45:@0.943272:0.974518:0.962770:0.974518:0.962770:0.957377:0.943272:0.957377:0.000000:0.000000
Pensamiento espacial, numérico y variacional:@0.525225:0.043660:0.930049:0.043660:0.930049:0.024915:0.525225:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las características de la :@0.744288:0.179607:0.900211:0.179607:0.900211:0.165323:0.744288:0.165323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función seno son::@0.744288:0.194736:0.860873:0.194736:0.860873:0.180452:0.744288:0.180452:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. Dominio: :@0.749032:0.209865:0.827775:0.209865:0.827775:0.195581:0.749032:0.195581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.749032:0.224994:0.752697:0.224994:0.752697:0.210710:0.749032:0.210710:0.000000
Dom Sen x:@0.763263:0.224994:0.838364:0.224994:0.838364:0.210962:0.763263:0.210962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.795442:0.224994:0.799876:0.224994:0.799876:0.210710:0.795442:0.210710:0.000000
)( ))    .:@0.822869:0.224994:0.882977:0.224994:0.882977:0.210710:0.822869:0.210710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.850613:0.224490:0.864553:0.224490:0.864553:0.212021:0.850613:0.212021:0.000000
R:@0.868067:0.224212:0.880149:0.224212:0.880149:0.212487:0.868067:0.212487:0.000000
2. Recorrido::@0.749032:0.240123:0.830188:0.240123:0.830188:0.225839:0.749032:0.225839:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.749032:0.255252:0.752697:0.255252:0.752697:0.240967:0.749032:0.240967:0.000000
Rec Sen x:@0.763263:0.255252:0.828173:0.255252:0.828173:0.241220:0.763263:0.241220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.785251:0.255252:0.789685:0.255252:0.789685:0.240967:0.785251:0.240967:0.000000
)( ))   :@0.812678:0.255252:0.857943:0.255252:0.857943:0.240967:0.812678:0.240967:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 2:@0.840422:0.254747:0.875446:0.254747:0.875446:0.242279:0.840422:0.242279:0.000000:0.000000:0.000000
F:@0.857876:0.255781:0.861591:0.255781:0.861591:0.239732:0.857876:0.239732:0.000000
1, 1 . :@0.875363:0.255252:0.908178:0.255252:0.908178:0.240967:0.875363:0.240967:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
G:@0.897970:0.255781:0.901685:0.255781:0.901685:0.239732:0.897970:0.239732:0.000000
3. El período es 2 .:@0.749032:0.270381:0.873825:0.270381:0.873825:0.256096:0.749032:0.256096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.859835:0.269876:0.870997:0.269876:0.870997:0.257408:0.859835:0.257408:0.000000
4. La función seno es :@0.749032:0.285510:0.889530:0.285510:0.889530:0.271225:0.749032:0.271225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
impar.:@0.763263:0.300639:0.804055:0.300639:0.804055:0.286354:0.763263:0.286354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5. La gráfica de  :@0.749032:0.315767:0.853652:0.315767:0.853652:0.301483:0.749032:0.301483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.763256:0.330896:0.770050:0.330896:0.770050:0.316864:0.763256:0.316864:0.000000
   :@0.769983:0.330896:0.791101:0.330896:0.791101:0.316612:0.769983:0.316612:0.000000:0.000000:0.000000
5:@0.773581:0.330392:0.787520:0.330392:0.787520:0.317923:0.773581:0.317923:0.000000
Sen x:@0.791034:0.330896:0.825238:0.330896:0.825238:0.316864:0.791034:0.316864:0.000000:0.000000:0.000000:0.000000:0.000000
( ) intercepta :@0.814093:0.330896:0.904175:0.330896:0.904175:0.316612:0.814093:0.316612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al eje   en los puntos :@0.763256:0.346025:0.906056:0.346025:0.906056:0.331741:0.763256:0.331741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.801024:0.346025:0.809257:0.346025:0.809257:0.331993:0.801024:0.331993:0.000000
cuyas abscisas son     :@0.763239:0.361154:0.916538:0.361154:0.916538:0.346870:0.763239:0.346870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.888626:0.361154:0.895403:0.361154:0.895403:0.347122:0.888626:0.347122:0.000000
5:@0.898934:0.360650:0.912873:0.360650:0.912873:0.348181:0.898934:0.348181:0.000000
n:@0.763239:0.376283:0.771874:0.376283:0.771874:0.362251:0.763239:0.362251:0.000000
p:@0.771807:0.375779:0.782968:0.375779:0.782968:0.363310:0.771807:0.363310:0.000000
 para todo número :@0.782885:0.376283:0.911136:0.376283:0.911136:0.361999:0.782885:0.361999:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entero  .:@0.763239:0.391412:0.821791:0.391412:0.821791:0.377128:0.763239:0.377128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.810312:0.391412:0.818946:0.391412:0.818946:0.377380:0.810312:0.377380:0.000000
6. El valor máximo de :@0.749032:0.406541:0.892475:0.406541:0.892475:0.392257:0.749032:0.392257:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sen x:@0.763263:0.421670:0.797467:0.421670:0.797467:0.407638:0.763263:0.407638:0.000000:0.000000:0.000000:0.000000:0.000000
( ) es 1, y el valor :@0.786322:0.421670:0.899694:0.421670:0.899694:0.407386:0.786322:0.407386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mínimo es  1.:@0.763263:0.436799:0.861357:0.436799:0.861357:0.422515:0.763263:0.422515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.836490:0.436295:0.850429:0.436295:0.850429:0.423826:0.836490:0.423826:0.000000
