231:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000 Pensamiento numérico y variacional:@0.607258:0.043660:0.930454:0.043660:0.930454:0.024915:0.607258:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 DBA 1 (Ev. 4) Interpreta y justifica cálculos numéricos al solucionar problemas.:@0.081493:0.971336:0.488734:0.971336:0.488734:0.959909:0.081493:0.959909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejemplo 9:@0.073089:0.136390:0.148872:0.136390:0.148872:0.119720:0.073089:0.119720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Evaluemos:@0.073089:0.175692:0.155526:0.175692:0.155526:0.159023:0.073089:0.159023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.155424:0.175692:0.168567:0.175692:0.168567:0.159980:0.155424:0.159980:0.000000:0.000000:0.000000 #:@0.159511:0.176275:0.164628:0.176275:0.164628:0.158621:0.159511:0.158621:0.000000 cos x sen x dx :@0.168622:0.175692:0.274114:0.175692:0.274114:0.160257:0.168622:0.160257:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.191484:0.175692:0.200467:0.175692:0.200467:0.159980:0.191484:0.159980:0.000000 8:@0.234594:0.175692:0.243577:0.175692:0.243577:0.159980:0.234594:0.159980:0.000000 5:@0.274170:0.175138:0.289503:0.175138:0.289503:0.161422:0.274170:0.161422:0.000000 :@0.289411:0.175692:0.302554:0.175692:0.302554:0.159980:0.289411:0.159980:0.000000:0.000000:0.000000 #:@0.293497:0.176275:0.298615:0.176275:0.298615:0.158621:0.293497:0.158621:0.000000 sen x cos x dx :@0.302609:0.175692:0.408101:0.175692:0.408101:0.160257:0.302609:0.160257:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 8:@0.326060:0.175692:0.335042:0.175692:0.335042:0.159980:0.326060:0.159980:0.000000 5:@0.368580:0.175692:0.377563:0.175692:0.377563:0.159980:0.368580:0.159980:0.000000 y utilicemos las identidades de producto, :@0.408156:0.175692:0.710081:0.175692:0.710081:0.159980:0.408156:0.159980:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 en este caso :@0.073144:0.197119:0.166666:0.197119:0.166666:0.181406:0.073144:0.181406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 sen x cos x :@0.166506:0.197119:0.251971:0.197119:0.251971:0.181683:0.166506:0.181683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 8:@0.189957:0.197119:0.198939:0.197119:0.198939:0.181406:0.189957:0.181406:0.000000 5:@0.232367:0.197119:0.241350:0.197119:0.241350:0.181406:0.232367:0.181406:0.000000 5 :@0.251915:0.196564:0.291309:0.196568:0.291309:0.182852:0.251915:0.182848:0.000000:0.000000:0.000000:0.000000 1:@0.274706:0.189939:0.283688:0.189939:0.283688:0.174226:0.274706:0.174226:0.000000 2:@0.274706:0.206331:0.283688:0.206331:0.283688:0.190618:0.274706:0.190618:0.000000 # :@0.291217:0.197705:0.300844:0.197705:0.300844:0.180051:0.291217:0.180051:0.000000:0.000000 (:@0.300752:0.197123:0.305630:0.197123:0.305630:0.181410:0.300752:0.181410:0.000000 sen x:@0.305556:0.197123:0.354262:0.197123:0.354262:0.181687:0.305556:0.181687:0.000000:0.000000:0.000000:0.000000:0.000000 13 :@0.329007:0.197123:0.377418:0.197123:0.377418:0.181410:0.329007:0.181410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.358146:0.196568:0.373479:0.196568:0.373479:0.182852:0.358146:0.182852:0.000000 sen x:@0.377345:0.197123:0.417159:0.197123:0.417159:0.181687:0.377345:0.181687:0.000000:0.000000:0.000000:0.000000:0.000000 3 ):@0.400795:0.197123:0.421964:0.197123:0.421964:0.181410:0.400795:0.181410:0.000000:0.000000:0.000000 :@0.421964:0.196568:0.426566:0.196568:0.426566:0.182852:0.421964:0.182852:0.000000 # :@0.073091:0.237007:0.082718:0.237007:0.082718:0.219353:0.073091:0.219353:0.000000:0.000000 sen x cos x dx :@0.082626:0.236425:0.187884:0.236425:0.187884:0.220990:0.082626:0.220990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 8:@0.106077:0.236425:0.115060:0.236425:0.115060:0.220712:0.106077:0.220712:0.000000 5:@0.148487:0.236425:0.157470:0.236425:0.157470:0.220712:0.148487:0.220712:0.000000 5 :@0.191900:0.235870:0.231365:0.235869:0.231365:0.222153:0.191900:0.222155:0.000000:0.000000:0.000000:0.000000 1:@0.214762:0.229240:0.223744:0.229240:0.223744:0.213527:0.214762:0.213527:0.000000 2:@0.214762:0.245632:0.223744:0.245632:0.223744:0.229920:0.214762:0.229920:0.000000 # :@0.231273:0.237006:0.240900:0.237006:0.240900:0.219352:0.231273:0.219352:0.000000:0.000000 (:@0.240808:0.236424:0.245686:0.236424:0.245686:0.220711:0.240808:0.220711:0.000000 sen x:@0.245612:0.236424:0.294318:0.236424:0.294318:0.220988:0.245612:0.220988:0.000000:0.000000:0.000000:0.000000:0.000000 13 :@0.269063:0.236424:0.317474:0.236424:0.317474:0.220711:0.269063:0.220711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.298202:0.235869:0.313535:0.235869:0.313535:0.222153:0.298202:0.222153:0.000000 sen x dx:@0.317400:0.236424:0.378586:0.236424:0.378586:0.220988:0.317400:0.220988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3 ) :@0.340851:0.236424:0.382562:0.236424:0.382562:0.220711:0.340851:0.220711:0.000000:0.000000:0.000000:0.000000:0.000000 5 :@0.382489:0.235869:0.421934:0.235869:0.421934:0.222153:0.382489:0.222153:0.000000:0.000000:0.000000:0.000000 1:@0.405330:0.229240:0.414313:0.229240:0.414313:0.213527:0.405330:0.213527:0.000000 2:@0.405330:0.245632:0.414313:0.245632:0.414313:0.229920:0.405330:0.229920:0.000000 1:@0.422062:0.240022:0.426149:0.240022:0.426149:0.216740:0.422062:0.216740:0.000000 # :@0.426770:0.237007:0.436397:0.237007:0.436397:0.219353:0.426770:0.219353:0.000000:0.000000 sen x:@0.436305:0.236425:0.485010:0.236425:0.485010:0.220990:0.436305:0.220990:0.000000:0.000000:0.000000:0.000000:0.000000 13 :@0.459755:0.236425:0.508167:0.236425:0.508167:0.220712:0.459755:0.220712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.488894:0.235870:0.504227:0.235870:0.504227:0.222155:0.488894:0.222155:0.000000 #:@0.508093:0.237007:0.513210:0.237007:0.513210:0.219353:0.508093:0.219353:0.000000 