67:@0.942772:0.974518:0.963274:0.974518:0.963274:0.956333:0.942772:0.956333:0.000000:0.000000
Pensamiento espacial, métrico, numérico y variacional:@0.444548:0.043661:0.926841:0.043661:0.926841:0.024916:0.444548:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3. Evalúa :@0.073089:0.136836:0.156678:0.136836:0.156678:0.120167:0.073089:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen:@0.156577:0.136836:0.181463:0.136836:0.181463:0.120153:0.156577:0.120153:0.000000:0.000000:0.000000
75°:@0.181408:0.136836:0.206000:0.136836:0.206000:0.120167:0.181408:0.120167:0.000000:0.000000:0.000000
sen75°=sen(45°+30°)=sen45°cos30°+sen30°cos45°:@0.103196:0.157056:0.469611:0.157056:0.469611:0.140622:0.103196:0.140622:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 3:@0.134732:0.181247:0.168141:0.181247:0.168141:0.164813:0.134732:0.164813:0.000000:0.000000:0.000000
2 2:@0.130130:0.197320:0.162674:0.197320:0.162674:0.180887:0.130130:0.180887:0.000000:0.000000:0.000000
2:@0.218127:0.181247:0.227110:0.181247:0.227110:0.164813:0.218127:0.164813:0.000000
2:@0.213525:0.197320:0.222508:0.197320:0.222508:0.180887:0.213525:0.180887:0.000000
1:@0.192320:0.181247:0.201303:0.181247:0.201303:0.164813:0.192320:0.164813:0.000000
2:@0.192320:0.197320:0.201303:0.197320:0.201303:0.180887:0.192320:0.180887:0.000000
+:@0.172684:0.188577:0.183655:0.188577:0.183655:0.172143:0.172684:0.172143:0.000000
=:@0.109695:0.188120:0.120665:0.188120:0.120665:0.171713:0.109695:0.171713:0.000000
3 1:@0.168367:0.236063:0.201298:0.236063:0.201298:0.219629:0.168367:0.219629:0.000000:0.000000:0.000000
+:@0.180184:0.236063:0.191155:0.236063:0.191155:0.219629:0.180184:0.219629:0.000000
2:@0.134725:0.227448:0.143708:0.227448:0.143708:0.211015:0.134725:0.211015:0.000000
4:@0.130123:0.243522:0.139106:0.243522:0.139106:0.227088:0.130123:0.227088:0.000000
=:@0.109695:0.234316:0.120665:0.234316:0.120665:0.217910:0.109695:0.217910:0.000000
(:@0.147751:0.238037:0.153959:0.238037:0.153959:0.217122:0.147751:0.217122:0.000000
):@0.202712:0.238037:0.208920:0.238037:0.208920:0.217122:0.202712:0.217122:0.000000
4. Evalúa:@0.073089:0.282217:0.152849:0.282217:0.152849:0.265547:0.073089:0.265547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.270541:0.329032:0.283213:0.329032:0.283213:0.310050:0.270541:0.310050:0.000000
= tan:@0.174246:0.329305:0.218757:0.327693:0.218757:0.308743:0.174246:0.310354:0.000000:0.000000:0.000000:0.000000:0.000000
tan:@0.109514:0.327693:0.137389:0.327693:0.137389:0.308743:0.109514:0.308743:0.000000:0.000000:0.000000
7:@0.144143:0.319403:0.154519:0.319403:0.154519:0.300421:0.144143:0.300421:0.000000
p:@0.154518:0.318150:0.166121:0.318150:0.166121:0.305188:0.154518:0.305188:0.000000
12:@0.144757:0.342728:0.165509:0.342728:0.165509:0.323746:0.144757:0.323746:0.000000:0.000000
4:@0.240942:0.319403:0.251317:0.319403:0.251317:0.300421:0.240942:0.300421:0.000000
p:@0.251317:0.318150:0.262920:0.318150:0.262920:0.305188:0.251317:0.305188:0.000000
12:@0.241556:0.342728:0.262307:0.342728:0.262307:0.323746:0.241556:0.323746:0.000000:0.000000
3:@0.292576:0.319403:0.302951:0.319403:0.302951:0.300421:0.292576:0.300421:0.000000
p:@0.302949:0.318150:0.314552:0.318150:0.314552:0.305188:0.302949:0.305188:0.000000
12:@0.293190:0.342728:0.313941:0.342728:0.313941:0.323746:0.293190:0.323746:0.000000:0.000000
 :@0.330737:0.328302:0.334769:0.328302:0.334769:0.311868:0.330737:0.311868:0.000000
