A 67:@0.925269:0.967627:0.939026:0.966558:0.939026:0.950778:0.925269:0.951847:0.000000:0.000000:0.000000:0.000000
Shutterstock, 2167194239:@0.868190:0.870431:0.868190:0.798931:0.856722:0.798931:0.856722:0.870431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Análisis gráfico de la proyección en X y Y:@0.108021:0.084183:0.418997:0.084183:0.418997:0.067237:0.108021:0.067237:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tenemos claro que vivimos en tres dimensiones, pero para entender :@0.108021:0.101071:0.599686:0.101071:0.599686:0.084574:0.108021:0.084574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciertos temas en física, estudiamos cómo funciona la velocidad en :@0.108021:0.118422:0.599723:0.118422:0.599723:0.101924:0.108021:0.101924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos dimensiones.:@0.108021:0.135773:0.230258:0.135773:0.230258:0.119275:0.108021:0.119275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dibujamos un eje de coordenadas en X y en Y.:@0.108021:0.170474:0.436664:0.170474:0.436664:0.153977:0.108021:0.153977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dibujamos el vector (v,) cuyo origen coincida con el punto (0,0).:@0.108021:0.205176:0.563102:0.205176:0.563102:0.188678:0.108021:0.188678:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dibujamos las perpendiculares a los ejes.:@0.108021:0.239877:0.394569:0.239877:0.394569:0.223380:0.108021:0.223380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dibujamos un segmento encaminado desde el origen hasta los pun-:@0.108021:0.274579:0.595617:0.274579:0.595617:0.258081:0.108021:0.258081:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tos de intersección de las perpendiculares. Con los ejes conseguimos :@0.108021:0.291930:0.599696:0.291930:0.599696:0.275432:0.108021:0.275432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los vectores (v ) (v ), que son las componentes rectangulares del vec-:@0.108021:0.309280:0.595564:0.309280:0.595564:0.292783:0.108021:0.292783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.209860:0.312558:0.214521:0.312558:0.214521:0.302940:0.209860:0.302940:0.000000
y:@0.238701:0.312558:0.243261:0.312558:0.243261:0.302940:0.238701:0.302940:0.000000
tor  v.:@0.108038:0.326631:0.148456:0.326631:0.148456:0.310133:0.108038:0.310133:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo:@0.108038:0.361795:0.170879:0.361795:0.170879:0.344849:0.108038:0.344849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si las componentes  rectangulares de la rapidez de 40 m/s forman un :@0.108038:0.378683:0.599704:0.378683:0.599704:0.362186:0.108038:0.362186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ángulo de 30° con respecto a la horizontal, hallamos la representación :@0.108038:0.396034:0.599703:0.396034:0.599703:0.379536:0.108038:0.379536:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
analítica y gráfica.:@0.108038:0.413385:0.232528:0.413385:0.232528:0.396887:0.108038:0.396887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Datos:@0.108038:0.448086:0.149805:0.448086:0.149805:0.431589:0.108038:0.431589:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.308704:0.464099:0.316487:0.464099:0.316487:0.447631:0.308704:0.447631:0.000000
=:@0.321265:0.463955:0.336253:0.463955:0.336253:0.446561:0.321265:0.446561:0.000000
40  /:@0.341108:0.463926:0.384436:0.463926:0.384436:0.447486:0.341108:0.447486:0.000000:0.000000:0.000000:0.000000:0.000000
