183:@0.918240:0.966765:0.943652:0.966765:0.943652:0.950778:0.918240:0.950778:0.000000:0.000000:0.000000
Competencia digital:@0.684804:0.107017:0.827156:0.107017:0.827156:0.091545:0.684804:0.091545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Existen :@0.685042:0.135646:0.734399:0.135646:0.734399:0.120583:0.685042:0.120583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
softwares:@0.734399:0.135751:0.794221:0.135751:0.794221:0.120715:0.734399:0.120715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 libres, :@0.794223:0.135646:0.838249:0.135646:0.838249:0.120583:0.794223:0.120583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como GeoGebra, que permiten :@0.638498:0.151488:0.847077:0.151488:0.847077:0.136425:0.638498:0.136425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
realizar las gráficas de las funcio-:@0.638498:0.167330:0.846673:0.167330:0.846673:0.152267:0.638498:0.152267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nes trigonométricas de forma :@0.638498:0.183172:0.833834:0.183172:0.833834:0.168109:0.638498:0.168109:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
precisa, ágil e interactiva.:@0.638498:0.199014:0.797760:0.199014:0.797760:0.183951:0.638498:0.183951:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Más adelante te indicaremos  :@0.638498:0.221985:0.850440:0.221985:0.850440:0.206922:0.638498:0.206922:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el trazo de estas gráficas con el :@0.638498:0.237827:0.850440:0.237827:0.850440:0.222764:0.638498:0.222764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
uso de GeoGebra.:@0.638498:0.253669:0.759146:0.253669:0.759146:0.238606:0.638498:0.238606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaga:@0.638503:0.376034:0.687017:0.376034:0.687017:0.360562:0.638503:0.360562:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 sobre cómo hacer gráfi-:@0.687193:0.375612:0.846664:0.375612:0.846664:0.360549:0.687193:0.360549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cas de funciones trigonométri-:@0.638503:0.391454:0.846664:0.391454:0.846664:0.376391:0.638503:0.376391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cas en GeoGebra.:@0.638503:0.407296:0.755827:0.407296:0.755827:0.392233:0.638503:0.392233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108233:0.113545:0.112375:0.113545:0.112375:0.097047:0.108233:0.097047:0.000000
     Csc: :@0.168533:0.113545:0.221725:0.113545:0.221725:0.097047:0.168533:0.097047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determinemos el recorrido de esta función:  :@0.108233:0.166060:0.425333:0.166060:0.425333:0.149562:0.108233:0.149562:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Rec  Csc:@0.108233:0.200877:0.165721:0.200877:0.165721:0.184408:0.108233:0.184408:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.136206:0.200761:0.142159:0.200761:0.142159:0.184264:0.136206:0.184264:0.000000
) =    csc( ) |       \      |            .:@0.165721:0.200761:0.434784:0.200769:0.434784:0.184271:0.165721:0.184264:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x x:@0.231606:0.200877:0.265802:0.200877:0.265802:0.184408:0.231606:0.184408:0.000000:0.000000:0.000000
:@0.269944:0.200545:0.285992:0.200545:0.285992:0.185898:0.269944:0.185898:0.000000
R:@0.290901:0.199682:0.304206:0.199682:0.304206:0.186820:0.290901:0.186820:0.000000
kπ k:@0.330464:0.200885:0.373927:0.200885:0.373927:0.184416:0.330464:0.184416:0.000000:0.000000:0.000000:0.000000
:@0.378069:0.200552:0.394117:0.200552:0.394117:0.185905:0.378069:0.185905:0.000000