7. La amplitud ( ) de la :@0.749032:0.451928:0.902219:0.451928:0.902219:0.437644:0.749032:0.437644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.849909:0.451928:0.858895:0.451928:0.858895:0.437896:0.849909:0.437896:0.000000
función  :@0.763261:0.467057:0.821076:0.467057:0.821076:0.452773:0.763261:0.452773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.763261:0.482186:0.770055:0.482186:0.770055:0.468154:0.763261:0.468154:0.000000
   :@0.769988:0.482186:0.791106:0.482186:0.791106:0.467902:0.769988:0.467902:0.000000:0.000000:0.000000
5:@0.773586:0.481682:0.787525:0.481682:0.787525:0.469213:0.773586:0.469213:0.000000
Sen x:@0.791039:0.482186:0.825243:0.482186:0.825243:0.468154:0.791039:0.468154:0.000000:0.000000:0.000000:0.000000:0.000000
( ) es 1.:@0.814098:0.482186:0.861974:0.482186:0.861974:0.467902:0.814098:0.467902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las características de la :@0.749037:0.626617:0.904960:0.626617:0.904960:0.612333:0.749037:0.612333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función coseno son::@0.763261:0.641746:0.896078:0.641746:0.896078:0.627461:0.763261:0.627461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. Dominio::@0.749032:0.656868:0.824110:0.656868:0.824110:0.642584:0.749032:0.642584:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.749032:0.671997:0.752697:0.671997:0.752697:0.657713:0.749032:0.657713:0.000000
Dom Cos x:@0.763263:0.671997:0.838147:0.671997:0.838147:0.657965:0.763263:0.657965:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.795442:0.671997:0.799876:0.671997:0.799876:0.657713:0.795442:0.657713:0.000000
)( )    .:@0.822651:0.671997:0.878392:0.671997:0.878392:0.657713:0.822651:0.657713:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.846028:0.671493:0.859968:0.671493:0.859968:0.659024:0.846028:0.659024:0.000000
R:@0.863482:0.671216:0.875564:0.671216:0.875564:0.659491:0.863482:0.659491:0.000000
2. Recorrido::@0.749032:0.687126:0.830188:0.687126:0.830188:0.672842:0.749032:0.672842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.749032:0.702255:0.752697:0.702255:0.752697:0.687971:0.749032:0.687971:0.000000
Rec Cos x:@0.763263:0.702255:0.827956:0.702255:0.827956:0.688223:0.763263:0.688223:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.785251:0.702255:0.789685:0.702255:0.789685:0.687971:0.785251:0.687971:0.000000
)( )   :@0.812460:0.702255:0.853358:0.702255:0.853358:0.687971:0.812460:0.687971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 2:@0.835837:0.701751:0.870861:0.701751:0.870861:0.689282:0.835837:0.689282:0.000000:0.000000:0.000000
F:@0.853291:0.702785:0.857006:0.702785:0.857006:0.686735:0.853291:0.686735:0.000000
1, 1 . :@0.870778:0.702255:0.903593:0.702255:0.903593:0.687971:0.870778:0.687971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
G:@0.893385:0.702785:0.897100:0.702785:0.897100:0.686735:0.893385:0.686735:0.000000
3. El período es 2 .:@0.749032:0.717384:0.873825:0.717384:0.873825:0.703100:0.749032:0.703100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.859835:0.716880:0.870997:0.716880:0.870997:0.704411:0.859835:0.704411:0.000000
4. La función coseno es :@0.749032:0.732513:0.905762:0.732513:0.905762:0.718229:0.749032:0.718229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
par.:@0.763263:0.747642:0.786985:0.747642:0.786985:0.733358:0.763263:0.733358:0.000000:0.000000:0.000000:0.000000
5. La gráfica de     :@0.749032:0.762771:0.877833:0.762771:0.877833:0.748487:0.749032:0.748487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.849988:0.762771:0.856782:0.762771:0.856782:0.748739:0.849988:0.748739:0.000000
5:@0.860312:0.762267:0.874252:0.762267:0.874252:0.749798:0.860312:0.749798:0.000000
Cos x:@0.877766:0.762771:0.911752:0.762771:0.911752:0.748739:0.877766:0.748739:0.000000:0.000000:0.000000:0.000000:0.000000
( ) :@0.900608:0.762771:0.919785:0.762771:0.919785:0.748487:0.900608:0.748487:0.000000:0.000000:0.000000:0.000000
intercepta al eje   :@0.763273:0.777900:0.883790:0.777900:0.883790:0.763616:0.763273:0.763616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
X:@0.871892:0.777900:0.880125:0.777900:0.880125:0.763868:0.871892:0.763868:0.000000
en los puntos cuyas :@0.763273:0.793029:0.897354:0.793029:0.897354:0.778745:0.763273:0.778745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
abscisas son:@0.763273:0.808158:0.844432:0.808158:0.844432:0.793873:0.763273:0.793873:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.749032:0.827392:0.752697:0.827392:0.752697:0.813107:0.749032:0.813107:0.000000
x:@0.763263:0.827392:0.770040:0.827392:0.770040:0.813360:0.763263:0.813360:0.000000
       :@0.769973:0.827392:0.825057:0.827389:0.825057:0.813105:0.769973:0.813107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.773571:0.826887:0.787510:0.826887:0.787510:0.814419:0.773571:0.814419:0.000000
p:@0.791653:0.820236:0.803372:0.820236:0.803372:0.807144:0.791653:0.807144:0.000000