m s:@0.362261:0.464099:0.393779:0.464099:0.393779:0.447631:0.362261:0.447631:0.000000:0.000000:0.000000
θ:@0.319409:0.486308:0.329447:0.486308:0.334870:0.470028:0.324832:0.470028:0.000000
=:@0.337026:0.485643:0.352014:0.485643:0.352014:0.468249:0.337026:0.468249:0.000000
30:@0.356445:0.485614:0.372820:0.485614:0.372820:0.469174:0.356445:0.469174:0.000000:0.000000
°:@0.372474:0.485643:0.380160:0.485643:0.380160:0.468249:0.372474:0.468249:0.000000
v:@0.329281:0.507476:0.337064:0.507476:0.337064:0.491007:0.329281:0.491007:0.000000
x:@0.338073:0.509646:0.342399:0.509646:0.342399:0.500114:0.338073:0.500114:0.000000
=:@0.346658:0.507332:0.361647:0.507332:0.361647:0.489938:0.346658:0.489938:0.000000
?:@0.366078:0.507303:0.371684:0.507303:0.371684:0.490863:0.366078:0.490863:0.000000
v:@0.329165:0.530105:0.336949:0.530105:0.336949:0.513636:0.329165:0.513636:0.000000
y:@0.338178:0.532278:0.342627:0.532278:0.342627:0.522746:0.338178:0.522746:0.000000
=:@0.346764:0.529963:0.361752:0.529963:0.361752:0.512569:0.346764:0.512569:0.000000
?:@0.366183:0.529934:0.371789:0.529934:0.371789:0.513494:0.366183:0.513494:0.000000
Sen:@0.306558:0.582899:0.330736:0.582899:0.330736:0.566430:0.306558:0.566430:0.000000:0.000000:0.000000
θ:@0.334957:0.583420:0.344995:0.583420:0.350418:0.567139:0.340380:0.567139:0.000000
( ):@0.330115:0.584196:0.355777:0.584196:0.355777:0.563498:0.330115:0.563498:0.000000:0.000000:0.000000
=:@0.358856:0.582755:0.373844:0.582755:0.373844:0.565360:0.358856:0.565360:0.000000
v:@0.379373:0.572127:0.387156:0.572127:0.387156:0.555659:0.379373:0.555659:0.000000
y:@0.388382:0.574303:0.392831:0.574303:0.392831:0.564771:0.388382:0.564771:0.000000
v:@0.383043:0.594097:0.390826:0.594097:0.390826:0.577628:0.383043:0.577628:0.000000
Despejamos,:@0.108021:0.622350:0.197913:0.622350:0.197913:0.605852:0.108021:0.605852:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.303678:0.648162:0.311461:0.648162:0.311461:0.631693:0.303678:0.631693:0.000000
y:@0.312683:0.650332:0.317132:0.650332:0.317132:0.640800:0.312683:0.640800:0.000000
=:@0.321268:0.648017:0.336257:0.648017:0.336257:0.630623:0.321268:0.630623:0.000000
v sen:@0.340264:0.648162:0.375577:0.648162:0.375577:0.631693:0.340264:0.631693:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.349376:0.647988:0.353191:0.647988:0.353191:0.631549:0.349376:0.631549:0.000000
θ:@0.379822:0.648682:0.389859:0.648682:0.395282:0.632402:0.385245:0.632402:0.000000
( ):@0.374980:0.649459:0.400641:0.649459:0.400641:0.628760:0.374980:0.628760:0.000000:0.000000:0.000000
v:@0.245882:0.681519:0.253666:0.681519:0.253666:0.665051:0.245882:0.665051:0.000000
y:@0.254887:0.683690:0.259336:0.683690:0.259336:0.674157:0.254887:0.674157:0.000000
=:@0.263472:0.681375:0.278461:0.681375:0.278461:0.663981:0.263472:0.663981:0.000000
40:@0.283316:0.681346:0.299691:0.681346:0.299691:0.664906:0.283316:0.664906:0.000000:0.000000
m:@0.304373:0.672526:0.319168:0.672526:0.319168:0.656057:0.304373:0.656057:0.000000
s:@0.308553:0.692725:0.314930:0.692725:0.314930:0.676256:0.308553:0.676256:0.000000
   :@0.321791:0.681346:0.337126:0.681346:0.337126:0.664906:0.321791:0.664906:0.000000:0.000000:0.000000
⋅:@0.326973:0.681375:0.332329:0.681375:0.332329:0.663981:0.326973:0.663981:0.000000
sen:@0.336914:0.681519:0.359512:0.681519:0.359512:0.665051:0.336914:0.665051:0.000000:0.000000:0.000000