Z:@0.399028:0.199682:0.411319:0.199682:0.411319:0.186820:0.399028:0.186820:0.000000
Rec  Csc:@0.108238:0.235586:0.165726:0.235586:0.165726:0.219117:0.108238:0.219117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.136211:0.235470:0.142164:0.235470:0.142164:0.218973:0.136211:0.218973:0.000000
) = ]–∞, –1]   [1, ∞[.:@0.165726:0.235470:0.319694:0.235470:0.319694:0.218973:0.165726:0.218973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.256330:0.235254:0.272378:0.235254:0.272378:0.220607:0.256330:0.220607:0.000000
La función cosecante es periódica de período  .:@0.108238:0.270172:0.447515:0.270172:0.447515:0.253674:0.108238:0.253674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
π:@0.435223:0.270288:0.444760:0.270288:0.444760:0.253819:0.435223:0.253819:0.000000
La función cosecante es impar, pues: :@0.108238:0.287523:0.370454:0.287523:0.370454:0.271025:0.108238:0.271025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
csc (– ) =                 =                  = –csc( ),        \      |         .:@0.109799:0.318450:0.594204:0.318452:0.594204:0.301955:0.109799:0.301953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.152856:0.318566:0.160331:0.318566:0.160331:0.302097:0.152856:0.302097:0.000000
x:@0.390879:0.318566:0.398354:0.318566:0.398354:0.302097:0.390879:0.302097:0.000000
∀:@0.419478:0.326039:0.431050:0.326039:0.431050:0.307040:0.419478:0.307040:0.000000
x:@0.431058:0.318568:0.438533:0.318568:0.438533:0.302099:0.431058:0.302099:0.000000
:@0.442675:0.317934:0.457327:0.317934:0.457327:0.304560:0.442675:0.304560:0.000000
R :@0.461468:0.317484:0.480194:0.317484:0.480194:0.304037:0.461468:0.304037:0.000000:0.000000
kπ k:@0.502311:0.318568:0.545773:0.318568:0.545773:0.302099:0.502311:0.302099:0.000000:0.000000:0.000000:0.000000
:@0.549915:0.318235:0.565963:0.318235:0.565963:0.303589:0.549915:0.303589:0.000000
Z:@0.570874:0.317365:0.583165:0.317365:0.583165:0.304503:0.570874:0.304503:0.000000
El grafo de la función cosecante se define así::@0.108238:0.353154:0.425358:0.353154:0.425358:0.336656:0.108238:0.336656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
G:@0.164127:0.387971:0.175570:0.387971:0.175570:0.371502:0.164127:0.371502:0.000000
(Csc) =   ( , csc( ))   :@0.175570:0.387855:0.331481:0.387855:0.331481:0.371358:0.175570:0.371358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.246389:0.387971:0.253864:0.387971:0.253864:0.371502:0.246389:0.371502:0.000000
x:@0.289175:0.387971:0.296650:0.387971:0.296650:0.371502:0.289175:0.371502:0.000000
:@0.312688:0.387337:0.327340:0.387337:0.327340:0.373963:0.312688:0.373963:0.000000
R  :@0.331481:0.386887:0.355160:0.386887:0.355160:0.373440:0.331481:0.373440:0.000000:0.000000:0.000000
2:@0.345390:0.381502:0.350343:0.381502:0.350343:0.371884:0.345390:0.371884:0.000000
|      \       |           .:@0.355160:0.387855:0.539883:0.387855:0.539883:0.371358:0.355160:0.371358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.364311:0.387971:0.371786:0.387971:0.371786:0.371502:0.364311:0.371502:0.000000
:@0.375928:0.387337:0.390580:0.387337:0.390580:0.373963:0.375928:0.373963:0.000000
R :@0.394722:0.386887:0.413447:0.386887:0.413447:0.373440:0.394722:0.373440:0.000000:0.000000
kπ k:@0.439706:0.387971:0.483168:0.387971:0.483168:0.371502:0.439706:0.371502:0.000000:0.000000:0.000000:0.000000
:@0.487310:0.387638:0.503358:0.387638:0.503358:0.372992:0.487310:0.372992:0.000000
Z:@0.508269:0.386768:0.520560:0.386768:0.520560:0.373906:0.508269:0.373906:0.000000