sen x dx:@0.513118:0.236425:0.574304:0.236425:0.574304:0.220990:0.513118:0.220990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3 ):@0.536569:0.236425:0.557737:0.236425:0.557737:0.220712:0.536569:0.220712:0.000000:0.000000:0.000000 2:@0.574463:0.241720:0.578549:0.241720:0.578549:0.218438:0.574463:0.218438:0.000000 :@0.073089:0.287073:0.077120:0.287073:0.077120:0.271360:0.073089:0.271360:0.000000 5 2 :@0.191900:0.286518:0.256044:0.286518:0.256044:0.272803:0.191900:0.272803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.214762:0.279888:0.223744:0.279888:0.223744:0.264175:0.214762:0.264175:0.000000 2:@0.214762:0.296280:0.223744:0.296280:0.223744:0.280567:0.214762:0.280567:0.000000 1:@0.231494:0.291371:0.235580:0.291371:0.235580:0.268089:0.231494:0.268089:0.000000 cos x:@0.255982:0.279888:0.303454:0.279888:0.303454:0.264453:0.255982:0.264453:0.000000:0.000000:0.000000:0.000000:0.000000 13:@0.278439:0.279888:0.296202:0.279888:0.296202:0.264175:0.278439:0.264175:0.000000:0.000000 13:@0.270745:0.296280:0.288710:0.296280:0.288710:0.280567:0.270745:0.280567:0.000000:0.000000 2 :@0.303399:0.286517:0.327752:0.286517:0.327752:0.272801:0.303399:0.272801:0.000000:0.000000:0.000000 cos x:@0.332074:0.279888:0.370766:0.279888:0.370766:0.264453:0.332074:0.264453:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.354531:0.279888:0.363514:0.279888:0.363514:0.264175:0.354531:0.264175:0.000000 3:@0.346929:0.296280:0.355912:0.296280:0.355912:0.280567:0.346929:0.280567:0.000000 2:@0.375315:0.291187:0.379401:0.291187:0.379401:0.267905:0.375315:0.267905:0.000000 1 5 2 :@0.380022:0.286518:0.472073:0.286517:0.472073:0.272801:0.380022:0.272803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 C :@0.424034:0.287073:0.437176:0.287073:0.437176:0.271638:0.424034:0.271638:0.000000:0.000000 1:@0.455470:0.279888:0.464453:0.279888:0.464453:0.264175:0.455470:0.264175:0.000000 2:@0.455470:0.296280:0.464453:0.296280:0.464453:0.280567:0.455470:0.280567:0.000000 1:@0.472202:0.291371:0.476289:0.291371:0.476289:0.268089:0.472202:0.268089:0.000000 cos x:@0.476939:0.279888:0.524412:0.279888:0.524412:0.264453:0.476939:0.264453:0.000000:0.000000:0.000000:0.000000:0.000000 13:@0.499396:0.279888:0.517159:0.279888:0.517159:0.264175:0.499396:0.264175:0.000000:0.000000 13:@0.491702:0.296280:0.509668:0.296280:0.509668:0.280567:0.491702:0.280567:0.000000:0.000000 1 :@0.524357:0.286517:0.548709:0.286517:0.548709:0.272801:0.524357:0.272801:0.000000:0.000000:0.000000 cos x:@0.553032:0.279888:0.591724:0.279888:0.591724:0.264453:0.553032:0.264453:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.575489:0.279888:0.584471:0.279888:0.584471:0.264175:0.575489:0.264175:0.000000 3:@0.567886:0.296280:0.576869:0.296280:0.576869:0.280567:0.567886:0.280567:0.000000 2:@0.596272:0.291187:0.600358:0.291187:0.600358:0.267905:0.596272:0.267905:0.000000 1 :@0.600979:0.286518:0.625332:0.286518:0.625332:0.272803:0.600979:0.272803:0.000000:0.000000:0.000000 C.:@0.625240:0.287073:0.638401:0.287073:0.638401:0.271638:0.625240:0.271638:0.000000:0.000000 Ejemplo 10:@0.073096:0.323227:0.158248:0.323227:0.158248:0.306558:0.073096:0.306558:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Evaluemos:@0.073096:0.359382:0.155533:0.359382:0.155533:0.342712:0.073096:0.342712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 #:@0.092240:0.410611:0.097357:0.410611:0.097357:0.392957:0.092240:0.392957:0.000000 :@0.097265:0.409474:0.101867:0.409474:0.101867:0.395758:0.097265:0.395758:0.000000 1:@0.102327:0.402836:0.111310:0.402836:0.111310:0.387123:0.102327:0.387123:0.000000 2:@0.111107:0.402281:0.126440:0.402281:0.126440:0.388565:0.111107:0.388565:0.000000 tan x:@0.126238:0.402836:0.162334:0.402836:0.162334:0.387400:0.126238:0.387400:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.149762:0.396772:0.154999:0.396772:0.154999:0.387611:0.149762:0.387611:0.000000 sec x:@0.115083:0.419228:0.149583:0.419225:0.149583:0.403790:0.115083:0.403793:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.136891:0.413162:0.142127:0.413162:0.142127:0.404001:0.136891:0.404001:0.000000 dx :@0.162818:0.410017:0.201197:0.410017:0.201197:0.394582:0.162818:0.394582:0.000000:0.000000:0.000000:0.000000:0.000000 5 :@0.182643:0.409462:0.210751:0.409462:0.210751:0.395747:0.182643:0.395747:0.000000:0.000000:0.000000 #:@0.201124:0.410599:0.206241:0.410599:0.206241:0.392945:0.201124:0.392945:0.000000 1 (:@0.211152:0.402836:0.239941:0.402836:0.239941:0.387123:0.211152:0.387123:0.000000:0.000000:0.000000 2:@0.219932:0.402281:0.235266:0.402281:0.235266:0.388565:0.219932:0.388565:0.000000 sec x:@0.239739:0.402836:0.273518:0.402836:0.273518:0.387400:0.239739:0.387400:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.260944:0.396772:0.266181:0.396772:0.266181:0.387611:0.260944:0.387611:0.000000 2:@0.273315:0.402281:0.288648:0.402281:0.288648:0.388565:0.273315:0.388565:0.000000 1):@0.288446:0.402836:0.302104:0.402836:0.302104:0.387123:0.288446:0.387123:0.000000:0.000000 sec x:@0.239372:0.419228:0.273879:0.419225:0.273879:0.403790:0.239372:0.403793:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.261188:0.413162:0.266425:0.413162:0.266425:0.404001:0.261188:0.404001:0.000000 dx :@0.302502:0.410017:0.340881:0.410017:0.340881:0.394582:0.302502:0.394582:0.000000:0.000000:0.000000:0.000000:0.000000 5 :@0.322327:0.409462:0.350435:0.409462:0.350435:0.395747:0.322327:0.395747:0.000000:0.000000:0.000000 #:@0.340808:0.410599:0.345925:0.410599:0.345925:0.392945:0.340808:0.392945:0.000000 2:@0.350498:0.402836:0.359481:0.402836:0.359481:0.387123:0.350498:0.387123:0.000000 2:@0.359279:0.402281:0.374612:0.402281:0.374612:0.388565:0.359279:0.388565:0.000000 sec x:@0.374409:0.402836:0.408188:0.402836:0.408188:0.387400:0.374409:0.387400:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.395615:0.396772:0.400851:0.396772:0.400851:0.387611:0.395615:0.387611:0.000000 