= tan:@0.335958:0.331082:0.381692:0.330342:0.381692:0.310885:0.335958:0.311625:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.439324:0.329865:0.452335:0.329865:0.452335:0.310375:0.439324:0.310375:0.000000
∏:@0.413707:0.319981:0.426696:0.319981:0.426696:0.300524:0.413707:0.300524:0.000000
3:@0.414865:0.343928:0.425518:0.343928:0.425518:0.324438:0.414865:0.324438:0.000000
∏:@0.466720:0.319981:0.479709:0.319981:0.479709:0.300524:0.466720:0.300524:0.000000
4:@0.467878:0.343928:0.478531:0.343928:0.478531:0.324438:0.467878:0.324438:0.000000
  =:@0.501314:0.328302:0.520200:0.328302:0.520200:0.311868:0.501314:0.311868:0.000000:0.000000:0.000000
tan:@0.119043:0.400393:0.141675:0.400393:0.141675:0.385006:0.119043:0.385006:0.000000:0.000000:0.000000
1  tan:@0.107632:0.437123:0.153086:0.437123:0.153086:0.421736:0.107632:0.421736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_ :@0.118715:0.431205:0.130454:0.431205:0.130454:0.415818:0.118715:0.415818:0.000000:0.000000
+:@0.169366:0.400744:0.179655:0.400744:0.179655:0.385331:0.169366:0.385331:0.000000
p:@0.150515:0.391177:0.159936:0.391177:0.159936:0.380652:0.150515:0.380652:0.000000
3:@0.151014:0.411130:0.159439:0.411130:0.159439:0.395718:0.151014:0.395718:0.000000
p:@0.161240:0.427903:0.170661:0.427903:0.170661:0.417378:0.161240:0.417378:0.000000
3:@0.161739:0.447860:0.170163:0.447860:0.170163:0.432447:0.161739:0.432447:0.000000
tan:@0.184371:0.400399:0.207004:0.400399:0.207004:0.385012:0.184371:0.385012:0.000000:0.000000:0.000000
p:@0.215838:0.391177:0.225259:0.391177:0.225259:0.380652:0.215838:0.380652:0.000000
4:@0.216336:0.411130:0.224761:0.411130:0.224761:0.395718:0.216336:0.395718:0.000000
tan:@0.178512:0.436389:0.201144:0.436389:0.201144:0.421002:0.178512:0.421002:0.000000:0.000000:0.000000
p:@0.209989:0.427169:0.219410:0.427169:0.219410:0.416644:0.209989:0.416644:0.000000
4:@0.210488:0.447125:0.218912:0.447125:0.218912:0.431712:0.210488:0.431712:0.000000
2:@0.282350:0.382868:0.291332:0.382868:0.291332:0.366434:0.282350:0.366434:0.000000
3:@0.287030:0.366794:0.296013:0.366794:0.296013:0.350360:0.287030:0.350360:0.000000
3:@0.386933:0.436651:0.395916:0.436651:0.395916:0.420218:0.386933:0.420218:0.000000
3 1:@0.365397:0.416820:0.396458:0.417119:0.396458:0.400685:0.365397:0.400386:0.000000:0.000000:0.000000
2:@0.333450:0.366794:0.342433:0.366794:0.342433:0.350360:0.333450:0.350360:0.000000
2:@0.328848:0.382867:0.337831:0.382867:0.337831:0.366433:0.328848:0.366433:0.000000
2:@0.333450:0.401046:0.342433:0.401046:0.342433:0.384612:0.333450:0.384612:0.000000
2:@0.328848:0.417119:0.337831:0.417119:0.337831:0.400685:0.328848:0.400685:0.000000
2:@0.333450:0.470003:0.342433:0.470003:0.342433:0.453569:0.333450:0.453569:0.000000
2:@0.328848:0.486076:0.337831:0.486076:0.337831:0.469643:0.328848:0.469643:0.000000
2:@0.282089:0.415233:0.291071:0.415233:0.291071:0.398799:0.282089:0.398799:0.000000
1:@0.282089:0.399159:0.291071:0.399159:0.291071:0.382726:0.282089:0.382726:0.000000
2:@0.306016:0.482838:0.314999:0.482838:0.314999:0.466404:0.306016:0.466404:0.000000
1:@0.306016:0.466764:0.314999:0.466764:0.314999:0.450331:0.306016:0.450331:0.000000
+:@0.305747:0.389454:0.316718:0.389454:0.316718:0.373020:0.305747:0.373020:0.000000
+:@0.375731:0.415596:0.386702:0.415596:0.386702:0.399162:0.375731:0.399162:0.000000
+ 3:@0.480413:0.415596:0.513766:0.416370:0.513766:0.399936:0.480413:0.399162:0.000000:0.000000:0.000000
+:@0.480413:0.434068:0.491384:0.434068:0.491384:0.417634:0.480413:0.417634:0.000000
2 2:@0.306870:0.451376:0.337812:0.451372:0.337812:0.434938:0.306870:0.434942:0.000000:0.000000:0.000000