Aplicaciones de las funciones trigonométricas:@0.108233:0.441305:0.475404:0.441305:0.475404:0.423622:0.108233:0.423622:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejercicio resuelto:@0.108233:0.458389:0.226212:0.458389:0.226212:0.441602:0.108233:0.441602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El movimiento de un objeto sobre un resorte vertical puede describirse :@0.108233:0.475364:0.599967:0.475364:0.599967:0.458866:0.108233:0.458866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mediante la función coseno modificada. Una masa suspendida en el re-:@0.108233:0.492714:0.595764:0.492714:0.595764:0.476217:0.108233:0.476217:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sorte está en su punto de equilibrio cuando el resorte está en reposo. Si :@0.108233:0.510065:0.599919:0.510065:0.599919:0.493567:0.108233:0.493567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se comprime el resorte una cierta longitud sobre el punto de equilibrio :@0.108233:0.527416:0.599892:0.527416:0.599892:0.510918:0.108233:0.510918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y se suelta, la masa oscila hacia abajo y hacia arriba del punto de equi-:@0.108233:0.544767:0.595829:0.544767:0.595829:0.528269:0.108233:0.528269:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
librio. El tiempo que tarda la masa en oscilar desde el punto más alto :@0.108233:0.562117:0.599838:0.562117:0.599838:0.545620:0.108233:0.545620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hasta el punto más bajo y de regreso al punto más alto es su período.:@0.108233:0.579468:0.584885:0.579468:0.584885:0.562970:0.108233:0.562970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La ecuación y = 3,5 cos                 describe el desplazamiento vertical:@0.108233:0.603947:0.591186:0.603947:0.591186:0.587449:0.108233:0.587449:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.283832:0.604063:0.289496:0.604063:0.289496:0.587594:0.283832:0.587594:0.000000
del objeto para cualquier tiempo  , al comprimirse 3,5 cm. Se tiene :@0.108233:0.631983:0.599902:0.631983:0.599902:0.615485:0.108233:0.615485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.353750:0.632099:0.359414:0.632099:0.359414:0.615630:0.353750:0.615630:0.000000
que   es la constante del resorte y   es la masa del objeto.:@0.108233:0.649334:0.521080:0.649334:0.521080:0.632836:0.108233:0.632836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.139385:0.649449:0.147631:0.649449:0.147631:0.632981:0.139385:0.632981:0.000000
m:@0.351935:0.649449:0.366731:0.649449:0.366731:0.632981:0.351935:0.632981:0.000000
a):@0.108233:0.684252:0.122778:0.684252:0.122778:0.667538:0.108233:0.667538:0.000000:0.000000
  Si   = 19,6 y   = 1,99 g, ¿cuál es el desplazamiento vertical después :@0.122779:0.684035:0.599859:0.684035:0.599859:0.667538:0.122779:0.667538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.147264:0.684151:0.155510:0.684151:0.155510:0.667682:0.147264:0.667682:0.000000
m:@0.216330:0.684151:0.231126:0.684151:0.231126:0.667682:0.216330:0.667682:0.000000
de 0,9 segundos y de 1,7 segundos?:@0.131968:0.701386:0.380948:0.701386:0.380948:0.684888:0.131968:0.684888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.108233:0.718954:0.124242:0.718954:0.124242:0.702239:0.108233:0.702239:0.000000:0.000000
  ¿Cuánto estará el objeto en el punto de equilibrio por primera vez?:@0.124243:0.718737:0.595717:0.718737:0.595717:0.702239:0.124243:0.702239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