2:@0.793430:0.835571:0.801597:0.835571:0.801597:0.821287:0.793430:0.821287:0.000000
1 p:@0.807537:0.826885:0.844720:0.826885:0.844720:0.814416:0.807537:0.814416:0.000000:0.000000:0.000000
n:@0.824991:0.827389:0.833625:0.827389:0.833625:0.813357:0.824991:0.813357:0.000000
  para todo número :@0.749032:0.842521:0.887910:0.842521:0.887910:0.828236:0.749032:0.828236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entero  .:@0.763263:0.857650:0.821814:0.857650:0.821814:0.843365:0.763263:0.843365:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.810335:0.857650:0.818970:0.857650:0.818970:0.843617:0.810335:0.843617:0.000000
6. El valor máximo de :@0.749032:0.872778:0.892475:0.872778:0.892475:0.858494:0.749032:0.858494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cos x:@0.763263:0.887907:0.797249:0.887907:0.797249:0.873875:0.763263:0.873875:0.000000:0.000000:0.000000:0.000000:0.000000
( ) es 1, y el valor :@0.786104:0.887907:0.899476:0.887907:0.899476:0.873623:0.786104:0.873623:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mínimo es  1.:@0.763263:0.903036:0.861357:0.903036:0.861357:0.888752:0.763263:0.888752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.836490:0.902532:0.850429:0.902532:0.850429:0.890063:0.836490:0.890063:0.000000
7. La amplitud ( ) de la :@0.749032:0.918165:0.902219:0.918165:0.902219:0.903881:0.749032:0.903881:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.849909:0.918165:0.858895:0.918165:0.858895:0.904133:0.849909:0.904133:0.000000
función     :@0.763261:0.933294:0.845257:0.933294:0.845257:0.919010:0.763261:0.919010:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.817412:0.933294:0.824206:0.933294:0.824206:0.919262:0.817412:0.919262:0.000000
5:@0.827737:0.932790:0.841676:0.932790:0.841676:0.920321:0.827737:0.920321:0.000000
Cos x:@0.845190:0.933294:0.879176:0.933294:0.879176:0.919262:0.845190:0.919262:0.000000:0.000000:0.000000:0.000000:0.000000
( ) es 1.:@0.868032:0.933294:0.915907:0.933294:0.915907:0.919010:0.868032:0.919010:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.740302:0.140853:0.838993:0.140853:0.838993:0.125447:0.740302:0.125447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.740302:0.155982:0.828916:0.155982:0.828916:0.140575:0.740302:0.140575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.740302:0.587863:0.838993:0.587863:0.838993:0.572456:0.740302:0.572456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.740302:0.602992:0.828916:0.602992:0.828916:0.587585:0.740302:0.587585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Además, de las relaciones trigonométricas, se sabe que :@0.073089:0.136836:0.477316:0.136836:0.477316:0.121124:0.073089:0.121124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sen x:@0.477279:0.136836:0.514904:0.136836:0.514904:0.121401:0.477279:0.121401:0.000000:0.000000:0.000000:0.000000:0.000000
( )   :@0.502644:0.136836:0.543196:0.136836:0.543196:0.121124:0.502644:0.121124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.523923:0.136698:0.539256:0.136698:0.539256:0.122649:0.523923:0.122649:0.000000
F:@0.543453:0.137419:0.547540:0.137419:0.547540:0.119764:0.543453:0.119764:0.000000
2:@0.547448:0.136281:0.562781:0.136281:0.562781:0.122566:0.547448:0.122566:0.000000
1, 1 , :@0.562689:0.136836:0.599062:0.136836:0.599062:0.121124:0.562689:0.121124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
G:@0.587907:0.137419:0.591993:0.137419:0.591993:0.119764:0.587907:0.119764:0.000000
;:@0.599319:0.136281:0.611597:0.136281:0.611597:0.122566:0.599319:0.122566:0.000000
x:@0.611505:0.136836:0.618960:0.136836:0.618960:0.121401:0.611505:0.121401:0.000000
    , por lo :@0.618886:0.136836:0.710425:0.136836:0.710425:0.121124:0.618886:0.121124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.623175:0.136698:0.638508:0.136698:0.638508:0.122649:0.623175:0.122649:0.000000
R:@0.642705:0.135976:0.655995:0.135976:0.655995:0.123079:0.642705:0.123079:0.000000
tanto, :@0.073111:0.153478:0.118840:0.153478:0.118840:0.137765:0.073111:0.137765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Rec Sen x:@0.118724:0.153478:0.185340:0.153478:0.185340:0.138043:0.118724:0.138043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.142911:0.153478:0.147789:0.153478:0.147789:0.137765:0.142911:0.137765:0.000000
( ))   :@0.173081:0.153478:0.218087:0.153478:0.218087:0.137765:0.173081:0.137765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 2:@0.198814:0.152923:0.237341:0.152923:0.237341:0.139208:0.198814:0.139208:0.000000:0.000000:0.000000
F:@0.218013:0.154061:0.222099:0.154061:0.222099:0.136406:0.218013:0.136406:0.000000
1, 1 .:@0.237249:0.153478:0.269314:0.153478:0.269314:0.137765:0.237249:0.137765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
G:@0.262117:0.154061:0.266203:0.154061:0.266203:0.136406:0.262117:0.136406:0.000000
La función seno es periódica de período 2 , esto es, :@0.073111:0.181561:0.453464:0.181561:0.453464:0.165848:0.073111:0.165848:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.376776:0.181006:0.389053:0.181006:0.389053:0.167291:0.376776:0.167291:0.000000