3 2 1:@0.311557:0.435299:0.362165:0.436644:0.362165:0.420210:0.311557:0.418865:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.243922:0.424005:0.254893:0.424005:0.254893:0.407599:0.243922:0.407599:0.000000
=:@0.402703:0.422894:0.413674:0.422894:0.413674:0.406488:0.402703:0.406488:0.000000
=:@0.521154:0.422894:0.532124:0.422894:0.532124:0.406488:0.521154:0.406488:0.000000
_:@0.362980:0.429648:0.372184:0.429648:0.372184:0.413214:0.362980:0.413214:0.000000
3 1:@0.450943:0.436651:0.480025:0.436651:0.480025:0.420218:0.450943:0.420218:0.000000:0.000000:0.000000
3 1 1:@0.429407:0.416820:0.480025:0.416370:0.480025:0.399936:0.429407:0.400386:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.439747:0.415596:0.450718:0.415596:0.450718:0.399162:0.439747:0.399162:0.000000
3 1:@0.580756:0.415859:0.611809:0.415859:0.611809:0.399425:0.580756:0.399425:0.000000:0.000000:0.000000
3 2:@0.540076:0.415859:0.569344:0.415859:0.569344:0.399425:0.540076:0.399425:0.000000:0.000000:0.000000
+:@0.591101:0.415859:0.602072:0.415859:0.602072:0.399425:0.591101:0.399425:0.000000
+:@0.549832:0.415859:0.560803:0.415859:0.560803:0.399425:0.549832:0.399425:0.000000
1:@0.417208:0.436648:0.426191:0.436648:0.426191:0.420214:0.417208:0.420214:0.000000
_:@0.427001:0.429644:0.436204:0.429644:0.436204:0.413210:0.427001:0.413210:0.000000
_:@0.567227:0.429644:0.576431:0.429644:0.576431:0.413210:0.567227:0.413210:0.000000
3:@0.504783:0.436651:0.513766:0.436651:0.513766:0.420218:0.504783:0.420218:0.000000
3:@0.580400:0.436651:0.589383:0.436651:0.589383:0.420218:0.580400:0.420218:0.000000
1:@0.556231:0.436651:0.565214:0.436651:0.565214:0.420218:0.556231:0.420218:0.000000
1:@0.273625:0.459181:0.282607:0.459181:0.282607:0.442747:0.273625:0.442747:0.000000
_:@0.283417:0.453523:0.292621:0.453523:0.292621:0.437089:0.283417:0.437089:0.000000
3:@0.261697:0.510324:0.270680:0.510324:0.270680:0.493891:0.261697:0.493891:0.000000
3:@0.178889:0.504336:0.187872:0.504336:0.187872:0.487902:0.178889:0.487902:0.000000
4 + 2:@0.127110:0.504336:0.164108:0.504336:0.164108:0.487902:0.127110:0.487902:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.153358:0.520409:0.162341:0.520409:0.162341:0.503975:0.153358:0.503975:0.000000
=:@0.109695:0.511203:0.120666:0.511203:0.120666:0.494797:0.109695:0.494797:0.000000
=:@0.196283:0.511203:0.207253:0.511203:0.207253:0.494797:0.196283:0.494797:0.000000
_:@0.140398:0.515683:0.149602:0.515683:0.149602:0.499249:0.140398:0.499249:0.000000
2:@0.225421:0.510773:0.234404:0.510773:0.234404:0.494339:0.225421:0.494339:0.000000
_ _:@0.212463:0.506044:0.248394:0.506044:0.248394:0.489610:0.212463:0.489610:0.000000:0.000000:0.000000
Por tanto:  :@0.103210:0.544063:0.180947:0.544063:0.180947:0.527629:0.103210:0.527629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.199482:0.536547:0.208465:0.536547:0.208465:0.520113:0.199482:0.520113:0.000000
2:@0.199482:0.552315:0.208465:0.552315:0.208465:0.535881:0.199482:0.535881:0.000000
–:@0.184599:0.544264:0.193802:0.544264:0.193802:0.526609:0.184599:0.526609:0.000000
 =  2    3:@0.216403:0.544063:0.291537:0.545173:0.291537:0.528739:0.216403:0.527629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
– –:@0.235197:0.544646:0.266360:0.544646:0.266360:0.526991:0.235197:0.526991:0.000000:0.000000:0.000000