De acuerdo con los datos y la ecuación que describe el movimiento.:@0.108233:0.753438:0.590687:0.753438:0.590687:0.736941:0.108233:0.736941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.108233:0.771006:0.122778:0.771006:0.122778:0.754291:0.108233:0.754291:0.000000:0.000000
  Sustituyamos los valores de los datos.:@0.122779:0.770789:0.396014:0.770789:0.396014:0.754291:0.122779:0.754291:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108233:0.805491:0.112375:0.805491:0.112375:0.788993:0.108233:0.788993:0.000000
y:@0.131968:0.805606:0.139655:0.805606:0.139655:0.789137:0.131968:0.789137:0.000000
 = (0,9) = 3,5 cos  0,9                = –3,33 cm;:@0.139655:0.805491:0.434702:0.805491:0.434702:0.788993:0.139655:0.788993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108233:0.840192:0.112375:0.840192:0.112375:0.823694:0.108233:0.823694:0.000000
y:@0.131968:0.840308:0.139655:0.840308:0.139655:0.823839:0.131968:0.823839:0.000000
(1,7) = 3,5 cos   1,7               = 2,04 cm.:@0.139655:0.840192:0.406690:0.840192:0.406690:0.823694:0.139655:0.823694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.108233:0.875110:0.124242:0.875110:0.124242:0.858396:0.108233:0.858396:0.000000:0.000000
  En el punto de equilibrio,   = 0, 0 = 3,5 cos               :@0.124243:0.874894:0.494887:0.874894:0.494887:0.858396:0.124243:0.858396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.314044:0.875009:0.321731:0.875009:0.321731:0.858540:0.314044:0.858540:0.000000
t:@0.443660:0.875009:0.449324:0.875009:0.449324:0.858540:0.443660:0.858540:0.000000
 :@0.108233:0.892244:0.112375:0.892244:0.112375:0.875747:0.108233:0.875747:0.000000
 :@0.108233:0.909595:0.112375:0.909595:0.112375:0.893097:0.108233:0.893097:0.000000
                = cos (0) = 1,5708,   =               = 0,5  .:@0.131968:0.909595:0.471059:0.909601:0.471059:0.893104:0.131968:0.893097:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.139481:0.909711:0.145145:0.909711:0.145145:0.893242:0.139481:0.893242:0.000000
–1:@0.237645:0.903248:0.248720:0.903248:0.248720:0.893630:0.237645:0.893630:0.000000:0.000000
t:@0.340344:0.909717:0.346008:0.909717:0.346008:0.893248:0.340344:0.893248:0.000000
s:@0.461927:0.909717:0.468304:0.909717:0.468304:0.893248:0.461927:0.893248:0.000000
Cuando  = 0,5 segundos, el objeto está en el punto de equilibrio.:@0.131971:0.944303:0.593214:0.944303:0.593214:0.927805:0.131971:0.927805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.193138:0.944418:0.198802:0.944418:0.198802:0.927950:0.193138:0.927950:0.000000
R:@0.243688:0.096282:0.256993:0.096282:0.256993:0.083419:0.243688:0.083419:0.000000
     |      :@0.256993:0.097369:0.339004:0.097369:0.339004:0.080871:0.256993:0.080871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
\:@0.262000:0.097369:0.267549:0.097369:0.263673:0.080871:0.258124:0.080871:0.000000
kπ k:@0.270824:0.097484:0.314287:0.097484:0.314287:0.081015:0.270824:0.081015:0.000000:0.000000:0.000000:0.000000
:@0.318429:0.097152:0.334477:0.097152:0.334477:0.082505:0.318429:0.082505:0.000000
Z   R:@0.339389:0.096282:0.390340:0.096282:0.390340:0.083419:0.339389:0.083419:0.000000:0.000000:0.000000:0.000000:0.000000
→:@0.356287:0.105467:0.372432:0.105467:0.372432:0.085605:0.356287:0.085605:0.000000
.:@0.390340:0.097369:0.393095:0.097369:0.393095:0.080871:0.390340:0.080871:0.000000
x   csc ( ) =              .:@0.243693:0.132070:0.397794:0.132070:0.397794:0.115572:0.243693:0.115572:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
→:@0.255830:0.140169:0.271974:0.140169:0.271974:0.120306:0.255830:0.120306:0.000000
x:@0.308673:0.132186:0.316148:0.132186:0.316148:0.115717:0.308673:0.115717:0.000000