Sen x:@0.453331:0.181561:0.490956:0.181561:0.490956:0.166126:0.453331:0.166126:0.000000:0.000000:0.000000:0.000000:0.000000
(    2 )   :@0.478697:0.181561:0.563131:0.181561:0.563131:0.165848:0.478697:0.165848:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 p 5:@0.494840:0.181006:0.559191:0.181006:0.559191:0.167291:0.494840:0.167291:0.000000:0.000000:0.000000:0.000000:0.000000
Sen x:@0.563057:0.181561:0.600681:0.181561:0.600681:0.166126:0.563057:0.166126:0.000000:0.000000:0.000000:0.000000:0.000000
( ),   :@0.588422:0.181561:0.620488:0.181561:0.620488:0.165848:0.588422:0.165848:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
;:@0.620377:0.181006:0.632655:0.181006:0.632655:0.167291:0.620377:0.167291:0.000000
x:@0.632563:0.181561:0.640018:0.181561:0.640018:0.166126:0.632563:0.166126:0.000000
    .:@0.639944:0.181561:0.679501:0.181561:0.679501:0.165848:0.639944:0.165848:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.643902:0.181422:0.659235:0.181422:0.659235:0.167374:0.643902:0.167374:0.000000
R:@0.663100:0.180701:0.676390:0.180701:0.676390:0.167804:0.663100:0.167804:0.000000
La función seno es impar, es decir, :@0.073111:0.209644:0.322607:0.209644:0.322607:0.193932:0.073111:0.193932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sen:@0.322290:0.209644:0.347718:0.209644:0.347718:0.194209:0.322290:0.194209:0.000000:0.000000:0.000000
(:@0.347655:0.209644:0.352533:0.209644:0.352533:0.193932:0.347655:0.193932:0.000000
2 5 2:@0.352460:0.209090:0.418358:0.209090:0.418358:0.195374:0.352460:0.195374:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.367701:0.209644:0.375156:0.209644:0.375156:0.194209:0.367701:0.194209:0.000000
)   :@0.375082:0.209644:0.403098:0.209644:0.403098:0.193932:0.375082:0.193932:0.000000:0.000000:0.000000:0.000000
Sen x:@0.418266:0.209644:0.455890:0.209644:0.455890:0.194209:0.418266:0.194209:0.000000:0.000000:0.000000:0.000000:0.000000
( ),    :@0.443631:0.209644:0.479654:0.209644:0.479654:0.193932:0.443631:0.193932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
;:@0.479543:0.209090:0.491821:0.209090:0.491821:0.195374:0.479543:0.195374:0.000000
x:@0.491729:0.209644:0.499184:0.209644:0.499184:0.194209:0.491729:0.194209:0.000000
    .:@0.499110:0.209644:0.538667:0.209644:0.538667:0.193932:0.499110:0.193932:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.503068:0.209506:0.518401:0.209506:0.518401:0.195457:0.503068:0.195457:0.000000
R:@0.522267:0.208784:0.535557:0.208784:0.535557:0.195887:0.522267:0.195887:0.000000
El grafo de la función seno está definido como el conjunto: :@0.073111:0.237727:0.503154:0.237727:0.503154:0.222015:0.073111:0.222015:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
G Sen x:@0.255122:0.265810:0.313160:0.265810:0.313160:0.250375:0.255122:0.250375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.265945:0.265810:0.270823:0.265810:0.270823:0.250098:0.265945:0.250098:0.000000
)( ))     ( , :@0.296115:0.265810:0.373113:0.265810:0.373113:0.250098:0.296115:0.250098:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.326634:0.265256:0.341967:0.265256:0.341967:0.251540:0.326634:0.251540:0.000000
5:@0.349772:0.266393:0.353859:0.266393:0.353859:0.248739:0.349772:0.248739:0.000000
x Sen x:@0.358571:0.265810:0.410645:0.265810:0.410645:0.250375:0.358571:0.250375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ))     |      .:@0.398386:0.265810:0.524348:0.265790:0.524348:0.250078:0.398386:0.250098:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.424119:0.265672:0.439452:0.265672:0.439452:0.251623:0.424119:0.251623:0.000000
R:@0.443318:0.264951:0.456608:0.264951:0.456608:0.252053:0.443318:0.252053:0.000000
2:@0.456501:0.259726:0.461738:0.259726:0.461738:0.250566:0.456501:0.250566:0.000000
x:@0.473415:0.265790:0.480870:0.265790:0.480870:0.250355:0.473415:0.250355:0.000000
[:@0.484754:0.265652:0.500087:0.265652:0.500087:0.251603:0.484754:0.251603:0.000000
R:@0.503953:0.264930:0.517243:0.264930:0.517243:0.252033:0.503953:0.252033:0.000000
6:@0.517151:0.266373:0.521237:0.266373:0.521237:0.248719:0.517151:0.248719:0.000000
Una porción de la gráfica de esta función se indica en la Figura 5.2.:@0.073094:0.293873:0.552894:0.293873:0.552894:0.278161:0.073094:0.278161:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Figura 5.2.:@0.574888:0.428662:0.628543:0.428662:0.628543:0.417235:0.574888:0.417235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.318175:0.321975:0.324629:0.321975:0.324629:0.308645:0.318175:0.308645:0.000000
x:@0.615499:0.383752:0.622319:0.383752:0.622319:0.370182:0.615499:0.370182:0.000000
1:@0.320028:0.347057:0.326561:0.347057:0.326561:0.335629:0.320028:0.335629:0.000000
2:@0.310898:0.402126:0.322049:0.402126:0.322049:0.392151:0.310898:0.392151:0.000000
1:@0.322049:0.402529:0.328582:0.402529:0.328582:0.391102:0.322049:0.391102:0.000000
2 p:@0.154086:0.383931:0.180700:0.383931:0.180700:0.373956:0.154086:0.373956:0.000000:0.000000:0.000000