5. Demuestra si es identidad:@0.073089:0.580587:0.299866:0.580587:0.299866:0.563917:0.073089:0.563917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tanx   tany:@0.318230:0.571162:0.399892:0.571162:0.399892:0.554478:0.318230:0.554478:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.354511:0.571744:0.363715:0.571744:0.363715:0.554090:0.354511:0.554090:0.000000
1:@0.308843:0.585293:0.318286:0.585293:0.318286:0.568624:0.308843:0.568624:0.000000
   tanx tany :@0.318212:0.585293:0.412597:0.585293:0.412597:0.568610:0.318212:0.568610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.321489:0.584739:0.336822:0.584739:0.336822:0.571023:0.321489:0.571023:0.000000
 = :@0.425931:0.580578:0.444559:0.580578:0.444559:0.563909:0.425931:0.563909:0.000000:0.000000:0.000000
sen     :@0.454970:0.571497:0.512419:0.571497:0.512419:0.554814:0.454970:0.554814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(x y):@0.483077:0.571497:0.526169:0.571497:0.526169:0.554827:0.483077:0.554827:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.499957:0.572079:0.509161:0.572079:0.509161:0.554425:0.499957:0.554425:0.000000
cos  x   y:@0.455890:0.588832:0.520058:0.588832:0.520058:0.572149:0.455890:0.572149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.483059:0.588832:0.488287:0.588832:0.488287:0.572163:0.483059:0.572163:0.000000
–:@0.499552:0.589415:0.508756:0.589415:0.508756:0.571760:0.499552:0.571760:0.000000
):@0.520002:0.588832:0.525230:0.588832:0.525230:0.572163:0.520002:0.572163:0.000000
tanx   tany:@0.246010:0.612783:0.324315:0.612783:0.324315:0.596377:0.246010:0.596377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.280579:0.613365:0.289783:0.613365:0.289783:0.595711:0.280579:0.595711:0.000000
1   :@0.236163:0.626914:0.268283:0.626914:0.268283:0.610480:0.236163:0.610480:0.000000:0.000000:0.000000:0.000000
1:@0.249011:0.626360:0.264344:0.626360:0.264344:0.612644:0.249011:0.612644:0.000000
tanx tany:@0.268210:0.626914:0.334126:0.626914:0.334126:0.610508:0.268210:0.610508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= :@0.348226:0.620701:0.363154:0.620701:0.363154:0.604268:0.348226:0.604268:0.000000:0.000000
tanx x y:@0.363062:0.620701:0.435016:0.620701:0.435016:0.604295:0.363062:0.604295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 (     ) =:@0.394391:0.620701:0.454675:0.620701:0.454675:0.604268:0.394391:0.604268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.414474:0.621284:0.423677:0.621284:0.423677:0.603630:0.414474:0.603630:0.000000
senx  x   y:@0.467557:0.611260:0.536915:0.611260:0.536915:0.594854:0.467557:0.594854:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.501647:0.611260:0.506525:0.611260:0.506525:0.594826:0.501647:0.594826:0.000000
–:@0.517091:0.611842:0.526294:0.611842:0.526294:0.594188:0.517091:0.594188:0.000000
):@0.536860:0.611260:0.541738:0.611260:0.541738:0.594826:0.536860:0.594826:0.000000
cosx x   y:@0.467483:0.628595:0.537007:0.628595:0.537007:0.612189:0.467483:0.612189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 (:@0.497800:0.628595:0.506635:0.628595:0.506635:0.612161:0.497800:0.612161:0.000000:0.000000
–:@0.517183:0.629177:0.526386:0.629177:0.526386:0.611523:0.517183:0.611523:0.000000
):@0.536952:0.628595:0.541830:0.628595:0.541830:0.612161:0.536952:0.612161:0.000000
6. Encuentra :@0.073089:0.663676:0.184438:0.663676:0.184438:0.647007:0.073089:0.647007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen2x cos2x tan2x:@0.184335:0.663676:0.324359:0.663676:0.324359:0.646993:0.184335:0.646993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, :@0.226211:0.663676:0.233850:0.663676:0.233850:0.647007:0.226211:0.647007:0.000000:0.000000