sec x:@0.362097:0.419228:0.396595:0.419225:0.396595:0.403790:0.362097:0.403793:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.383904:0.413162:0.389141:0.413162:0.389141:0.404001:0.383904:0.404001:0.000000 dx :@0.408247:0.410017:0.446626:0.410017:0.446626:0.394582:0.408247:0.394582:0.000000:0.000000:0.000000:0.000000:0.000000 5 :@0.428072:0.409462:0.456179:0.409462:0.456179:0.395747:0.428072:0.395747:0.000000:0.000000:0.000000 #:@0.446552:0.410599:0.451670:0.410599:0.451670:0.392945:0.446552:0.392945:0.000000 1:@0.456312:0.414646:0.460398:0.414646:0.460398:0.391364:0.456312:0.391364:0.000000 2:@0.473929:0.402836:0.482912:0.402836:0.482912:0.387123:0.473929:0.387123:0.000000 sec x:@0.461173:0.419228:0.495671:0.419225:0.495671:0.403790:0.461173:0.403793:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.482980:0.413162:0.488217:0.413162:0.488217:0.404001:0.482980:0.404001:0.000000 2:@0.495727:0.409462:0.511060:0.409462:0.511060:0.395747:0.495727:0.395747:0.000000 1:@0.510968:0.410017:0.519951:0.410017:0.519951:0.394304:0.510968:0.394304:0.000000 2:@0.520093:0.415141:0.524179:0.415141:0.524179:0.391859:0.520093:0.391859:0.000000 dx :@0.524812:0.410021:0.544692:0.410021:0.544692:0.394585:0.524812:0.394585:0.000000:0.000000:0.000000 5 :@0.544640:0.409466:0.564483:0.409466:0.564483:0.395750:0.544640:0.395750:0.000000:0.000000 #:@0.564391:0.410603:0.569508:0.410603:0.569508:0.392949:0.564391:0.392949:0.000000 (2:@0.569416:0.410021:0.583203:0.410021:0.583203:0.394308:0.569416:0.394308:0.000000:0.000000 cos x:@0.583111:0.410021:0.618625:0.410021:0.618625:0.394585:0.583111:0.394585:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.605979:0.403957:0.611216:0.403957:0.611216:0.394796:0.605979:0.394796:0.000000 1):@0.618551:0.410021:0.651537:0.410021:0.651537:0.394308:0.618551:0.394308:0.000000:0.000000:0.000000:0.000000 2:@0.622509:0.409466:0.637842:0.409466:0.637842:0.395750:0.622509:0.395750:0.000000 dx :@0.651445:0.410021:0.671325:0.410021:0.671325:0.394585:0.651445:0.394585:0.000000:0.000000:0.000000 5:@0.671270:0.409466:0.686603:0.409466:0.686603:0.395750:0.671270:0.395750:0.000000 2 :@0.120543:0.460667:0.142448:0.460667:0.142448:0.444955:0.120543:0.444955:0.000000:0.000000:0.000000:0.000000 #:@0.133392:0.461250:0.138509:0.461250:0.138509:0.443596:0.133392:0.443596:0.000000 cos xdx:@0.142374:0.460667:0.194176:0.460669:0.194176:0.445233:0.142374:0.445232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.165253:0.454605:0.170490:0.454605:0.170490:0.445444:0.165253:0.445444:0.000000 :@0.194114:0.460669:0.198145:0.460669:0.198145:0.444956:0.194114:0.444956:0.000000 2 :@0.198071:0.460114:0.217914:0.460114:0.217914:0.446398:0.198071:0.446398:0.000000:0.000000 #:@0.217822:0.461251:0.222939:0.461251:0.222939:0.443597:0.217822:0.443597:0.000000 :@0.222847:0.460669:0.226879:0.460669:0.226879:0.444956:0.222847:0.444956:0.000000 dx :@0.226805:0.460669:0.246685:0.460669:0.246685:0.445233:0.226805:0.445233:0.000000:0.000000:0.000000 5 :@0.246630:0.460114:0.266473:0.460114:0.266473:0.446398:0.246630:0.446398:0.000000:0.000000 2 :@0.266381:0.460669:0.279321:0.460669:0.279321:0.444956:0.266381:0.444956:0.000000:0.000000 # :@0.279229:0.461251:0.288856:0.461251:0.288856:0.443597:0.279229:0.443597:0.000000:0.000000 1:@0.291873:0.453484:0.300856:0.453484:0.300856:0.437771:0.291873:0.437771:0.000000 2:@0.291873:0.469876:0.300856:0.469876:0.300856:0.454163:0.291873:0.454163:0.000000 1:@0.303874:0.460113:0.341370:0.460113:0.341370:0.446397:0.303874:0.446397:0.000000:0.000000:0.000000 (1 :@0.308384:0.460667:0.326129:0.460667:0.326129:0.444955:0.308384:0.444955:0.000000:0.000000:0.000000 cos x dx:@0.341278:0.460667:0.401875:0.460667:0.401875:0.445232:0.341278:0.445232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 ) :@0.364140:0.460667:0.405851:0.460667:0.405851:0.444955:0.364140:0.444955:0.000000:0.000000:0.000000:0.000000:0.000000 2 :@0.405777:0.460113:0.425620:0.460113:0.425620:0.446397:0.405777:0.446397:0.000000:0.000000 #:@0.425528:0.461250:0.430645:0.461250:0.430645:0.443596:0.425528:0.443596:0.000000 :@0.430553:0.460667:0.434584:0.460667:0.434584:0.444955:0.430553:0.444955:0.000000 dx :@0.434511:0.460667:0.454391:0.460667:0.454391:0.445232:0.434511:0.445232:0.000000:0.000000:0.000000 5 :@0.454335:0.460113:0.474178:0.460113:0.474178:0.446397:0.454335:0.446397:0.000000:0.000000 # :@0.474086:0.461250:0.483713:0.461250:0.483713:0.443596:0.474086:0.443596:0.000000:0.000000 cos xdx:@0.483621:0.460667:0.539127:0.460667:0.539127:0.445232:0.483621:0.445232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.506483:0.460667:0.515466:0.460667:0.515466:0.444955:0.506483:0.444955:0.000000 :@0.539064:0.460667:0.543095:0.460667:0.543095:0.444955:0.539064:0.444955:0.000000 5:@0.543022:0.460113:0.558355:0.460113:0.558355:0.446397:0.543022:0.446397:0.000000 :@0.558263:0.461250:0.562865:0.461250:0.562865:0.443596:0.558263:0.443596:0.000000 1:@0.565855:0.453484:0.574838:0.453484:0.574838:0.437771:0.565855:0.437771:0.000000 2:@0.565855:0.469876:0.574838:0.469876:0.574838:0.454163:0.565855:0.454163:0.000000 :@0.577856:0.460113:0.582458:0.460113:0.582458:0.446397:0.577856:0.446397:0.000000 sen x :@0.582366:0.460667:0.625421:0.460667:0.625421:0.445232:0.582366:0.445232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.605817:0.460667:0.614800:0.460667:0.614800:0.444955:0.605817:0.444955:0.000000 1 :@0.625366:0.460113:0.645209:0.460113:0.645209:0.446397:0.625366:0.446397:0.000000:0.000000 C.:@0.645117:0.460667:0.658278:0.460667:0.658278:0.445232:0.645117:0.445232:0.000000:0.000000 Ejemplo 11:@0.073093:0.496822:0.158245:0.496822:0.158245:0.480152:0.073093:0.480152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Evaluemos :@0.073093:0.547468:0.159358:0.547468:0.159358:0.530799:0.073093:0.530799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 #:@0.159245:0.549522:0.166223:0.549522:0.166223:0.525448:0.159245:0.525448:0.000000 :@0.166098:0.546912:0.170700:0.546912:0.170700:0.533197:0.166098:0.533197:0.000000 x dx:@0.189575:0.539092:0.218458:0.539092:0.218458:0.523657:0.189575:0.523657:0.000000:0.000000:0.000000:0.000000 2:@0.196828:0.533028:0.202065:0.533028:0.202065:0.523868:0.196828:0.523868:0.000000 4:@0.182196:0.560518:0.191179:0.560518:0.191179:0.544806:0.182196:0.544806:0.000000 x:@0.191179:0.560518:0.220593:0.560518:0.220593:0.545083:0.191179:0.545083:0.000000:0.000000:0.000000:0.000000 1:@0.194492:0.559964:0.209825:0.559964:0.209825:0.546248:0.194492:0.546248:0.000000 2:@0.220597:0.554461:0.225834:0.554461:0.225834:0.545300:0.220597:0.545300:0.000000 :@0.226936:0.547467:0.230838:0.547467:0.230838:0.530798:0.226936:0.530798:0.000000 Hacemos 2:@0.073088:0.583622:0.184820:0.583622:0.184820:0.567909:0.073088:0.567909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.145299:0.583622:0.152754:0.583622:0.152754:0.568186:0.145299:0.568186:0.000000 5:@0.156638:0.583067:0.171971:0.583067:0.171971:0.569351:0.156638:0.569351:0.000000 sen:@0.184728:0.583622:0.208234:0.583622:0.208234:0.568186:0.184728:0.568186:0.000000:0.000000:0.000000 u :@0.208179:0.583067:0.221892:0.583067:0.221892:0.569351:0.208179:0.569351:0.000000:0.000000 entonces :@0.221800:0.583622:0.293268:0.583622:0.293268:0.567909:0.221800:0.567909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 dx :@0.293146:0.583622:0.313026:0.583622:0.313026:0.568186:0.293146:0.568186:0.000000:0.000000:0.000000 5:@0.312971:0.583067:0.328304:0.583067:0.328304:0.569351:0.312971:0.569351:0.000000 2:@0.328212:0.583622:0.341153:0.583622:0.341153:0.567909:0.328212:0.567909:0.000000:0.000000 cos d:@0.341060:0.583622:0.382293:0.583622:0.382293:0.568186:0.341060:0.568186:0.000000:0.000000:0.000000:0.000000:0.000000 u u:@0.363922:0.583067:0.391423:0.583067:0.391423:0.569351:0.363922:0.569351:0.000000:0.000000:0.000000 y sustituimos:@0.391331:0.583622:0.490619:0.583622:0.490619:0.567909:0.391331:0.567909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 # :@0.103615:0.624973:0.116742:0.624973:0.116742:0.600899:0.103615:0.600899:0.000000:0.000000 4:@0.118098:0.613970:0.127081:0.613970:0.127081:0.598258:0.118098:0.598258:0.000000 sen:@0.126878:0.613970:0.150127:0.613970:0.150127:0.598535:0.126878:0.598535:0.000000:0.000000:0.000000 2 :@0.149923:0.607906:0.166393:0.607906:0.166393:0.598746:0.149923:0.598746:0.000000:0.000000:0.000000 u:@0.155042:0.613415:0.164245:0.613415:0.164245:0.599700:0.155042:0.599700:0.000000 2:@0.166275:0.613970:0.175258:0.613970:0.175258:0.598258:0.166275:0.598258:0.000000 cos d:@0.175055:0.613970:0.215772:0.613970:0.215772:0.598535:0.175055:0.598535:0.000000:0.000000:0.000000:0.000000:0.000000 u u:@0.197512:0.613415:0.224773:0.613415:0.224773:0.599700:0.197512:0.599700:0.000000:0.000000:0.000000 4:@0.130123:0.635397:0.139106:0.635397:0.139106:0.619684:0.130123:0.619684:0.000000 :@0.139106:0.635397:0.142419:0.635397:0.142419:0.619961:0.139106:0.619961:0.000000 2 :@0.142419:0.634842:0.162354:0.634842:0.162354:0.621126:0.142419:0.621126:0.000000:0.000000 4:@0.162354:0.635397:0.171337:0.635397:0.171337:0.619684:0.162354:0.619684:0.000000 sen:@0.171337:0.635397:0.198304:0.635397:0.198304:0.619961:0.171337:0.619961:0.000000:0.000000:0.000000:0.000000 2:@0.198306:0.629339:0.203542:0.629339:0.203542:0.620179:0.198306:0.620179:0.000000 u:@0.203542:0.634848:0.212745:0.634848:0.212745:0.621133:0.203542:0.621133:0.000000 :@0.226129:0.624973:0.232404:0.624973:0.232404:0.600899:0.226129:0.600899:0.000000 5 :@0.232279:0.623422:0.259337:0.623422:0.259337:0.604719:0.232279:0.604719:0.000000:0.000000 # :@0.259212:0.624973:0.272340:0.624973:0.272340:0.600899:0.259212:0.600899:0.000000:0.000000 4:@0.273695:0.614558:0.282678:0.614558:0.282678:0.598845:0.273695:0.598845:0.000000 sen:@0.282475:0.614558:0.305724:0.614558:0.305724:0.599122:0.282475:0.599122:0.000000:0.000000:0.000000 2 :@0.305521:0.608494:0.321991:0.608494:0.321991:0.599333:0.305521:0.599333:0.000000:0.000000:0.000000 u:@0.310640:0.614003:0.319844:0.614003:0.319844:0.600287:0.310640:0.600287:0.000000 2:@0.321872:0.614558:0.330854:0.614558:0.330854:0.598845:0.321872:0.598845:0.000000 cos d:@0.330652:0.614558:0.371369:0.614558:0.371369:0.599122:0.330652:0.599122:0.000000:0.000000:0.000000:0.000000:0.000000 u u:@0.353109:0.614003:0.380370:0.614003:0.380370:0.600287:0.353109:0.600287:0.000000:0.000000:0.000000 2 1:@0.281339:0.635984:0.311398:0.635984:0.311398:0.620271:0.281339:0.620271:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.311398:0.635984:0.314711:0.635984:0.314711:0.620549:0.311398:0.620549:0.000000 2 :@0.314711:0.635429:0.334646:0.635429:0.334646:0.621714:0.314711:0.621714:0.000000:0.000000 sen:@0.334646:0.635984:0.358300:0.635984:0.358300:0.620549:0.334646:0.620549:0.000000:0.000000:0.000000 2:@0.358291:0.629926:0.363528:0.629926:0.363528:0.620766:0.358291:0.620766:0.000000 u:@0.363529:0.635436:0.372733:0.635436:0.372733:0.621720:0.363529:0.621720:0.000000 :@0.381725:0.624973:0.388001:0.624973:0.388001:0.600899:0.381725:0.600899:0.000000 5 :@0.387875:0.623422:0.440789:0.623422:0.440789:0.604719:0.387875:0.604719:0.000000:0.000000:0.000000:0.000000 4 :@0.414808:0.622918:0.427749:0.622918:0.427749:0.607205:0.414808:0.607205:0.000000:0.000000 #:@0.427662:0.624973:0.434640:0.624973:0.434640:0.600899:0.427662:0.600899:0.000000 sen cos d:@0.443832:0.613577:0.523947:0.613577:0.523947:0.598142:0.443832:0.598142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 :@0.466877:0.607513:0.483348:0.607513:0.483348:0.598352:0.466877:0.598352:0.000000:0.000000:0.000000 