30:@0.366371:0.681346:0.382746:0.681346:0.382746:0.664906:0.366371:0.664906:0.000000:0.000000
° =:@0.382399:0.681375:0.415045:0.681375:0.415045:0.663981:0.382399:0.663981:0.000000:0.000000:0.000000
(:@0.358909:0.682817:0.366403:0.682817:0.366403:0.662118:0.358909:0.662118:0.000000
):@0.389483:0.682817:0.396977:0.682817:0.396977:0.662118:0.389483:0.662118:0.000000
20 m:@0.420998:0.672352:0.456696:0.672352:0.456696:0.655913:0.420998:0.655913:0.000000:0.000000:0.000000:0.000000
s:@0.435601:0.692725:0.441978:0.692725:0.441978:0.676256:0.435601:0.676256:0.000000
Cos:@0.305667:0.720559:0.331790:0.720559:0.331790:0.704119:0.305667:0.704119:0.000000:0.000000:0.000000
θ:@0.336475:0.721253:0.346512:0.721253:0.351935:0.704972:0.341898:0.704972:0.000000
( ):@0.331633:0.722029:0.357294:0.722029:0.357294:0.701330:0.331633:0.701330:0.000000:0.000000:0.000000
=:@0.360375:0.720587:0.375363:0.720587:0.375363:0.703193:0.360375:0.703193:0.000000
v:@0.380893:0.711695:0.388676:0.711695:0.388676:0.695226:0.380893:0.695226:0.000000
x:@0.389692:0.713865:0.394018:0.713865:0.394018:0.704333:0.389692:0.704333:0.000000
v:@0.384457:0.731930:0.392240:0.731930:0.392240:0.715461:0.384457:0.715461:0.000000
Despejamos,:@0.108021:0.759947:0.197913:0.759947:0.197913:0.743450:0.108021:0.743450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.303992:0.778277:0.311775:0.778277:0.311775:0.761809:0.303992:0.761809:0.000000
x:@0.312787:0.780448:0.317113:0.780448:0.317113:0.770916:0.312787:0.770916:0.000000
=:@0.321372:0.778133:0.336360:0.778133:0.336360:0.760739:0.321372:0.760739:0.000000
v cos:@0.340368:0.778277:0.374679:0.778277:0.374679:0.761809:0.340368:0.761809:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.349480:0.778104:0.353295:0.778104:0.353295:0.761664:0.349480:0.761664:0.000000
θ:@0.379090:0.778798:0.389127:0.778798:0.394550:0.762517:0.384513:0.762517:0.000000
( ):@0.374248:0.779575:0.399909:0.779575:0.399909:0.758876:0.374248:0.758876:0.000000:0.000000:0.000000
v:@0.238344:0.802991:0.246127:0.802991:0.246127:0.786522:0.238344:0.786522:0.000000
x:@0.247139:0.805161:0.251465:0.805161:0.251465:0.795629:0.247139:0.795629:0.000000
=:@0.255725:0.802846:0.270713:0.802846:0.270713:0.785452:0.255725:0.785452:0.000000
40   :@0.275568:0.802817:0.308454:0.802817:0.308454:0.786378:0.275568:0.786378:0.000000:0.000000:0.000000:0.000000:0.000000
⋅:@0.298301:0.802846:0.303656:0.802846:0.303656:0.785452:0.298301:0.785452:0.000000
cos:@0.308242:0.802991:0.329838:0.802991:0.329838:0.786522:0.308242:0.786522:0.000000:0.000000:0.000000
30:@0.336870:0.802817:0.353245:0.802817:0.353245:0.786378:0.336870:0.786378:0.000000:0.000000
° =:@0.352898:0.802846:0.385519:0.802846:0.385519:0.785452:0.352898:0.785452:0.000000:0.000000:0.000000
(:@0.329383:0.804288:0.336877:0.804288:0.336877:0.783589:0.329383:0.783589:0.000000
):@0.359957:0.804288:0.367451:0.804288:0.367451:0.783589:0.359957:0.783589:0.000000
34,64  /:@0.389950:0.802817:0.455124:0.802817:0.455124:0.786378:0.389950:0.786378:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m s:@0.432950:0.802991:0.464468:0.802991:0.464468:0.786522:0.432950:0.786522:0.000000:0.000000:0.000000
Como observamos, la velocidad al igual que todo vector podemos :@0.108021:0.845318:0.599740:0.845318:0.599740:0.828820:0.108021:0.828820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