1:@0.362695:0.124638:0.371191:0.124638:0.371191:0.108140:0.362695:0.108140:0.000000
sen( ):@0.345241:0.140977:0.388665:0.140977:0.388665:0.124479:0.345241:0.124479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.375237:0.141092:0.382712:0.141092:0.382712:0.124624:0.375237:0.124624:0.000000
1:@0.213006:0.310783:0.221502:0.310783:0.221502:0.294285:0.213006:0.294285:0.000000
sen(– ):@0.190292:0.327121:0.244216:0.327121:0.244216:0.310624:0.190292:0.310624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.230788:0.327237:0.238263:0.327237:0.238263:0.310768:0.230788:0.310768:0.000000
1:@0.297466:0.310783:0.305962:0.310783:0.305962:0.294285:0.297466:0.294285:0.000000
–sen( ):@0.274676:0.327121:0.328753:0.327121:0.328753:0.310624:0.274676:0.310624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.315325:0.327237:0.322800:0.327237:0.322800:0.310768:0.315325:0.310768:0.000000
k:@0.311818:0.597229:0.320064:0.597229:0.320064:0.580760:0.311818:0.580760:0.000000
m:@0.308543:0.613567:0.323339:0.613567:0.323339:0.597099:0.308543:0.597099:0.000000
k:@0.470576:0.867519:0.478821:0.867519:0.478821:0.851051:0.470576:0.851051:0.000000
m:@0.467301:0.883858:0.482096:0.883858:0.482096:0.867389:0.467301:0.867389:0.000000
19,6:@0.303819:0.798143:0.332062:0.798143:0.332062:0.781645:0.303819:0.781645:0.000000:0.000000:0.000000:0.000000
1,99:@0.303819:0.814481:0.332062:0.814481:0.332062:0.797984:0.303819:0.797984:0.000000:0.000000:0.000000:0.000000
19,6:@0.287554:0.832624:0.315797:0.832624:0.315797:0.816127:0.287554:0.816127:0.000000:0.000000:0.000000:0.000000
1,99:@0.287554:0.848963:0.315797:0.848963:0.315797:0.832465:0.287554:0.832465:0.000000:0.000000:0.000000:0.000000
1,5708:@0.369125:0.902262:0.414360:0.902262:0.414360:0.885765:0.369125:0.885765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3,1384:@0.369125:0.918601:0.414360:0.918601:0.414360:0.902103:0.369125:0.902103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.168337:0.902247:0.176583:0.902247:0.176583:0.885779:0.168337:0.885779:0.000000
m:@0.165062:0.918586:0.179858:0.918586:0.179858:0.902117:0.165062:0.902117:0.000000
En la Figura 5.13., se muestra :@0.638108:0.467053:0.824525:0.467053:0.824525:0.451990:0.638108:0.451990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una parte del gráfico del con-:@0.638108:0.482895:0.828765:0.482895:0.828765:0.467832:0.638108:0.467832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
junto  (:@0.638108:0.498737:0.692795:0.498737:0.692795:0.483674:0.638108:0.483674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
G Csc:@0.676912:0.498842:0.714308:0.498842:0.714308:0.483806:0.676912:0.483806:0.000000:0.000000:0.000000:0.000000:0.000000
) al que lo denomi-:@0.714308:0.498737:0.838281:0.498737:0.838281:0.483674:0.714308:0.483674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
namos representación gráfica :@0.638108:0.514579:0.832511:0.514579:0.832511:0.499516:0.638108:0.499516:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la función cosecante. :@0.638108:0.530421:0.798191:0.530421:0.798191:0.515358:0.638108:0.515358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.787313:0.670322:0.798794:0.670322:0.798794:0.660298:0.787313:0.660298:0.000000
 :@0.798794:0.671030:0.801675:0.671030:0.801675:0.659554:0.798794:0.659554:0.000000
Figura 5.13.:@0.801675:0.671030:0.856154:0.671030:0.856154:0.659554:0.801675:0.659554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.839668:0.613044:0.844218:0.613044:0.844218:0.603019:0.839668:0.603019:0.000000