2:@0.165238:0.384334:0.171771:0.384334:0.171771:0.372907:0.165238:0.372907:0.000000
2p:@0.239242:0.383427:0.259322:0.383427:0.259322:0.373452:0.239242:0.373452:0.000000:0.000000
p:@0.409057:0.383427:0.417986:0.383427:0.417986:0.373452:0.409057:0.373452:0.000000
2:@0.488201:0.384334:0.494734:0.384334:0.494734:0.372907:0.488201:0.372907:0.000000
p:@0.494734:0.383931:0.503663:0.383931:0.503663:0.373956:0.494734:0.373956:0.000000
3:@0.571215:0.384334:0.577748:0.384334:0.577748:0.372907:0.571215:0.372907:0.000000
p:@0.577748:0.383931:0.586677:0.383931:0.586677:0.373956:0.577748:0.373956:0.000000
2:@0.194167:0.384950:0.205319:0.384950:0.205319:0.374975:0.194167:0.374975:0.000000
3:@0.205513:0.380671:0.212046:0.380671:0.212046:0.369243:0.205513:0.369243:0.000000
p:@0.212046:0.380290:0.221069:0.380290:0.221069:0.370209:0.212046:0.370209:0.000000
4:@0.210024:0.391387:0.216557:0.391387:0.216557:0.379960:0.210024:0.379960:0.000000
–:@0.280708:0.364215:0.287402:0.364215:0.287402:0.352990:0.280708:0.352990:0.000000
p:@0.289246:0.358648:0.298269:0.358648:0.298269:0.348567:0.289246:0.348567:0.000000
2:@0.290491:0.369745:0.297024:0.369745:0.297024:0.358318:0.290491:0.358318:0.000000
p:@0.368569:0.380290:0.377593:0.380290:0.377593:0.370209:0.368569:0.370209:0.000000
2:@0.369814:0.391387:0.376347:0.391387:0.376347:0.379960:0.369814:0.379960:0.000000
3:@0.448509:0.359029:0.455042:0.359029:0.455042:0.347601:0.448509:0.347601:0.000000
p:@0.455042:0.358648:0.464065:0.358648:0.464065:0.348567:0.455042:0.348567:0.000000
2:@0.453022:0.369745:0.459555:0.369745:0.459555:0.358318:0.453022:0.358318:0.000000
y:@0.416100:0.341209:0.422894:0.341209:0.422894:0.327177:0.416100:0.327177:0.000000
   :@0.422894:0.341209:0.444163:0.341209:0.444163:0.326925:0.422894:0.326925:0.000000:0.000000:0.000000
5:@0.426559:0.340705:0.440498:0.340705:0.440498:0.328236:0.426559:0.328236:0.000000
Sen x:@0.444163:0.341209:0.478618:0.341209:0.478618:0.327177:0.444163:0.327177:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.467406:0.341209:0.483052:0.341209:0.483052:0.326925:0.467406:0.326925:0.000000:0.000000:0.000000
2.3 Función coseno: gráfico y características:@0.073089:0.457988:0.415186:0.457988:0.415186:0.441041:0.073089:0.441041:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Esta función se designa con :@0.073089:0.486071:0.278323:0.486071:0.278323:0.470359:0.073089:0.470359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cos:@0.278054:0.486071:0.303242:0.486071:0.303242:0.470636:0.278054:0.470636:0.000000:0.000000:0.000000
 y se define como sigue::@0.303180:0.486071:0.477441:0.486071:0.477441:0.470359:0.303180:0.470359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cos:@0.300400:0.517691:0.325589:0.517691:0.325589:0.502256:0.300400:0.502256:0.000000:0.000000:0.000000
: :@0.325526:0.517691:0.332687:0.517691:0.332687:0.501978:0.325526:0.501978:0.000000:0.000000
5:@0.335098:0.521148:0.340671:0.521148:0.340671:0.497074:0.335098:0.497074:0.000000
R:@0.349678:0.510196:0.362968:0.510196:0.362968:0.497298:0.349678:0.497298:0.000000
R:@0.436862:0.510196:0.450152:0.510196:0.450152:0.497298:0.436862:0.497298:0.000000
x:@0.352593:0.523606:0.360048:0.523606:0.360048:0.508171:0.352593:0.508171:0.000000
Cos x:@0.422238:0.523601:0.459899:0.523601:0.459899:0.508166:0.422238:0.508166:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.447567:0.523601:0.464777:0.523601:0.464777:0.507889:0.447567:0.507889:0.000000:0.000000:0.000000
.                       :@0.475822:0.517680:0.571742:0.517680:0.571742:0.501967:0.475822:0.501967:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Observa que :@0.073089:0.545763:0.176479:0.545763:0.176479:0.530050:0.073089:0.530050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cos x:@0.178839:0.545763:0.217642:0.545763:0.217642:0.530327:0.178839:0.530327:0.000000:0.000000:0.000000:0.000000:0.000000
( )     denota el valor de la función :@0.204977:0.545763:0.504371:0.545763:0.504371:0.530050:0.204977:0.530050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.229533:0.545624:0.244866:0.545624:0.244866:0.531575:0.229533:0.531575:0.000000
R:@0.251640:0.544903:0.264930:0.544903:0.264930:0.532005:0.251640:0.532005:0.000000
Cos x:@0.506709:0.545763:0.545512:0.545763:0.545512:0.530327:0.506709:0.530327:0.000000:0.000000:0.000000:0.000000:0.000000
( ) en      . Se tiene :@0.532847:0.545763:0.710343:0.545763:0.710343:0.530050:0.532847:0.530050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.583265:0.545763:0.590720:0.545763:0.590720:0.530327:0.583265:0.530327:0.000000
[:@0.597402:0.545624:0.612735:0.545624:0.612735:0.531575:0.597402:0.531575:0.000000
R:@0.619509:0.544903:0.632799:0.544903:0.632799:0.532005:0.619509:0.532005:0.000000
 :@0.706299:0.545763:0.710330:0.545763:0.710330:0.530050:0.706299:0.530050:0.000000
Dom Cos x:@0.073053:0.562404:0.154422:0.562404:0.154422:0.546969:0.073053:0.546969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.108137:0.562404:0.113015:0.562404:0.113015:0.546692:0.108137:0.546692:0.000000