, :@0.274715:0.663676:0.282354:0.663676:0.282354:0.647007:0.274715:0.647007:0.000000:0.000000
 si :@0.324322:0.663676:0.343502:0.663676:0.343502:0.647007:0.324322:0.647007:0.000000:0.000000:0.000000:0.000000
senx :@0.343410:0.663676:0.379570:0.663676:0.379570:0.646993:0.343410:0.646993:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.379525:0.663676:0.390496:0.663676:0.390496:0.647007:0.379525:0.647007:0.000000
5:@0.404527:0.655324:0.413970:0.655324:0.413970:0.638654:0.404527:0.638654:0.000000
13:@0.399852:0.669456:0.418664:0.669456:0.418664:0.652786:0.399852:0.652786:0.000000:0.000000
 :@0.418664:0.669456:0.422014:0.669456:0.422014:0.652772:0.418664:0.652772:0.000000
,   está en el cuadrante II:@0.425143:0.663673:0.609628:0.663673:0.609628:0.647003:0.425143:0.647003:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.432709:0.663673:0.440826:0.663673:0.440826:0.646989:0.432709:0.646989:0.000000
Solución: para empezar, hallamos el valor de :@0.103219:0.688538:0.427871:0.688538:0.427871:0.672104:0.103219:0.672104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cosx:@0.427499:0.688538:0.457868:0.688538:0.457868:0.672132:0.427499:0.672132:0.000000:0.000000:0.000000:0.000000
cosx = _:@0.109695:0.727837:0.175410:0.726009:0.175410:0.709603:0.109695:0.711431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= _:@0.266690:0.728211:0.295692:0.726008:0.295692:0.709602:0.266690:0.711805:0.000000:0.000000:0.000000
= _:@0.373415:0.728211:0.400116:0.726008:0.400116:0.709602:0.373415:0.711805:0.000000:0.000000:0.000000
=:@0.454647:0.728211:0.465617:0.728211:0.465617:0.711805:0.454647:0.711805:0.000000
5:@0.236760:0.719836:0.245743:0.719836:0.245743:0.703402:0.236760:0.703402:0.000000
2:@0.257622:0.714163:0.264972:0.714163:0.264972:0.700717:0.257622:0.700717:0.000000
13:@0.232270:0.740030:0.250236:0.740030:0.250236:0.723596:0.232270:0.723596:0.000000:0.000000
+:@0.164826:0.724567:0.175797:0.724567:0.175797:0.708160:0.164826:0.708160:0.000000
1:@0.194545:0.729090:0.203528:0.729090:0.203528:0.712656:0.194545:0.712656:0.000000
 :@0.203528:0.729090:0.206841:0.729090:0.206841:0.712684:0.203528:0.712684:0.000000
_ :@0.206841:0.724042:0.219358:0.724042:0.219358:0.707636:0.206841:0.707636:0.000000:0.000000
25:@0.345547:0.719836:0.363512:0.719836:0.363512:0.703402:0.345547:0.703402:0.000000:0.000000
169:@0.341055:0.740028:0.368004:0.740028:0.368004:0.723595:0.341055:0.723595:0.000000:0.000000:0.000000
144:@0.421232:0.719836:0.448181:0.719836:0.448181:0.703402:0.421232:0.703402:0.000000:0.000000:0.000000
169:@0.421232:0.740028:0.448181:0.740028:0.448181:0.723595:0.421232:0.723595:0.000000:0.000000:0.000000
12:@0.487458:0.719836:0.505424:0.719836:0.505424:0.703402:0.487458:0.703402:0.000000:0.000000
13:@0.487458:0.740028:0.505424:0.740028:0.505424:0.723595:0.487458:0.723595:0.000000:0.000000
+:@0.285089:0.724565:0.296060:0.724565:0.296060:0.708159:0.285089:0.708159:0.000000
+:@0.389532:0.724565:0.400503:0.724565:0.400503:0.708159:0.389532:0.708159:0.000000
1:@0.314812:0.729090:0.323794:0.729090:0.323794:0.712656:0.314812:0.712656:0.000000
 :@0.323794:0.729090:0.327108:0.729090:0.327108:0.712684:0.323794:0.712684:0.000000
_ :@0.327108:0.724042:0.339625:0.724042:0.339625:0.707636:0.327108:0.707636:0.000000:0.000000
_:@0.467261:0.723973:0.476464:0.723973:0.476464:0.707539:0.467261:0.707539:0.000000
(porque   está en el cuadrante II):@0.103210:0.766177:0.339708:0.766177:0.339708:0.749744:0.103210:0.749744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.165334:0.766177:0.172789:0.766177:0.172789:0.749771:0.165334:0.749771:0.000000