1:@0.725370:0.598651:0.729063:0.598651:0.729063:0.591478:0.725370:0.591478:0.000000
1:@0.716717:0.608747:0.720411:0.608747:0.720411:0.601575:0.716717:0.601575:0.000000
–1:@0.725286:0.616436:0.733126:0.616436:0.733126:0.609263:0.725286:0.609263:0.000000:0.000000
y:@0.714112:0.552012:0.718791:0.552012:0.718791:0.541987:0.714112:0.541987:0.000000
y:@0.759891:0.556910:0.764119:0.556910:0.764119:0.547852:0.759891:0.547852:0.000000
 = csc( ).:@0.764119:0.556846:0.797453:0.556846:0.797453:0.547772:0.764119:0.547772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.788552:0.556910:0.792663:0.556910:0.792663:0.547852:0.788552:0.547852:0.000000
π:@0.736309:0.608094:0.740380:0.608094:0.740380:0.601639:0.736309:0.601639:0.000000
2:@0.736678:0.614380:0.740003:0.614380:0.740003:0.607925:0.736678:0.607925:0.000000
π:@0.698840:0.608094:0.702911:0.608094:0.702911:0.601639:0.698840:0.601639:0.000000
2:@0.699210:0.614380:0.702534:0.614380:0.702534:0.607925:0.699210:0.607925:0.000000
2π:@0.664496:0.608094:0.671892:0.608094:0.671892:0.601639:0.664496:0.601639:0.000000:0.000000
2:@0.666532:0.614380:0.669856:0.614380:0.669856:0.607925:0.666532:0.607925:0.000000
π:@0.754590:0.608094:0.758661:0.608094:0.758661:0.601639:0.754590:0.601639:0.000000
–π:@0.679807:0.608094:0.687987:0.608094:0.687987:0.601639:0.679807:0.601639:0.000000:0.000000
–2π:@0.641278:0.608094:0.652781:0.608094:0.652781:0.601639:0.641278:0.601639:0.000000:0.000000:0.000000
2π:@0.789644:0.608094:0.797040:0.608094:0.797040:0.601639:0.789644:0.601639:0.000000:0.000000
3π:@0.825988:0.608094:0.833383:0.608094:0.833383:0.601639:0.825988:0.601639:0.000000:0.000000
3π:@0.772042:0.608094:0.779437:0.608094:0.779437:0.601639:0.772042:0.601639:0.000000:0.000000
2:@0.774077:0.614380:0.777402:0.614380:0.777402:0.607925:0.774077:0.607925:0.000000
3π:@0.808607:0.608094:0.816003:0.608094:0.816003:0.601639:0.808607:0.601639:0.000000:0.000000
2:@0.810643:0.614380:0.813967:0.614380:0.813967:0.607925:0.810643:0.607925:0.000000
–:@0.692800:0.610669:0.696908:0.610669:0.696908:0.604213:0.692800:0.604213:0.000000
–:@0.659283:0.610669:0.663392:0.610669:0.663392:0.604213:0.659283:0.604213:0.000000
Shutterstock, 598826750:@0.872255:0.812604:0.872255:0.744430:0.860786:0.744430:0.860786:0.812604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática y TIC:@0.685042:0.756481:0.809720:0.756481:0.809720:0.741009:0.685042:0.741009:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La calculadora debe estar en :@0.638498:0.779029:0.825510:0.779029:0.825510:0.763966:0.638498:0.763966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
modo de radianes para resolver :@0.638498:0.794871:0.845565:0.794871:0.845565:0.779808:0.638498:0.779808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
problemas que :@0.638498:0.810713:0.738971:0.810713:0.738971:0.795650:0.638498:0.795650:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
impliquen uso :@0.638498:0.826555:0.735400:0.826555:0.735400:0.811492:0.638498:0.811492:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de funciones :@0.638498:0.842397:0.725338:0.842397:0.725338:0.827334:0.638498:0.827334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trigonomé-:@0.638498:0.858239:0.712095:0.858239:0.712095:0.843176:0.638498:0.843176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tricas.:@0.638498:0.874081:0.675578:0.874081:0.675578:0.859018:0.638498:0.859018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.684804:0.727431:0.831589:0.727431:0.831589:0.711959:0.684804:0.711959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000