)( )    . Tal como en el caso de la función seno, de las relaciones trigonométricas :@0.137625:0.562404:0.710494:0.562404:0.710494:0.546692:0.137625:0.546692:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.162088:0.561850:0.177422:0.561850:0.177422:0.548134:0.162088:0.548134:0.000000
R:@0.180348:0.561545:0.193638:0.561545:0.193638:0.548647:0.180348:0.548647:0.000000
en el círculo trigonométrico se sabe que :@0.073089:0.579046:0.373952:0.579046:0.373952:0.563334:0.073089:0.563334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Rec Cos x:@0.374103:0.579046:0.445707:0.579046:0.445707:0.563611:0.374103:0.563611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.398438:0.579046:0.403315:0.579046:0.403315:0.563334:0.398438:0.563334:0.000000
)( )   :@0.428552:0.579046:0.474275:0.579046:0.474275:0.563334:0.428552:0.563334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 2:@0.454948:0.578492:0.494026:0.578492:0.494026:0.564776:0.454948:0.564776:0.000000:0.000000:0.000000
F:@0.474644:0.579629:0.478730:0.579629:0.478730:0.561975:0.474644:0.561975:0.000000
1, 1 . He aquí algunos valores :@0.493990:0.579046:0.710470:0.579046:0.710470:0.563334:0.493990:0.563334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
G:@0.519484:0.579629:0.523570:0.579629:0.523570:0.561975:0.519484:0.561975:0.000000
típicos de :@0.073053:0.595688:0.147731:0.595688:0.147731:0.579975:0.073053:0.579975:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cos x:@0.147584:0.595688:0.184969:0.595688:0.184969:0.580253:0.147584:0.580253:0.000000:0.000000:0.000000:0.000000:0.000000
( )::@0.172709:0.595688:0.192902:0.595688:0.192902:0.579975:0.172709:0.579975:0.000000:0.000000:0.000000:0.000000
Cos:@0.073089:0.631222:0.098418:0.631222:0.098418:0.615787:0.073089:0.615787:0.000000:0.000000:0.000000
(0) :@0.098417:0.631222:0.121187:0.631222:0.121187:0.615510:0.098417:0.615510:0.000000:0.000000:0.000000:0.000000
5 :@0.121187:0.630668:0.141122:0.630668:0.141122:0.616952:0.121187:0.616952:0.000000:0.000000
1, :@0.141122:0.631222:0.157339:0.631222:0.157339:0.615510:0.141122:0.615510:0.000000:0.000000:0.000000
Cos:@0.157339:0.631222:0.182665:0.631222:0.182665:0.615787:0.157339:0.615787:0.000000:0.000000:0.000000
5 :@0.585418:0.630668:0.605353:0.630668:0.605353:0.616952:0.585418:0.616952:0.000000:0.000000
0,:@0.605353:0.631222:0.617538:0.631222:0.617538:0.615510:0.605353:0.615510:0.000000:0.000000
, :@0.264819:0.631222:0.272053:0.631222:0.272053:0.615510:0.264819:0.615510:0.000000:0.000000
Cos x:@0.272053:0.631222:0.309714:0.631222:0.309714:0.615787:0.272053:0.615787:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.297381:0.631222:0.314592:0.631222:0.314592:0.615510:0.297381:0.615510:0.000000:0.000000:0.000000
5 :@0.223108:0.630668:0.243043:0.630668:0.243043:0.616952:0.223108:0.616952:0.000000:0.000000
p:@0.196325:0.622804:0.208603:0.622804:0.208603:0.609089:0.196325:0.609089:0.000000
6:@0.197743:0.638836:0.206725:0.638836:0.206725:0.623123:0.197743:0.623123:0.000000
3:@0.247463:0.623362:0.256446:0.623362:0.256446:0.607649:0.247463:0.607649:0.000000
2:@0.248880:0.638838:0.257863:0.638838:0.257863:0.623126:0.248880:0.623126:0.000000
S:@0.183757:0.636497:0.190815:0.636497:0.190815:0.606004:0.183757:0.606004:0.000000
S:@0.219228:0.636497:0.212170:0.636497:0.212170:0.606004:0.219228:0.606004:0.000000
p:@0.323175:0.622930:0.335453:0.622930:0.335453:0.609215:0.323175:0.609215:0.000000
4:@0.324593:0.638962:0.333575:0.638962:0.333575:0.623249:0.324593:0.623249:0.000000
S:@0.315021:0.634873:0.322079:0.634873:0.322079:0.604380:0.315021:0.604380:0.000000
S:@0.342826:0.634873:0.335768:0.634873:0.335768:0.604380:0.342826:0.604380:0.000000
, :@0.393712:0.631222:0.400946:0.631222:0.400946:0.615510:0.393712:0.615510:0.000000:0.000000
Cos x:@0.400946:0.631222:0.438607:0.631222:0.438607:0.615787:0.400946:0.615787:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.426274:0.631222:0.443485:0.631222:0.443485:0.615510:0.426274:0.615510:0.000000:0.000000:0.000000
5 :@0.346332:0.630792:0.366267:0.630792:0.366267:0.617077:0.346332:0.617077:0.000000:0.000000
2:@0.378011:0.623359:0.386993:0.623359:0.386993:0.607646:0.378011:0.607646:0.000000
2:@0.377753:0.638836:0.386736:0.638836:0.386736:0.623123:0.377753:0.623123:0.000000
p:@0.452861:0.622807:0.465139:0.622807:0.465139:0.609091:0.452861:0.609091:0.000000
3:@0.454278:0.638838:0.463261:0.638838:0.463261:0.623126:0.454278:0.623126:0.000000
S:@0.443629:0.636497:0.450687:0.636497:0.450687:0.606004:0.443629:0.606004:0.000000
S:@0.475753:0.636497:0.468695:0.636497:0.468695:0.606004:0.475753:0.606004:0.000000
, :@0.516462:0.631222:0.523696:0.631222:0.523696:0.615510:0.516462:0.615510:0.000000:0.000000
Cos:@0.523696:0.631222:0.549024:0.631222:0.549024:0.615787:0.523696:0.615787:0.000000:0.000000:0.000000
p:@0.562222:0.622804:0.574500:0.622804:0.574500:0.609089:0.562222:0.609089:0.000000
2:@0.563639:0.638836:0.572622:0.638836:0.572622:0.623123:0.563639:0.623123:0.000000
S:@0.552993:0.636497:0.560052:0.636497:0.560052:0.606004:0.552993:0.606004:0.000000
