Competencia digital:@0.300839:0.094445:0.684025:0.094445:0.684025:0.027456:0.300839:0.027456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
187:@0.918240:0.966765:0.943652:0.966765:0.943652:0.950778:0.918240:0.950778:0.000000:0.000000:0.000000
Uso de GeoGebra para representar funciones trigonométricas:@0.107439:0.146660:0.761131:0.146660:0.761131:0.107956:0.107439:0.107956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.107439:0.163147:0.121223:0.163147:0.121223:0.146703:0.107439:0.146703:0.000000:0.000000
  Vamos a graficar paso a paso la función   = 2cos(3  + π) – 1.:@0.121223:0.162470:0.543413:0.162470:0.543413:0.146689:0.121223:0.146689:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.403547:0.162580:0.410900:0.162580:0.410900:0.146828:0.403547:0.146828:0.000000
x:@0.473627:0.162580:0.480777:0.162580:0.480777:0.146828:0.473627:0.146828:0.000000
a):@0.132261:0.192855:0.146174:0.192855:0.146174:0.176867:0.132261:0.176867:0.000000:0.000000
  Vamos a graficar la función   = cos( ), y sobre este mismo gráfico, la función con amplitud 2,    = 2cos( ).:@0.146174:0.192647:0.856790:0.192647:0.856790:0.176867:0.146174:0.176867:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.341466:0.192758:0.348819:0.192758:0.348819:0.177005:0.341466:0.177005:0.000000
x:@0.394188:0.192758:0.401338:0.192758:0.401338:0.177005:0.394188:0.177005:0.000000
y:@0.780464:0.192758:0.787817:0.192758:0.787817:0.177005:0.780464:0.177005:0.000000
x:@0.841310:0.192758:0.848460:0.192758:0.848460:0.177005:0.841310:0.177005:0.000000
b):@0.367646:0.587315:0.382959:0.587315:0.382959:0.571328:0.367646:0.571328:0.000000:0.000000
 :@0.382959:0.587108:0.386921:0.587108:0.386921:0.571328:0.382959:0.571328:0.000000
Graficamos:@0.391380:0.587551:0.475556:0.587551:0.475556:0.571341:0.391380:0.571341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la función   =2cos(3  + π), con amplitud 2, período :@0.475558:0.587108:0.860819:0.587108:0.860819:0.571328:0.475558:0.571328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.559365:0.587219:0.566718:0.587219:0.566718:0.571466:0.559365:0.571466:0.000000
x:@0.628211:0.587219:0.635360:0.587219:0.635360:0.571466:0.628211:0.571466:0.000000
2π/3 y desfase –π/3.:@0.391380:0.603704:0.529199:0.603704:0.529199:0.587924:0.391380:0.587924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Gráfica de la función coseno con :@0.113026:0.689139:0.330593:0.689139:0.330593:0.674076:0.113026:0.674076:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
amplitud 2 y período 2π/3.:@0.113026:0.704981:0.287272:0.704981:0.287272:0.689918:0.113026:0.689918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En :@0.112188:0.225591:0.132258:0.225591:0.132258:0.210528:0.112188:0.210528:0.000000:0.000000:0.000000
Entrada:@0.132258:0.225696:0.182689:0.225696:0.182689:0.210660:0.132258:0.210660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.182689:0.225591:0.186471:0.225591:0.186471:0.210528:0.182689:0.210528:0.000000
escribe:@0.186471:0.226013:0.236266:0.226013:0.236266:0.210541:0.186471:0.210541:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   = cos. Ense-:@0.236268:0.225591:0.326997:0.225591:0.326997:0.210528:0.236268:0.210528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.240050:0.225696:0.247068:0.225696:0.247068:0.210660:0.240050:0.210660:0.000000
guida aparece el recuadro con la :@0.112188:0.241433:0.324586:0.241433:0.324586:0.226369:0.112188:0.226369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función. :@0.112188:0.257275:0.168547:0.257275:0.168547:0.242211:0.112188:0.242211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Selecciónala:@0.168547:0.257697:0.254789:0.257697:0.254789:0.242225:0.168547:0.242225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.254790:0.257275:0.257306:0.257275:0.257306:0.242211:0.254790:0.242211:0.000000
Aparece el gráfico de la función :@0.112188:0.517430:0.320398:0.517430:0.320398:0.502367:0.112188:0.502367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
coseno.:@0.112188:0.533272:0.161016:0.533272:0.161016:0.518209:0.112188:0.518209:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Da:@0.372576:0.517853:0.392171:0.517853:0.392171:0.502380:0.372576:0.502380:0.000000:0.000000