u:@0.471996:0.613022:0.481200:0.613022:0.481200:0.599306:0.471996:0.599306:0.000000 u u:@0.505687:0.613022:0.532948:0.613022:0.532948:0.599306:0.505687:0.599306:0.000000:0.000000:0.000000 cos:@0.472259:0.635003:0.495323:0.635003:0.495323:0.619568:0.472259:0.619568:0.000000:0.000000:0.000000 u:@0.495323:0.634448:0.504527:0.634448:0.504527:0.620733:0.495323:0.620733:0.000000 5 :@0.535990:0.623422:0.569198:0.623422:0.569198:0.604719:0.535990:0.604719:0.000000:0.000000:0.000000 4 :@0.569073:0.622918:0.582013:0.622918:0.582013:0.607205:0.569073:0.607205:0.000000:0.000000 # :@0.581924:0.624973:0.595052:0.624973:0.595052:0.600899:0.581924:0.600899:0.000000:0.000000 sen:@0.594927:0.622918:0.618433:0.622918:0.618433:0.607482:0.594927:0.607482:0.000000:0.000000:0.000000 2:@0.618382:0.616854:0.623619:0.616854:0.623619:0.607693:0.618382:0.607693:0.000000 u u 5:@0.623453:0.622363:0.675214:0.622363:0.675214:0.608647:0.623453:0.608647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d:@0.637074:0.622918:0.646333:0.622918:0.646333:0.607482:0.637074:0.607482:0.000000 4 :@0.101405:0.662220:0.114345:0.662220:0.114345:0.646508:0.101405:0.646508:0.000000:0.000000 #:@0.114261:0.664274:0.121239:0.664274:0.121239:0.640200:0.114261:0.640200:0.000000 :@0.121113:0.662723:0.127388:0.662723:0.127388:0.644020:0.121113:0.644020:0.000000 1:@0.127331:0.651887:0.136314:0.651887:0.136314:0.636174:0.127331:0.636174:0.000000 2:@0.136111:0.651332:0.151445:0.651332:0.151445:0.637617:0.136111:0.637617:0.000000 cos:@0.151242:0.651887:0.173902:0.651887:0.173902:0.636452:0.151242:0.636452:0.000000:0.000000:0.000000 2:@0.173699:0.651887:0.182682:0.651887:0.182682:0.636174:0.173699:0.636174:0.000000 u:@0.182479:0.651332:0.191683:0.651332:0.191683:0.637617:0.182479:0.637617:0.000000 2:@0.155832:0.672689:0.163181:0.672689:0.163181:0.659834:0.155832:0.659834:0.000000 5 :@0.191625:0.662723:0.249287:0.662723:0.249287:0.644020:0.191625:0.644020:0.000000:0.000000:0.000000:0.000000:0.000000 d:@0.197775:0.662219:0.207034:0.662219:0.207034:0.646784:0.197775:0.646784:0.000000 u:@0.206960:0.661664:0.216164:0.661664:0.216164:0.647949:0.206960:0.647949:0.000000 2 (1 :@0.249161:0.662219:0.303960:0.662219:0.303960:0.646506:0.249161:0.646506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 #:@0.262010:0.662801:0.267127:0.662801:0.267127:0.645147:0.262010:0.645147:0.000000 2:@0.284687:0.661664:0.300021:0.661664:0.300021:0.647949:0.284687:0.647949:0.000000 cos:@0.303886:0.662219:0.326811:0.662219:0.326811:0.646784:0.303886:0.646784:0.000000:0.000000:0.000000 2 ):@0.326748:0.662219:0.349647:0.662219:0.349647:0.646506:0.326748:0.646506:0.000000:0.000000:0.000000 u u 5 u 2:@0.335657:0.661664:0.434228:0.661664:0.434228:0.647949:0.335657:0.647949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d:@0.349573:0.662219:0.358832:0.662219:0.358832:0.646784:0.349573:0.646784:0.000000 2( :@0.392131:0.662219:0.438167:0.662219:0.438167:0.646506:0.392131:0.646506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.441186:0.655034:0.450169:0.655034:0.450169:0.639321:0.441186:0.639321:0.000000 2:@0.441186:0.671426:0.450169:0.671426:0.450169:0.655713:0.441186:0.655713:0.000000 :@0.453187:0.661663:0.457789:0.661663:0.457789:0.647947:0.453187:0.647947:0.000000 sen:@0.457697:0.662218:0.481203:0.662218:0.481203:0.646782:0.457697:0.646782:0.000000:0.000000:0.000000 2 ) 2:@0.481148:0.662218:0.569079:0.662218:0.569079:0.646505:0.481148:0.646505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u 1 5 u 2 :@0.490057:0.661663:0.602452:0.661663:0.602452:0.647947:0.490057:0.647947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 C:@0.527111:0.662218:0.537014:0.662218:0.537014:0.646782:0.527111:0.646782:0.000000 sen:@0.602360:0.662218:0.625866:0.662218:0.625866:0.646782:0.602360:0.646782:0.000000:0.000000:0.000000 2:@0.625811:0.662218:0.634793:0.662218:0.634793:0.646505:0.625811:0.646505:0.000000 u 1:@0.634720:0.661663:0.663674:0.661663:0.663674:0.647947:0.634720:0.647947:0.000000:0.000000:0.000000 :@0.663582:0.662218:0.667614:0.662218:0.667614:0.646505:0.663582:0.646505:0.000000 C:@0.667540:0.662218:0.677443:0.662218:0.677443:0.646782:0.667540:0.646782:0.000000 Teniendo en cuenta que la respuesta debe estar dada en función de y como :@0.073096:0.701520:0.634977:0.701520:0.634977:0.685807:0.073096:0.685807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.565785:0.701520:0.573240:0.701520:0.573240:0.686085:0.565785:0.686085:0.000000 sen:@0.634517:0.701520:0.658023:0.701520:0.658023:0.686085:0.634517:0.686085:0.000000:0.000000:0.000000 u 5 :@0.657968:0.700965:0.691028:0.700965:0.691028:0.687250:0.657968:0.687250:0.000000:0.000000:0.000000:0.000000 x:@0.694418:0.694335:0.701873:0.694335:0.701873:0.678900:0.694418:0.678900:0.000000 2:@0.693663:0.710727:0.702646:0.710727:0.702646:0.695015:0.693663:0.695015:0.000000 :@0.705757:0.701519:0.709788:0.701519:0.709788:0.685806:0.705757:0.685806:0.000000:0.000000 entonces utilizamos un triángulo rectángulo.:@0.073099:0.719797:0.397895:0.719797:0.397895:0.704084:0.073099:0.704084:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.194646:0.816074:0.203715:0.816074:0.203715:0.800361:0.194646:0.800361:0.000000 x:@0.308585:0.826128:0.316112:0.826128:0.316112:0.810693:0.308585:0.810693:0.000000 :@0.231439:0.875850:0.233789:0.875850:0.233789:0.866689:0.231439:0.866689:0.000000 4:@0.196083:0.903340:0.205066:0.903340:0.205066:0.887627:0.196083:0.887627:0.000000 x:@0.205066:0.903340:0.229419:0.902591:0.229419:0.887156:0.205066:0.887905:0.000000:0.000000:0.000000 2 :@0.208379:0.902785:0.228314:0.902785:0.228314:0.889069:0.208379:0.889069:0.000000:0.000000 2:@0.230809:0.897096:0.236046:0.897096:0.236046:0.887936:0.230809:0.887936:0.000000 u:@0.134332:0.883616:0.143536:0.883616:0.143536:0.869900:0.134332:0.869900:0.000000 Funciones :@0.742665:0.182034:0.816642:0.182034:0.816642:0.166880:0.742665:0.166880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 trigonométricas pares :@0.742665:0.197163:0.901185:0.197163:0.901185:0.182009:0.742665:0.182009:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 e impares:@0.742665:0.212292:0.809831:0.212292:0.809831:0.197138:0.742665:0.197138:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.797790:0.240038:0.802940:0.240038:0.802940:0.230946:0.797790:0.230946:0.000000 t:@0.848784:0.257906:0.852108:0.257906:0.852108:0.248813:0.848784:0.248813:0.000000 -t:@0.848784:0.289623:0.855150:0.289623:0.855150:0.280531:0.848784:0.280531:0.000000:0.000000 -1:@0.757468:0.282921:0.765661:0.282921:0.765661:0.273829:0.757468:0.273829:0.000000:0.000000 0:@0.800159:0.281136:0.805310:0.281136:0.805310:0.272044:0.800159:0.272044:0.000000 2:@0.888504:0.281136:0.893655:0.281136:0.893655:0.272044:0.888504:0.272044:0.000000 (:@0.835240:0.239146:0.837901:0.239146:0.837901:0.230575:0.835240:0.230575:0.000000 x, y:@0.837861:0.239146:0.849507:0.239146:0.849507:0.230726:0.837861:0.230726:0.000000:0.000000:0.000000:0.000000 ) (:@0.849487:0.239146:0.867389:0.239146:0.867389:0.230575:0.849487:0.230575:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.854256:0.238843:0.862620:0.238843:0.862620:0.231362:0.854256:0.231362:0.000000 Cost, Sent:@0.867339:0.239146:0.904234:0.239146:0.904234:0.230726:0.867339:0.230726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ):@0.904227:0.239146:0.906888:0.239146:0.906888:0.230575:0.904227:0.230575:0.000000 (:@0.813995:0.310622:0.816655:0.310622:0.816655:0.302052:0.813995:0.302052:0.000000 x, -y :@0.816615:0.310622:0.835622:0.310622:0.835622:0.302203:0.816615:0.302203:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ):@0.831194:0.310622:0.833854:0.310622:0.833854:0.302052:0.831194:0.302052:0.000000 5:@0.835581:0.310320:0.843945:0.310320:0.843945:0.302839:0.835581:0.302839:0.000000 (:@0.843895:0.310622:0.848714:0.310622:0.848714:0.302052:0.843895:0.302052:0.000000:0.000000 Cos -t , Sent -t:@0.848664:0.310622:0.902249:0.310622:0.902249:0.302203:0.848664:0.302203:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ):@0.862369:0.310622:0.873504:0.310622:0.873504:0.302052:0.862369:0.302052:0.000000:0.000000:0.000000 ( )):@0.893745:0.310622:0.907500:0.310622:0.907500:0.302052:0.893745:0.302052:0.000000:0.000000:0.000000:0.000000 Teniendo en :@0.742665:0.336779:0.828754:0.336779:0.828754:0.322495:0.742665:0.322495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cuenta la relación :@0.742665:0.350647:0.862707:0.350647:0.862707:0.336363:0.742665:0.336363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 entre las funciones :@0.742665:0.364515:0.870390:0.364515:0.870390:0.350231:0.742665:0.350231:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 trigonométricas de y :@0.742665:0.378384:0.891713:0.378384:0.891713:0.364099:0.742665:0.364099:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 t:@0.872269:0.378384:0.877155:0.378384:0.877155:0.364352:0.872269:0.364352:0.000000 las de :@0.742665:0.392252:0.784198:0.392252:0.784198:0.377968:0.742665:0.377968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.784081:0.391748:0.798021:0.391748:0.798021:0.379279:0.784081:0.379279:0.000000 t:@0.797937:0.392252:0.802823:0.392252:0.802823:0.378220:0.797937:0.378220:0.000000 de la figura :@0.802756:0.392252:0.883380:0.392252:0.883380:0.377968:0.802756:0.377968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 podemos concluir::@0.742648:0.406120:0.866322:0.406120:0.866322:0.391836:0.742648:0.391836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Sen:@0.742648:0.423556:0.765764:0.423556:0.765764:0.409524:0.742648:0.409524:0.000000:0.000000:0.000000 ( ) :@0.765707:0.423556:0.817817:0.423556:0.817817:0.409272:0.765707:0.409272:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 5 2 5 2:@0.770075:0.423052:0.877423:0.423052:0.877423:0.410583:0.770075:0.410583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 t:@0.787528:0.423556:0.792415:0.423556:0.792415:0.409524:0.787528:0.409524:0.000000 y:@0.835705:0.423556:0.842499:0.423556:0.842499:0.409524:0.835705:0.409524:0.000000 :@0.842432:0.423556:0.863550:0.423556:0.863550:0.409272:0.842432:0.409272:0.000000:0.000000:0.000000 Sen t:@0.877339:0.423556:0.908220:0.423556:0.908220:0.409524:0.877339:0.409524:0.000000:0.000000:0.000000:0.000000:0.000000 Cos:@0.742665:0.440992:0.765564:0.440992:0.765564:0.426960:0.742665:0.426960:0.000000:0.000000:0.000000 ( ) :@0.765507:0.440992:0.845377:0.440992:0.845377:0.426708:0.765507:0.426708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 5 5:@0.769874:0.440488:0.841796:0.440488:0.841796:0.428019:0.769874:0.428019:0.000000:0.000000:0.000000:0.000000:0.000000 t:@0.787328:0.440992:0.792214:0.440992:0.792214:0.426960:0.787328:0.426960:0.000000 x:@0.817549:0.440992:0.824326:0.440992:0.824326:0.426960:0.817549:0.426960:0.000000 Cos t:@0.845310:0.440992:0.875974:0.440992:0.875974:0.426960:0.845310:0.426960:0.000000:0.000000:0.000000:0.000000:0.000000 Tan:@0.742682:0.458428:0.765748:0.458428:0.765748:0.444396:0.742682:0.444396:0.000000:0.000000:0.000000 ( ) :@0.765691:0.458428:0.800363:0.458428:0.800363:0.444144:0.765691:0.444144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 5:@0.770058:0.457924:0.814219:0.457924:0.814219:0.445455:0.770058:0.445455:0.000000:0.000000:0.000000 t:@0.787512:0.458428:0.792398:0.458428:0.792398:0.444396:0.787512:0.444396:0.000000 2:@0.817840:0.448026:0.830386:0.448026:0.830386:0.436804:0.817840:0.436804:0.000000 y:@0.830310:0.448480:0.836425:0.448480:0.836425:0.435851:0.830310:0.435851:0.000000 x:@0.823910:0.460723:0.830370:0.460723:0.830370:0.447867:0.823910:0.447867:0.000000 :@0.840074:0.458446:0.861193:0.458446:0.861193:0.444162:0.840074:0.444162:0.000000:0.000000:0.000000 