S:@0.585117:0.636497:0.578059:0.636497:0.578059:0.606004:0.585117:0.606004:0.000000
5 :@0.477090:0.630668:0.497025:0.630668:0.497025:0.616952:0.477090:0.616952:0.000000:0.000000
1:@0.503118:0.623359:0.512101:0.623359:0.512101:0.607646:0.503118:0.607646:0.000000
2:@0.502860:0.638836:0.511843:0.638836:0.511843:0.623123:0.502860:0.623123:0.000000
Cos x:@0.073089:0.671662:0.110750:0.671662:0.110750:0.656227:0.073089:0.656227:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.098417:0.671662:0.115628:0.671662:0.115628:0.655949:0.098417:0.655949:0.000000:0.000000:0.000000
2:@0.118481:0.671107:0.133814:0.671107:0.133814:0.657392:0.118481:0.657392:0.000000
p:@0.138011:0.663244:0.150289:0.663244:0.150289:0.649528:0.138011:0.649528:0.000000
6:@0.139419:0.679276:0.148402:0.679276:0.148402:0.663563:0.139419:0.663563:0.000000
S:@0.115390:0.676937:0.122449:0.676937:0.122449:0.646443:0.115390:0.646443:0.000000
S:@0.159230:0.676937:0.152172:0.676937:0.152172:0.646443:0.159230:0.646443:0.000000
, :@0.225337:0.671662:0.232571:0.671662:0.232571:0.655949:0.225337:0.655949:0.000000:0.000000
Cos x:@0.232571:0.671662:0.270233:0.671662:0.270233:0.656227:0.232571:0.656227:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.257900:0.671662:0.275111:0.671662:0.275111:0.655949:0.257900:0.655949:0.000000:0.000000:0.000000
5 2 :@0.168717:0.671107:0.208587:0.671107:0.208587:0.657392:0.168717:0.657392:0.000000:0.000000:0.000000:0.000000
2:@0.276436:0.671107:0.291769:0.671107:0.291769:0.657392:0.276436:0.657392:0.000000
2:@0.422737:0.671246:0.438070:0.671246:0.438070:0.657530:0.422737:0.657530:0.000000
2:@0.335376:0.671246:0.350709:0.671246:0.350709:0.657530:0.335376:0.657530:0.000000
3:@0.207961:0.663799:0.216944:0.663799:0.216944:0.648086:0.207961:0.648086:0.000000
2:@0.208796:0.679276:0.217779:0.679276:0.217779:0.663563:0.208796:0.663563:0.000000
S:@0.273581:0.676936:0.280640:0.676936:0.280640:0.646442:0.273581:0.646442:0.000000
S:@0.317422:0.676936:0.310364:0.676936:0.310364:0.646442:0.317422:0.646442:0.000000
S:@0.419666:0.676936:0.426724:0.676936:0.426724:0.646442:0.419666:0.646442:0.000000
S:@0.460160:0.676936:0.453102:0.676936:0.453102:0.646442:0.460160:0.646442:0.000000
p:@0.295994:0.663370:0.308272:0.663370:0.308272:0.649654:0.295994:0.649654:0.000000
4:@0.297403:0.679399:0.306386:0.679399:0.306386:0.663686:0.297403:0.663686:0.000000
, :@0.369008:0.671662:0.376242:0.671662:0.376242:0.655949:0.369008:0.655949:0.000000:0.000000
Cos x:@0.376242:0.671662:0.413903:0.671662:0.413903:0.656227:0.376242:0.656227:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.401570:0.671662:0.418781:0.671662:0.418781:0.655949:0.401570:0.655949:0.000000:0.000000:0.000000
5 :@0.318406:0.671107:0.338341:0.671107:0.338341:0.657392:0.318406:0.657392:0.000000:0.000000
2:@0.356546:0.663854:0.365529:0.663854:0.365529:0.648141:0.356546:0.648141:0.000000
2:@0.356280:0.679323:0.365263:0.679323:0.365263:0.663611:0.356280:0.663611:0.000000
p:@0.441522:0.663509:0.453800:0.663509:0.453800:0.649793:0.441522:0.649793:0.000000
3:@0.442933:0.679538:0.451916:0.679538:0.451916:0.663825:0.442933:0.663825:0.000000
5 :@0.617877:0.671107:0.637812:0.671107:0.637812:0.657392:0.617877:0.657392:0.000000:0.000000
0.:@0.637812:0.671662:0.649998:0.671662:0.649998:0.655949:0.637812:0.655949:0.000000:0.000000
2:@0.480485:0.671246:0.495819:0.671246:0.495819:0.657530:0.480485:0.657530:0.000000
2:@0.572540:0.671260:0.587873:0.671260:0.587873:0.657544:0.572540:0.657544:0.000000
, :@0.517889:0.671662:0.525123:0.671662:0.525123:0.655949:0.517889:0.655949:0.000000:0.000000
Cos x:@0.525123:0.671662:0.562784:0.671662:0.562784:0.656227:0.525123:0.656227:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.550451:0.671662:0.567662:0.671662:0.567662:0.655949:0.550451:0.655949:0.000000:0.000000:0.000000
p:@0.592438:0.663244:0.604716:0.663244:0.604716:0.649528:0.592438:0.649528:0.000000
2:@0.593857:0.679276:0.602840:0.679276:0.602840:0.663563:0.593857:0.663563:0.000000
S:@0.566429:0.676937:0.573487:0.676937:0.573487:0.646443:0.566429:0.646443:0.000000
S:@0.615340:0.676937:0.608282:0.676937:0.608282:0.646443:0.615340:0.646443:0.000000
5 :@0.461815:0.671107:0.481750:0.671107:0.481750:0.657392:0.461815:0.657392:0.000000:0.000000
1:@0.504539:0.663799:0.513521:0.663799:0.513521:0.648086:0.504539:0.648086:0.000000
2:@0.504278:0.679276:0.513260:0.679276:0.513260:0.663563:0.504278:0.663563:0.000000
La función coseno es periódica de período 2 , es decir, esta función es par  :@0.073089:0.713807:0.710367:0.713807:0.710367:0.698095:0.073089:0.698095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.447419:0.713253:0.459697:0.713253:0.459697:0.699537:0.447419:0.699537:0.000000
Cos:@0.073089:0.730449:0.098278:0.730449:0.098278:0.715014:0.073089:0.715014:0.000000:0.000000:0.000000
(:@0.098215:0.730449:0.103093:0.730449:0.103093:0.714737:0.098215:0.714737:0.000000
2 5:@0.103019:0.729894:0.149719:0.729894:0.149719:0.716179:0.103019:0.716179:0.000000:0.000000:0.000000