 clic en :@0.392171:0.517430:0.440895:0.517430:0.440895:0.502367:0.392171:0.502367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Vista Gráfica:@0.440895:0.517536:0.522652:0.517536:0.522652:0.502499:0.440895:0.502499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, luego en :@0.522652:0.517430:0.588455:0.517430:0.588455:0.502367:0.522652:0.502367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Eje X:@0.372576:0.533378:0.402971:0.533378:0.402971:0.518341:0.372576:0.518341:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.402971:0.533272:0.417677:0.533272:0.417677:0.518209:0.402971:0.518209:0.000000:0.000000:0.000000
cambia:@0.417677:0.533695:0.468985:0.533695:0.468985:0.518222:0.417677:0.518222:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la distancia en el :@0.468987:0.533272:0.582407:0.533272:0.582407:0.518209:0.468987:0.518209:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
eje horizontal a π/2.:@0.372576:0.549114:0.501088:0.549114:0.501088:0.534051:0.372576:0.534051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ingresa:@0.632963:0.517853:0.683674:0.517853:0.683674:0.502380:0.632963:0.502380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la función   = 2cos( ). :@0.683675:0.517430:0.833558:0.517430:0.833558:0.502367:0.683675:0.502367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.755863:0.517536:0.762882:0.517536:0.762882:0.502499:0.755863:0.502499:0.000000
x:@0.815001:0.517536:0.821826:0.517536:0.821826:0.502499:0.815001:0.502499:0.000000
Puedes ver el cambio con la :@0.632963:0.533272:0.816863:0.533272:0.816863:0.518209:0.632963:0.518209:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función original.:@0.632963:0.549114:0.737167:0.549114:0.737167:0.534051:0.632963:0.534051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Gráfica de la función coseno :@0.113020:0.788936:0.302197:0.788936:0.302197:0.773873:0.113020:0.773873:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con amplitud 2, período 2π/3 y :@0.113020:0.804778:0.319439:0.804778:0.319439:0.789715:0.113020:0.789715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
desfase –π/3.:@0.113020:0.820620:0.199088:0.820620:0.199088:0.805557:0.113020:0.805557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Practica la representación gráfica de estas funciones trigonométricas en GeoGebra:@0.117728:0.914554:0.777790:0.914554:0.777790:0.896872:0.117728:0.896872:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.117728:0.934119:0.131641:0.934119:0.131641:0.918131:0.117728:0.918131:0.000000:0.000000
   = 3sen(  + π) + 1,5. :@0.131641:0.933911:0.281587:0.933911:0.281587:0.918131:0.131641:0.918131:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.134350:0.934022:0.141703:0.934022:0.141703:0.918269:0.134350:0.918269:0.000000
x:@0.196781:0.934022:0.203931:0.934022:0.203931:0.918269:0.196781:0.918269:0.000000
b):@0.379069:0.934119:0.394382:0.934119:0.394382:0.918131:0.379069:0.918131:0.000000:0.000000
    = –cos(2 ) + 2. :@0.394382:0.933911:0.520133:0.933911:0.520133:0.918131:0.394382:0.918131:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.402306:0.934022:0.409659:0.934022:0.409659:0.918269:0.402306:0.918269:0.000000
x:@0.474301:0.934022:0.481451:0.934022:0.481451:0.918269:0.474301:0.918269:0.000000
c):@0.618628:0.934119:0.632338:0.934119:0.632338:0.918131:0.618628:0.918131:0.000000:0.000000
 :@0.632338:0.933911:0.636300:0.933911:0.636300:0.918131:0.632338:0.918131:0.000000
y:@0.660514:0.934022:0.667867:0.934022:0.667867:0.918269:0.660514:0.918269:0.000000
 = –0,5 tan(  – π/2).:@0.667867:0.933911:0.805022:0.933911:0.805022:0.918131:0.667867:0.918131:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.747454:0.934022:0.754604:0.934022:0.754604:0.918269:0.747454:0.918269:0.000000
Incluimos en esta sección uno o varios URL de sitios web que, en su momento, estaban en pleno funcionamiento; sin embargo, estos podrían haberse eliminado o cambiado :@0.107393:0.961883:0.854703:0.961883:0.854703:0.951841:0.107393:0.951841:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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