Luego, utilizamos las identidades para :@0.103210:0.793539:0.382231:0.793539:0.382231:0.777106:0.103210:0.777106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen2x cos2x tan2x:@0.381896:0.793539:0.522656:0.793539:0.522656:0.777133:0.381896:0.777133:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, :@0.421177:0.793539:0.428337:0.793539:0.428337:0.777106:0.421177:0.777106:0.000000:0.000000
 y :@0.466937:0.793539:0.482951:0.793539:0.482951:0.777106:0.466937:0.777106:0.000000:0.000000:0.000000
sen x =:@0.103447:0.821535:0.162773:0.821106:0.162773:0.804700:0.103447:0.805129:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.127100:0.821535:0.136083:0.821535:0.136083:0.805102:0.127100:0.805102:0.000000
2:@0.170007:0.821535:0.178990:0.821535:0.178990:0.805102:0.170007:0.805102:0.000000
senx cosx =:@0.178990:0.821535:0.258268:0.821535:0.258268:0.805129:0.178990:0.805129:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.262393:0.821535:0.271376:0.821535:0.271376:0.805102:0.262393:0.805102:0.000000
=:@0.380734:0.821106:0.391704:0.821106:0.391704:0.804700:0.380734:0.804700:0.000000
5:@0.287668:0.816713:0.296650:0.816713:0.296650:0.800279:0.287668:0.800279:0.000000
13:@0.283176:0.833729:0.301142:0.833729:0.301142:0.817296:0.283176:0.817296:0.000000:0.000000
12:@0.347528:0.816713:0.365494:0.816713:0.365494:0.800279:0.347528:0.800279:0.000000:0.000000
13:@0.347528:0.833729:0.365494:0.833729:0.365494:0.817296:0.347528:0.817296:0.000000:0.000000
_:@0.330115:0.817878:0.339318:0.817878:0.339318:0.801444:0.330115:0.801444:0.000000
_:@0.397633:0.817878:0.406836:0.817878:0.406836:0.801444:0.397633:0.801444:0.000000
120:@0.414723:0.813534:0.441671:0.813534:0.441671:0.797100:0.414723:0.797100:0.000000:0.000000:0.000000
169:@0.414723:0.833726:0.441671:0.833726:0.441671:0.817292:0.414723:0.817292:0.000000:0.000000:0.000000
cos x =:@0.104240:0.857361:0.158026:0.857361:0.158026:0.840955:0.104240:0.840955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.127304:0.857361:0.136287:0.857361:0.136287:0.840927:0.127304:0.840927:0.000000
 1  2:@0.158026:0.857361:0.200675:0.857286:0.200675:0.840853:0.158026:0.840927:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.344344:0.857735:0.355315:0.857735:0.355315:0.841329:0.344344:0.841329:0.000000
=:@0.432957:0.857735:0.443927:0.857735:0.443927:0.841329:0.432957:0.841329:0.000000
2:@0.336649:0.845274:0.343999:0.845274:0.343999:0.831828:0.336649:0.831828:0.000000
5:@0.313326:0.852538:0.322309:0.852538:0.322309:0.836105:0.313326:0.836105:0.000000
13:@0.308834:0.869555:0.326800:0.869555:0.326800:0.853121:0.308834:0.853121:0.000000:0.000000
50:@0.400563:0.848563:0.418528:0.848563:0.418528:0.832130:0.400563:0.832130:0.000000:0.000000
169:@0.396071:0.868755:0.423020:0.868755:0.423020:0.852322:0.396071:0.852322:0.000000:0.000000:0.000000
119:@0.453038:0.848563:0.479987:0.848563:0.479987:0.832130:0.453038:0.832130:0.000000:0.000000:0.000000
169:@0.453038:0.868755:0.479987:0.868755:0.479987:0.852322:0.453038:0.852322:0.000000:0.000000:0.000000
_:@0.176267:0.852904:0.185471:0.852904:0.185471:0.836470:0.176267:0.836470:0.000000
sen x = :@0.200675:0.857286:0.255557:0.857294:0.255557:0.840888:0.200675:0.840880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.224322:0.852566:0.230507:0.852566:0.230507:0.840635:0.224322:0.840635:0.000000
1   2:@0.258760:0.857363:0.293991:0.857363:0.293991:0.840930:0.258760:0.840930:0.000000:0.000000:0.000000:0.000000:0.000000