descomponer en sus respectivas proyecciones, según nuestro sistema :@0.108021:0.862669:0.599713:0.862669:0.599713:0.846171:0.108021:0.846171:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de referencia. De esta manera, realizamos las diversas operaciones.:@0.108021:0.880020:0.574638:0.880020:0.574638:0.863522:0.108021:0.863522:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.638286:0.359513:0.641167:0.359513:0.641167:0.348036:0.638286:0.348036:0.000000
Figura 2.8.:@0.641167:0.359513:0.689736:0.359513:0.689736:0.348036:0.641167:0.348036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.660883:0.317432:0.668304:0.317432:0.668304:0.302835:0.660883:0.302835:0.000000
V:@0.654969:0.281750:0.664652:0.281750:0.664652:0.267153:0.654969:0.267153:0.000000
y:@0.664656:0.284467:0.668719:0.284467:0.668719:0.275957:0.664656:0.275957:0.000000
V:@0.720927:0.317432:0.730610:0.317432:0.730610:0.302835:0.720927:0.302835:0.000000
x:@0.730610:0.320147:0.734546:0.320147:0.734546:0.311637:0.730610:0.311637:0.000000
V:@0.741633:0.270230:0.751316:0.270230:0.751316:0.255633:0.741633:0.255633:0.000000
y:@0.655695:0.225400:0.661967:0.225400:0.661967:0.212263:0.655695:0.212263:0.000000
x:@0.837978:0.319694:0.844054:0.319694:0.844054:0.306556:0.837978:0.306556:0.000000
 :@0.638286:0.592777:0.641167:0.592777:0.641167:0.581301:0.638286:0.581301:0.000000
Figura 2.9:@0.641167:0.592777:0.687819:0.592777:0.687819:0.581301:0.641167:0.581301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.834170:0.564916:0.840920:0.564916:0.840920:0.550321:0.834170:0.550321:0.000000
0:@0.659580:0.565960:0.667001:0.565960:0.667001:0.551364:0.659580:0.551364:0.000000
V:@0.654254:0.519659:0.663936:0.519659:0.663936:0.505063:0.654254:0.505063:0.000000
y:@0.663932:0.522371:0.667994:0.522371:0.667994:0.513862:0.663932:0.513862:0.000000
V:@0.729229:0.569514:0.738911:0.569514:0.738911:0.554919:0.729229:0.554919:0.000000
x:@0.738911:0.572228:0.742846:0.572228:0.742846:0.563719:0.738911:0.563719:0.000000
V:@0.792584:0.493655:0.802265:0.493655:0.802265:0.479059:0.792584:0.479059:0.000000
y:@0.655666:0.451478:0.662634:0.451478:0.662634:0.436882:0.655666:0.436882:0.000000
V:@0.803384:0.519638:0.813066:0.519638:0.813066:0.505043:0.803384:0.505043:0.000000
y:@0.813065:0.522352:0.817127:0.522352:0.817127:0.513843:0.813065:0.513843:0.000000
30º:@0.691627:0.554458:0.711861:0.554458:0.711861:0.539863:0.691627:0.539863:0.000000:0.000000:0.000000
Sen:@0.638346:0.407198:0.660106:0.407198:0.660106:0.392376:0.638346:0.392376:0.000000:0.000000:0.000000
θ:@0.663906:0.407667:0.672939:0.407667:0.677820:0.393014:0.668787:0.393014:0.000000
( ):@0.659548:0.408365:0.682643:0.408365:0.682643:0.389736:0.659548:0.389736:0.000000:0.000000:0.000000
=:@0.685415:0.407068:0.698905:0.407068:0.698905:0.391414:0.685415:0.391414:0.000000
v:@0.703881:0.397504:0.710886:0.397504:0.710886:0.382682:0.703881:0.382682:0.000000
y:@0.711988:0.399461:0.715992:0.399461:0.715992:0.390883:0.711988:0.390883:0.000000
v:@0.707183:0.417276:0.714188:0.417276:0.714188:0.402454:0.707183:0.402454:0.000000
Cos:@0.748480:0.406476:0.771991:0.406476:0.771991:0.391681:0.748480:0.391681:0.000000:0.000000:0.000000
θ:@0.776207:0.407101:0.785240:0.407101:0.790121:0.392448:0.781088:0.392448:0.000000
( ):@0.771849:0.407799:0.794944:0.407799:0.794944:0.389170:0.771849:0.389170:0.000000:0.000000:0.000000
=:@0.797716:0.406503:0.811206:0.406503:0.811206:0.390848:0.797716:0.390848:0.000000
v:@0.816182:0.398499:0.823187:0.398499:0.823187:0.383678:0.816182:0.383678:0.000000
