@0.676683:0.804687:0.683216:0.804687:0.683216:0.793260:0.676683:0.793260:0.000000
1:@0.676683:0.831485:0.683216:0.831485:0.683216:0.820058:0.676683:0.820058:0.000000
0:@0.680030:0.851980:0.686563:0.851980:0.686563:0.840553:0.680030:0.840553:0.000000
2:@0.665532:0.884679:0.676683:0.884679:0.676683:0.874704:0.665532:0.874704:0.000000
1:@0.676683:0.885082:0.683216:0.885082:0.683216:0.873655:0.676683:0.873655:0.000000
2:@0.665532:0.911477:0.676683:0.911477:0.676683:0.901502:0.665532:0.901502:0.000000
2:@0.676683:0.911880:0.683216:0.911880:0.683216:0.900453:0.676683:0.900453:0.000000
p:@0.745871:0.866595:0.754800:0.866595:0.754800:0.856620:0.745871:0.856620:0.000000
2p:@0.619470:0.866595:0.639551:0.866595:0.639551:0.856620:0.619470:0.856620:0.000000:0.000000
2 p:@0.561049:0.867099:0.587662:0.867099:0.587662:0.857124:0.561049:0.857124:0.000000:0.000000:0.000000
2:@0.572200:0.867502:0.578733:0.867502:0.578733:0.856075:0.572200:0.856075:0.000000
2 p:@0.511075:0.867099:0.537688:0.867099:0.537688:0.857124:0.511075:0.857124:0.000000:0.000000:0.000000
3:@0.522226:0.867502:0.528759:0.867502:0.528759:0.856075:0.522226:0.856075:0.000000
2:@0.801896:0.867502:0.808429:0.867502:0.808429:0.856075:0.801896:0.856075:0.000000
p:@0.808429:0.867099:0.817358:0.867099:0.817358:0.857124:0.808429:0.857124:0.000000
3:@0.852821:0.867502:0.859354:0.867502:0.859354:0.856075:0.852821:0.856075:0.000000
p:@0.859354:0.867099:0.868283:0.867099:0.868283:0.857124:0.859354:0.857124:0.000000
DBA 4 (Ev. 2) Explora, en una situación o fenómeno de variación periódica, valores, :@0.469956:0.966323:0.904714:0.966323:0.904714:0.954896:0.469956:0.954896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
condiciones, relaciones o comportamientos, a través de diferentes representaciones.:@0.469956:0.976409:0.913626:0.976409:0.913626:0.964982:0.469956:0.964982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las funciones :@0.082576:0.189539:0.175867:0.189539:0.175867:0.175255:0.082576:0.175255:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trigonométricas no :@0.082576:0.203407:0.213070:0.203407:0.213070:0.189123:0.082576:0.189123:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
solo son herramientas :@0.082576:0.217276:0.231902:0.217276:0.231902:0.202991:0.082576:0.202991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemáticas; también :@0.082576:0.231144:0.233592:0.231144:0.233592:0.216859:0.082576:0.216859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nos ayudan a entender :@0.082576:0.245012:0.238407:0.245012:0.238407:0.230728:0.082576:0.230728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cómo funciona el cuerpo :@0.082576:0.258880:0.252717:0.258880:0.252717:0.244596:0.082576:0.244596:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
humano. Por ejemplo, :@0.082576:0.272748:0.231539:0.272748:0.231539:0.258464:0.082576:0.258464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la actividad eléctrica de :@0.082576:0.286617:0.240958:0.286617:0.240958:0.272332:0.082576:0.272332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tu corazón se puede :@0.082576:0.300485:0.221276:0.300485:0.221276:0.286200:0.082576:0.286200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
representar con funciones :@0.082576:0.314353:0.258721:0.314353:0.258721:0.300069:0.082576:0.300069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como el seno y el coseno.:@0.082576:0.328221:0.252386:0.328221:0.252386:0.313937:0.082576:0.313937:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Esto muestra que las :@0.082576:0.453035:0.222079:0.453035:0.222079:0.438751:0.082576:0.438751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemáticas no están :@0.082576:0.466903:0.232019:0.466903:0.232019:0.452619:0.082576:0.452619:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
solo en los libros, sino :@0.082576:0.480771:0.229235:0.480771:0.229235:0.466487:0.082576:0.466487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
también en cada latido :@0.082576:0.494639:0.238786:0.494639:0.238786:0.480355:0.082576:0.480355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que das. Cuida tu :@0.082576:0.508508:0.200452:0.508508:0.200452:0.494223:0.082576:0.494223:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
corazón con ejercicio, :@0.082576:0.522376:0.228860:0.522376:0.228860:0.508092:0.082576:0.508092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
buena alimentación y :@0.082576:0.536244:0.229499:0.536244:0.229499:0.521960:0.082576:0.521960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
menos estrés. Cada latido :@0.082576:0.550112:0.254498:0.550112:0.254498:0.535828:0.082576:0.535828:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuenta, igual que en una :@0.082576:0.563980:0.249714:0.563980:0.249714:0.549696:0.082576:0.549696:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función trigonométrica :@0.082576:0.577849:0.239760:0.577849:0.239760:0.563564:0.082576:0.563564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
equilibrada.:@0.082576:0.591717:0.159836:0.591717:0.159836:0.577433:0.082576:0.577433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cátedra :@0.078581:0.138751:0.138160:0.138751:0.138160:0.123345:0.078581:0.123345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de salud y :@0.078581:0.153880:0.154118:0.153880:0.154118:0.138474:0.078581:0.138474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bienestar:@0.078581:0.169009:0.146269:0.169009:0.146269:0.153603:0.078581:0.153603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000