_:@0.271774:0.852315:0.280978:0.852315:0.280978:0.835882:0.271774:0.835882:0.000000
1 :@0.365577:0.857363:0.378591:0.857363:0.378591:0.840930:0.365577:0.840930:0.000000:0.000000
_:@0.378591:0.852315:0.387795:0.852315:0.387795:0.835882:0.378591:0.835882:0.000000
cos x:@0.168588:0.919767:0.208090:0.919767:0.208090:0.903361:0.168588:0.903361:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.191652:0.919767:0.200635:0.919767:0.200635:0.903333:0.191652:0.903333:0.000000
120:@0.259098:0.883408:0.286046:0.883408:0.286046:0.866974:0.259098:0.866974:0.000000:0.000000:0.000000
169:@0.259098:0.903600:0.286046:0.903600:0.286046:0.887166:0.259098:0.887166:0.000000:0.000000:0.000000
119:@0.249058:0.919970:0.276006:0.919970:0.276006:0.903536:0.249058:0.903536:0.000000:0.000000:0.000000
169:@0.249058:0.940162:0.276006:0.940162:0.276006:0.923728:0.249058:0.923728:0.000000:0.000000:0.000000
_:@0.243443:0.888378:0.252647:0.888378:0.252647:0.871944:0.243443:0.871944:0.000000
120:@0.327707:0.899798:0.354655:0.899798:0.354655:0.883364:0.327707:0.883364:0.000000:0.000000:0.000000
119:@0.327707:0.919990:0.354655:0.919990:0.354655:0.903556:0.327707:0.903556:0.000000:0.000000:0.000000
_:@0.312061:0.904777:0.321264:0.904777:0.321264:0.888343:0.312061:0.888343:0.000000
s 2:@0.168042:0.902474:0.201175:0.902474:0.201175:0.886041:0.168042:0.886041:0.000000:0.000000:0.000000
en x:@0.174908:0.902474:0.208630:0.902474:0.208630:0.886068:0.174908:0.886068:0.000000:0.000000:0.000000:0.000000
tan x = :@0.101868:0.909630:0.160035:0.909630:0.160035:0.893224:0.101868:0.893224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.126000:0.909630:0.134983:0.909630:0.134983:0.893197:0.126000:0.893197:0.000000
= :@0.218350:0.909630:0.232634:0.909630:0.232634:0.893224:0.218350:0.893224:0.000000:0.000000
= :@0.293654:0.909630:0.307938:0.909630:0.307938:0.893224:0.293654:0.893224:0.000000:0.000000
La formación de tormentas :@0.740294:0.253483:0.922685:0.253483:0.922685:0.238543:0.740294:0.238543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
está relacionada con varios :@0.740294:0.268612:0.921660:0.268612:0.921660:0.253672:0.740294:0.253672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
factores meteorológicos, :@0.740294:0.283741:0.906566:0.283741:0.906566:0.268801:0.740294:0.268801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y aunque las identidades :@0.740294:0.298870:0.908201:0.298870:0.908201:0.283930:0.740294:0.283930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trigonométricas no :@0.740294:0.313999:0.870788:0.313999:0.870788:0.299059:0.740294:0.299059:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son directamente :@0.740294:0.329128:0.860573:0.329128:0.860573:0.314188:0.740294:0.314188:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
responsables de crear :@0.740294:0.344257:0.887220:0.344257:0.887220:0.329317:0.740294:0.329317:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tormentas, se utilizan en :@0.740294:0.359385:0.904230:0.359385:0.904230:0.344446:0.740294:0.344446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
modelos matemáticos :@0.740294:0.374514:0.891996:0.374514:0.891996:0.359575:0.740294:0.359575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que ayudan a entender su :@0.740294:0.389643:0.916672:0.389643:0.916672:0.374704:0.740294:0.374704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comportamiento:@0.740294:0.404772:0.854020:0.404772:0.854020:0.389832:0.740294:0.389832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por ejemplo, la fórmula :@0.740294:0.427050:0.896043:0.427050:0.896043:0.412110:0.740294:0.412110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen:@0.740294:0.442179:0.761663:0.442179:0.761663:0.427264:0.740294:0.427264:0.000000:0.000000:0.000000