x:@0.824102:0.400452:0.827995:0.400452:0.827995:0.391873:0.824102:0.391873:0.000000
v:@0.819389:0.416710:0.826394:0.416710:0.826394:0.401888:0.819389:0.401888:0.000000
Recuerda que…:@0.677681:0.091444:0.800706:0.091444:0.800706:0.073761:0.677681:0.073761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sen:@0.663595:0.132198:0.684474:0.132198:0.684474:0.118224:0.663595:0.118224:0.000000:0.000000:0.000000
θ:@0.687691:0.132788:0.696222:0.132788:0.700832:0.118950:0.692300:0.118950:0.000000
( ):@0.683574:0.133447:0.705386:0.133447:0.705386:0.115853:0.683574:0.115853:0.000000:0.000000:0.000000
=:@0.708004:0.132223:0.720744:0.132223:0.720744:0.117438:0.708004:0.117438:0.000000
Cateto opuesto:@0.725804:0.124554:0.817163:0.124554:0.817163:0.110580:0.725804:0.110580:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hipotenusa:@0.738511:0.141723:0.803915:0.141723:0.803915:0.127749:0.738511:0.127749:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cos:@0.663595:0.171473:0.685800:0.171473:0.685800:0.157499:0.663595:0.157499:0.000000:0.000000:0.000000
θ:@0.689781:0.172063:0.698313:0.172063:0.702923:0.158224:0.694391:0.158224:0.000000
( ):@0.685666:0.172723:0.707479:0.172723:0.707479:0.155129:0.685666:0.155129:0.000000:0.000000:0.000000
=:@0.710096:0.171497:0.722836:0.171497:0.722836:0.156712:0.710096:0.156712:0.000000
Cateto opuesto:@0.727897:0.163828:0.819255:0.163828:0.819255:0.149854:0.727897:0.149854:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hipotenusa:@0.740604:0.180997:0.806008:0.180997:0.806008:0.167024:0.740604:0.167024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las funciones trigonomé-:@0.681451:0.675479:0.846868:0.675479:0.846868:0.660416:0.681451:0.660416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tricas: seno, coseno, tangente, :@0.638708:0.691321:0.833565:0.691321:0.833565:0.676258:0.638708:0.676258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cotangente, secante y cosecan-:@0.638708:0.707163:0.840360:0.707163:0.840360:0.692100:0.638708:0.692100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
te, aparte de la física, también :@0.638708:0.723005:0.834481:0.723005:0.834481:0.707942:0.638708:0.707942:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son muy empleadas en arqui-:@0.638708:0.738847:0.830138:0.738847:0.830138:0.723784:0.638708:0.723784:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tectura, navegación náutica, :@0.638708:0.754689:0.824191:0.754689:0.824191:0.739626:0.638708:0.739626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cartografía.:@0.638708:0.770531:0.710880:0.770531:0.710880:0.755468:0.638708:0.755468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaga :@0.638713:0.890785:0.687840:0.890785:0.687840:0.875524:0.638713:0.875524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cómo se usan en inge-:@0.687840:0.890587:0.833272:0.890587:0.833272:0.875524:0.687840:0.875524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
niería de construcciones.:@0.638713:0.906429:0.798393:0.906429:0.798393:0.891366:0.638713:0.891366:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.680937:0.637328:0.783209:0.637328:0.783209:0.621119:0.680937:0.621119:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.680937:0.649900:0.769003:0.649900:0.769003:0.633691:0.680937:0.633691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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