5 2:@0.843672:0.457942:0.875065:0.457942:0.875065:0.445473:0.843672:0.445473:0.000000:0.000000:0.000000 Tan t:@0.874981:0.458446:0.905812:0.458446:0.905812:0.444414:0.874981:0.444414:0.000000:0.000000:0.000000:0.000000:0.000000 Cot:@0.742683:0.483030:0.764678:0.483030:0.764678:0.468998:0.742683:0.468998:0.000000:0.000000:0.000000 ( ) :@0.764621:0.483030:0.799294:0.483030:0.799294:0.468746:0.764621:0.468746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 5:@0.768989:0.482526:0.813150:0.482526:0.813150:0.470057:0.768989:0.470057:0.000000:0.000000:0.000000 t:@0.786442:0.483030:0.791329:0.483030:0.791329:0.468998:0.786442:0.468998:0.000000 x:@0.823013:0.475898:0.829112:0.475898:0.829112:0.463270:0.823013:0.463270:0.000000 2:@0.816778:0.487688:0.829323:0.487688:0.829323:0.476466:0.816778:0.476466:0.000000 y:@0.829248:0.488142:0.835362:0.488142:0.835362:0.475513:0.829248:0.475513:0.000000 :@0.839002:0.483034:0.860120:0.483034:0.860120:0.468750:0.839002:0.468750:0.000000:0.000000:0.000000 5 2:@0.842600:0.482530:0.873992:0.482530:0.873992:0.470061:0.842600:0.470061:0.000000:0.000000:0.000000 Cot t:@0.873909:0.483034:0.903668:0.483034:0.903668:0.469002:0.873909:0.469002:0.000000:0.000000:0.000000:0.000000:0.000000 Sec:@0.742682:0.507619:0.764124:0.507619:0.764124:0.493587:0.742682:0.493587:0.000000:0.000000:0.000000 ( ) :@0.764068:0.507619:0.798740:0.507619:0.798740:0.493335:0.764068:0.493335:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 5:@0.768435:0.507115:0.812596:0.507115:0.812596:0.494646:0.768435:0.494646:0.000000:0.000000:0.000000 t:@0.785888:0.507619:0.790775:0.507619:0.790775:0.493587:0.785888:0.493587:0.000000 1:@0.821835:0.500280:0.829184:0.500280:0.829184:0.487424:0.821835:0.487424:0.000000 x:@0.822286:0.512523:0.828747:0.512523:0.828747:0.499667:0.822286:0.499667:0.000000 :@0.838450:0.507624:0.859568:0.507624:0.859568:0.493340:0.838450:0.493340:0.000000:0.000000:0.000000 5:@0.842047:0.507120:0.855987:0.507120:0.855987:0.494651:0.842047:0.494651:0.000000 Sec t:@0.859501:0.507624:0.888708:0.507624:0.888708:0.493592:0.859501:0.493592:0.000000:0.000000:0.000000:0.000000:0.000000 CSC:@0.742682:0.532208:0.767883:0.532208:0.767883:0.518176:0.742682:0.518176:0.000000:0.000000:0.000000 ( ) :@0.767833:0.532208:0.802505:0.532208:0.802505:0.517924:0.767833:0.517924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 5:@0.772200:0.531704:0.816361:0.531704:0.816361:0.519235:0.772200:0.519235:0.000000:0.000000:0.000000 t:@0.789654:0.532208:0.794540:0.532208:0.794540:0.518176:0.789654:0.518176:0.000000 1:@0.825600:0.524184:0.832949:0.524184:0.832949:0.511328:0.825600:0.511328:0.000000 2:@0.819982:0.535973:0.832527:0.535973:0.832527:0.524751:0.819982:0.524751:0.000000 y:@0.832452:0.536427:0.838567:0.536427:0.838567:0.523798:0.832452:0.523798:0.000000 :@0.842215:0.532213:0.863333:0.532213:0.863333:0.517929:0.842215:0.517929:0.000000:0.000000:0.000000 5 2:@0.845812:0.531709:0.877205:0.531709:0.877205:0.519240:0.845812:0.519240:0.000000:0.000000:0.000000 Csc t:@0.877122:0.532213:0.906506:0.532213:0.906506:0.518181:0.877122:0.518181:0.000000:0.000000:0.000000:0.000000:0.000000 De estas seis identidades, :@0.742682:0.549650:0.913404:0.549650:0.913404:0.535365:0.742682:0.535365:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 se concluye que las :@0.742682:0.563518:0.874538:0.563518:0.874538:0.549233:0.742682:0.549233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 funciones coseno y :@0.742682:0.577386:0.873925:0.577386:0.873925:0.563102:0.742682:0.563102:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 secante son pares y las :@0.742682:0.591254:0.895902:0.591254:0.895902:0.576970:0.742682:0.576970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 funciones seno, tangente, :@0.742682:0.605122:0.916178:0.605122:0.916178:0.590838:0.742682:0.590838:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cotangente y cosecante :@0.742682:0.618991:0.905037:0.618991:0.905037:0.604706:0.742682:0.604706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 son impares.:@0.742682:0.632859:0.825585:0.632859:0.825585:0.618574:0.742682:0.618574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Competencia :@0.742665:0.145303:0.851225:0.145303:0.851225:0.128356:0.742665:0.128356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 matemática :@0.742665:0.161945:0.840141:0.161945:0.840141:0.144998:0.742665:0.144998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 En consecuencia, la respuesta será:@0.356116:0.754949:0.604938:0.754949:0.604938:0.739237:0.356116:0.739237:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.356116:0.794673:0.365099:0.794673:0.365099:0.778960:0.356116:0.778960:0.000000 u 2 :@0.365025:0.794118:0.398489:0.794118:0.398489:0.780402:0.365025:0.780402:0.000000:0.000000:0.000000:0.000000 sen:@0.398397:0.794673:0.421903:0.794673:0.421903:0.779237:0.398397:0.779237:0.000000:0.000000:0.000000 2:@0.421848:0.794673:0.430831:0.794673:0.430831:0.778960:0.421848:0.778960:0.000000 u 1:@0.430757:0.794118:0.459712:0.794118:0.459712:0.780402:0.430757:0.780402:0.000000:0.000000:0.000000 :@0.459620:0.794673:0.477512:0.794673:0.477512:0.778960:0.459620:0.778960:0.000000:0.000000:0.000000 C:@0.463577:0.794673:0.473481:0.794673:0.473481:0.779237:0.463577:0.779237:0.000000 5 :@0.356134:0.836999:0.375977:0.836999:0.375977:0.823283:0.356134:0.823283:0.000000:0.000000 2:@0.375885:0.837553:0.384868:0.837553:0.384868:0.821841:0.375885:0.821841:0.000000 sen:@0.384794:0.837553:0.408301:0.837553:0.408301:0.822118:0.384794:0.822118:0.000000:0.000000:0.000000 2:@0.408222:0.831160:0.417161:0.831160:0.417161:0.823163:0.408222:0.823163:0.000000 1:@0.417108:0.831483:0.422344:0.831483:0.422344:0.822323:0.417108:0.822323:0.000000 1 2:@0.422518:0.842154:0.446691:0.844118:0.446691:0.820836:0.422518:0.818872:0.000000:0.000000:0.000000 