x:@0.118261:0.730449:0.125716:0.730449:0.125716:0.715014:0.118261:0.715014:0.000000
)   :@0.125642:0.730449:0.153658:0.730449:0.153658:0.714737:0.125642:0.714737:0.000000:0.000000:0.000000:0.000000
Cos x:@0.153584:0.730449:0.190969:0.730449:0.190969:0.715014:0.153584:0.715014:0.000000:0.000000:0.000000:0.000000:0.000000
( ), :@0.178710:0.730449:0.202860:0.730449:0.202860:0.714737:0.178710:0.714737:0.000000:0.000000:0.000000:0.000000:0.000000
;:@0.202768:0.729894:0.215046:0.729894:0.215046:0.716179:0.202768:0.716179:0.000000
x:@0.214954:0.730449:0.222409:0.730449:0.222409:0.715014:0.214954:0.715014:0.000000
    .:@0.222335:0.730449:0.261892:0.730449:0.261892:0.714737:0.222335:0.714737:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.226293:0.730311:0.241626:0.730311:0.241626:0.716262:0.226293:0.716262:0.000000
R:@0.245492:0.729589:0.258782:0.729589:0.258782:0.716692:0.245492:0.716692:0.000000
El grafo de la función coseno es el conjunto  ( ) definido como:@0.073089:0.758532:0.528650:0.758532:0.528650:0.742820:0.073089:0.742820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
G f:@0.392492:0.758532:0.412813:0.758532:0.412813:0.743097:0.392492:0.743097:0.000000:0.000000:0.000000
G f:@0.299204:0.786615:0.319525:0.786615:0.319525:0.771180:0.299204:0.771180:0.000000:0.000000:0.000000
( )    ( , :@0.310027:0.786615:0.370734:0.786615:0.370734:0.770903:0.310027:0.770903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.328195:0.786061:0.343529:0.786061:0.343529:0.772345:0.328195:0.772345:0.000000
5:@0.347394:0.787198:0.351480:0.787198:0.351480:0.769544:0.347394:0.769544:0.000000
x Cos x:@0.356193:0.786615:0.408028:0.786615:0.408028:0.771180:0.356193:0.771180:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( )) |      ,:@0.395768:0.786615:0.480202:0.786615:0.480202:0.770903:0.395768:0.770903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.429270:0.786615:0.436724:0.786615:0.436724:0.771180:0.429270:0.771180:0.000000
[:@0.440608:0.786477:0.455942:0.786477:0.455942:0.772428:0.440608:0.772428:0.000000
R:@0.459807:0.785756:0.473097:0.785756:0.473097:0.772858:0.459807:0.772858:0.000000
6:@0.473005:0.787198:0.477092:0.787198:0.477092:0.769544:0.473005:0.769544:0.000000
cuya porción de gráfica se muestra en la Figura 5.3.:@0.073071:0.814698:0.441442:0.814698:0.441442:0.798986:0.073071:0.798986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Figura 5.3.:@0.580348:0.942582:0.634004:0.942582:0.634004:0.931154:0.580348:0.931154:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.619636:0.901245:0.626074:0.901245:0.626074:0.887915:0.619636:0.887915:0.000000
y:@0.364464:0.837577:0.369900:0.837577:0.369900:0.826352:0.364464:0.826352:0.000000
1:@0.365194:0.865180:0.372952:0.865180:0.372952:0.851610:0.365194:0.851610:0.000000
0:@0.366482:0.900596:0.374240:0.900596:0.374240:0.887026:0.366482:0.887026:0.000000
2:@0.352747:0.921436:0.365989:0.921436:0.365989:0.909591:0.352747:0.909591:0.000000
1:@0.365989:0.921915:0.373747:0.921915:0.373747:0.908345:0.365989:0.908345:0.000000
y:@0.420764:0.881931:0.427558:0.881931:0.427558:0.867899:0.420764:0.867899:0.000000
   :@0.427558:0.881931:0.448827:0.881931:0.448827:0.867647:0.427558:0.867647:0.000000:0.000000:0.000000
5:@0.431223:0.881427:0.445162:0.881427:0.445162:0.868958:0.431223:0.868958:0.000000
Cos x:@0.448827:0.881931:0.483064:0.881931:0.483064:0.867899:0.448827:0.867899:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.471852:0.881931:0.487499:0.881931:0.487499:0.867647:0.471852:0.867647:0.000000:0.000000:0.000000
2 p:@0.182397:0.901424:0.209010:0.901424:0.209010:0.891449:0.182397:0.891449:0.000000:0.000000:0.000000
2:@0.193548:0.901828:0.200081:0.901828:0.200081:0.890401:0.193548:0.890401:0.000000
2p:@0.276468:0.900920:0.296548:0.900920:0.296548:0.890945:0.276468:0.890945:0.000000:0.000000
p:@0.464155:0.900920:0.473084:0.900920:0.473084:0.890945:0.464155:0.890945:0.000000
2:@0.552403:0.901828:0.558935:0.901828:0.558935:0.890401:0.552403:0.890401:0.000000
p:@0.558935:0.901424:0.567865:0.901424:0.567865:0.891449:0.558935:0.891449:0.000000
2:@0.218046:0.877995:0.229198:0.877995:0.229198:0.868020:0.218046:0.868020:0.000000
3:@0.231377:0.872785:0.237979:0.872785:0.237979:0.861237:0.231377:0.861237:0.000000
p:@0.237979:0.872377:0.247002:0.872377:0.247002:0.862297:0.237979:0.862297:0.000000
4:@0.235895:0.883497:0.242497:0.883497:0.242497:0.871949:0.235895:0.871949:0.000000
2:@0.319999:0.902442:0.331151:0.902442:0.331151:0.892467:0.319999:0.892467:0.000000
p:@0.331782:0.897760:0.340711:0.897760:0.340711:0.887785:0.331782:0.887785:0.000000
2:@0.332986:0.908875:0.339519:0.908875:0.339519:0.897447:0.332986:0.897447:0.000000
p:@0.419074:0.897760:0.428003:0.897760:0.428003:0.887785:0.419074:0.887785:0.000000
2:@0.420279:0.908875:0.426812:0.908875:0.426812:0.897447:0.420279:0.897447:0.000000
3π:@0.509323:0.898190:0.523054:0.898190:0.523054:0.886642:0.509323:0.886642:0.000000:0.000000
2:@0.512894:0.908903:0.519496:0.908903:0.519496:0.897354:0.512894:0.897354:0.000000
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