(2θ)=2:@0.761613:0.442179:0.805037:0.442179:0.805037:0.427239:0.761613:0.427239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen cos:@0.804937:0.442179:0.859195:0.442179:0.859195:0.427264:0.804937:0.427264:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
θ :@0.826256:0.442179:0.838438:0.442179:0.838438:0.427239:0.826256:0.427239:0.000000:0.000000
θ puede :@0.859138:0.442179:0.918108:0.442179:0.918108:0.427239:0.859138:0.427239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ser utilizada para modelar :@0.740294:0.457308:0.913489:0.457308:0.913489:0.442368:0.740294:0.442368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la oscilación de masas de :@0.740294:0.472436:0.910057:0.472436:0.910057:0.457497:0.740294:0.457497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aire en la atmósfera o para :@0.740294:0.487565:0.917393:0.487565:0.917393:0.472626:0.740294:0.472626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
describir fenómenos de :@0.740294:0.502694:0.900290:0.502694:0.900290:0.487755:0.740294:0.487755:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ondas como las mareas :@0.740294:0.517823:0.898790:0.517823:0.898790:0.502883:0.740294:0.502883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o las oscilaciones de:@0.740294:0.532952:0.873897:0.532952:0.873897:0.518012:0.740294:0.518012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
temperatura. Al entender:@0.740294:0.548081:0.907084:0.548081:0.907084:0.533141:0.740294:0.533141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estos patrones, los:@0.740294:0.563210:0.861378:0.563210:0.861378:0.548270:0.740294:0.548270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
meteorólogos pueden:@0.740294:0.578339:0.889431:0.578339:0.889431:0.563399:0.740294:0.563399:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
predecir mejor cuándo y:@0.740294:0.593468:0.902555:0.593468:0.902555:0.578528:0.740294:0.578528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dónde es probable que se:@0.740294:0.608597:0.913014:0.608597:0.913014:0.593657:0.740294:0.593657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
formen tormentas.:@0.740294:0.623726:0.863288:0.623726:0.863288:0.608786:0.740294:0.608786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad :@0.740294:0.188872:0.906668:0.188872:0.906668:0.171925:0.740294:0.171925:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática y :@0.740294:0.205514:0.842494:0.205514:0.842494:0.189080:0.740294:0.189080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
meteorología:@0.740294:0.222156:0.838550:0.222156:0.838550:0.205722:0.740294:0.205722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 4 (Ev. 3) Calcula algunos valores de las razones seno y coseno para ángulos :@0.080077:0.966038:0.501262:0.966038:0.501262:0.954086:0.080077:0.954086:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no agudos, auxiliándose de ángulos de referencia inscritos en el círculo unitario.:@0.080077:0.976124:0.499261:0.976124:0.499261:0.964172:0.080077:0.964172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@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