x:@0.431146:0.830362:0.438601:0.830362:0.438601:0.814927:0.431146:0.814927:0.000000 2:@0.430372:0.846754:0.439355:0.846754:0.439355:0.831042:0.430372:0.831042:0.000000 2 :@0.447312:0.836992:0.471665:0.836992:0.471665:0.823277:0.447312:0.823277:0.000000:0.000000:0.000000 2:@0.471573:0.837547:0.480556:0.837547:0.480556:0.821834:0.471573:0.821834:0.000000 sen cos C :@0.480482:0.837547:0.576715:0.837547:0.576715:0.822112:0.480482:0.822112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u:@0.503933:0.836992:0.513137:0.836992:0.513137:0.823277:0.503933:0.823277:0.000000 u 1:@0.535906:0.836992:0.563591:0.836992:0.563591:0.823277:0.535906:0.823277:0.000000:0.000000:0.000000 5:@0.356104:0.879873:0.371437:0.879873:0.371437:0.866157:0.356104:0.866157:0.000000 2:@0.371345:0.880427:0.380328:0.880427:0.380328:0.864715:0.371345:0.864715:0.000000 sen:@0.380255:0.880427:0.403761:0.880427:0.403761:0.864992:0.380255:0.864992:0.000000:0.000000:0.000000 2:@0.403714:0.874035:0.412653:0.874035:0.412653:0.866039:0.403714:0.866039:0.000000 1:@0.412599:0.874358:0.417836:0.874358:0.417836:0.865198:0.412599:0.865198:0.000000 1 2:@0.418009:0.885144:0.442182:0.886992:0.442182:0.863710:0.418009:0.861862:0.000000:0.000000:0.000000 x:@0.426637:0.873237:0.434092:0.873237:0.434092:0.857802:0.426637:0.857802:0.000000 2:@0.425883:0.889630:0.434866:0.889630:0.434866:0.873917:0.425883:0.873917:0.000000 2 :@0.442804:0.879868:0.467157:0.879868:0.467157:0.866152:0.442804:0.866152:0.000000:0.000000:0.000000 2:@0.467065:0.880422:0.476048:0.880422:0.476048:0.864710:0.467065:0.864710:0.000000 x :@0.479841:0.873237:0.514470:0.873118:0.514470:0.857682:0.479841:0.857802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.479086:0.889630:0.488069:0.889630:0.488069:0.873917:0.479086:0.873917:0.000000 :@0.491088:0.880421:0.494401:0.880421:0.494401:0.864986:0.491088:0.864986:0.000000 4:@0.514268:0.873118:0.523250:0.873118:0.523250:0.857405:0.514268:0.857405:0.000000 2:@0.523048:0.872563:0.545011:0.872563:0.545011:0.858847:0.523048:0.858847:0.000000:0.000000 :@0.527446:0.867054:0.529796:0.867054:0.529796:0.857893:0.527446:0.857893:0.000000 x:@0.544809:0.873118:0.552264:0.873118:0.552264:0.857682:0.544809:0.857682:0.000000 2:@0.552061:0.867054:0.557298:0.867054:0.557298:0.857893:0.552061:0.857893:0.000000 2:@0.523513:0.894550:0.532496:0.894550:0.532496:0.878838:0.523513:0.878838:0.000000 :@0.561616:0.880419:0.564929:0.880419:0.564929:0.864983:0.561616:0.864983:0.000000 1:@0.564856:0.879864:0.580189:0.879864:0.580189:0.866148:0.564856:0.866148:0.000000 :@0.580097:0.880419:0.584128:0.880419:0.584128:0.864706:0.580097:0.864706:0.000000 C:@0.584055:0.880419:0.593958:0.880419:0.593958:0.864983:0.584055:0.864983:0.000000 5:@0.356118:0.922744:0.371451:0.922744:0.371451:0.909029:0.356118:0.909029:0.000000 2:@0.371359:0.923299:0.380342:0.923299:0.380342:0.907586:0.371359:0.907586:0.000000 sen:@0.380268:0.923299:0.403774:0.923299:0.403774:0.907864:0.380268:0.907864:0.000000:0.000000:0.000000 2:@0.403712:0.916911:0.412651:0.916911:0.412651:0.908915:0.403712:0.908915:0.000000 1:@0.412598:0.917234:0.417835:0.917234:0.417835:0.908074:0.412598:0.908074:0.000000 1 2:@0.418008:0.928019:0.442182:0.929868:0.442182:0.906586:0.418008:0.904737:0.000000:0.000000:0.000000 x:@0.426636:0.916113:0.434091:0.916113:0.434091:0.900677:0.426636:0.900677:0.000000 2:@0.425881:0.932505:0.434864:0.932505:0.434864:0.916792:0.425881:0.916792:0.000000 2 :@0.442802:0.922743:0.467155:0.922743:0.467155:0.909028:0.442802:0.909028:0.000000:0.000000:0.000000 x :@0.469377:0.915209:0.489276:0.915209:0.489276:0.899774:0.469377:0.899774:0.000000:0.000000:0.000000:0.000000:0.000000 4:@0.489073:0.915209:0.498056:0.915209:0.498056:0.899497:0.489073:0.899497:0.000000 2:@0.497853:0.914654:0.519818:0.914654:0.519818:0.900939:0.497853:0.900939:0.000000:0.000000 :@0.502253:0.909145:0.504603:0.909145:0.504603:0.899985:0.502253:0.899985:0.000000 x:@0.519616:0.915209:0.527071:0.915209:0.527071:0.899774:0.519616:0.899774:0.000000 2:@0.526868:0.909145:0.532105:0.909145:0.532105:0.899985:0.526868:0.899985:0.000000 2:@0.496250:0.936642:0.505233:0.936642:0.505233:0.920929:0.496250:0.920929:0.000000 1:@0.534335:0.922746:0.554178:0.922746:0.554178:0.909030:0.534335:0.909030:0.000000:0.000000 :@0.554086:0.923301:0.558117:0.923301:0.558117:0.907588:0.554086:0.907588:0.000000 C:@0.558044:0.923301:0.567947:0.923301:0.567947:0.907865:0.558044:0.907865:0.000000 En la evaluación de :@0.744288:0.720433:0.875073:0.720433:0.875073:0.706148:0.744288:0.706148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 integrales con sustitución :@0.744288:0.735562:0.916920:0.735562:0.916920:0.721277:0.744288:0.721277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 trigonométrica, es :@0.744288:0.750690:0.867938:0.750690:0.867938:0.736406:0.744288:0.736406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 importante revisar muy :@0.744288:0.765819:0.902212:0.765819:0.902212:0.751535:0.744288:0.751535:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 bien la identidad por :@0.744288:0.780948:0.885806:0.780948:0.885806:0.766664:0.744288:0.766664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 utilizar y que facilite la :@0.744288:0.796077:0.892562:0.796077:0.892562:0.781793:0.744288:0.781793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 solución de la integral.:@0.744288:0.811206:0.891929:0.811206:0.891929:0.796922:0.744288:0.796922:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Competencia :@0.740294:0.677150:0.848854:0.677150:0.848854:0.660203:0.740294:0.660203:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 matemática :@0.740294:0.693792:0.837769:0.693792:0.837769:0.676845:0.740294:0.676845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000