71:@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:@0.444620:0.043661:0.926912:0.043661:0.926912:0.024916:0.444620:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Trabajo colaborativo:@0.084265:0.416630:0.239726:0.416630:0.239726:0.399960:0.084265:0.399960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actividad indagatoria:@0.077417:0.711006:0.240777:0.711006:0.240777:0.694336:0.077417:0.694336:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e.  cos:@0.104633:0.136836:0.157745:0.136836:0.157745:0.120430:0.104633:0.120430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(a) + :@0.157682:0.136836:0.194460:0.136836:0.194460:0.120402:0.157682:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cos:@0.194350:0.136836:0.217274:0.136836:0.217274:0.120430:0.194350:0.120430:0.000000:0.000000:0.000000
(3a) + :@0.217211:0.136836:0.262898:0.136836:0.262898:0.120402:0.217211:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cos:@0.262769:0.136836:0.285694:0.136836:0.285694:0.120430:0.262769:0.120430:0.000000:0.000000:0.000000
(5a) =  :@0.285631:0.136836:0.335386:0.136836:0.335386:0.120402:0.285631:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4cos(a) :@0.134747:0.159525:0.190226:0.159525:0.190226:0.143091:0.134747:0.143091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cos:@0.190098:0.159525:0.213022:0.159525:0.213022:0.143119:0.190098:0.143119:0.000000:0.000000:0.000000
(2a) :@0.212959:0.159525:0.243792:0.159525:0.243792:0.143091:0.212959:0.143091:0.000000:0.000000:0.000000:0.000000:0.000000
cos:@0.243681:0.159525:0.266605:0.159525:0.266605:0.143119:0.243681:0.143119:0.000000:0.000000:0.000000
(3a)   1:@0.266543:0.159525:0.319316:0.159525:0.319316:0.143091:0.266543:0.143091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.297265:0.160107:0.306468:0.160107:0.306468:0.142453:0.297265:0.142453:0.000000
f. :@0.104633:0.257273:0.115254:0.257273:0.115254:0.240867:0.104633:0.240867:0.000000:0.000000:0.000000
cos:@0.134821:0.257273:0.157745:0.257273:0.157745:0.240867:0.134821:0.240867:0.000000:0.000000:0.000000
(a) + :@0.157682:0.257273:0.194460:0.257273:0.194460:0.240839:0.157682:0.240839:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cos:@0.194350:0.257273:0.217274:0.257273:0.217274:0.240867:0.194350:0.240867:0.000000:0.000000:0.000000
(b) + :@0.217211:0.257273:0.255793:0.257273:0.255793:0.240839:0.217211:0.240839:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cos:@0.255683:0.257273:0.278607:0.257273:0.278607:0.240867:0.255683:0.240867:0.000000:0.000000:0.000000
(c) =  :@0.278544:0.257273:0.319169:0.257273:0.319169:0.240839:0.278544:0.240839:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4cos :@0.134747:0.279961:0.172335:0.279961:0.172335:0.263527:0.134747:0.263527:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.177596:0.273104:0.201602:0.273104:0.201602:0.259681:0.177596:0.259681:0.000000:0.000000:0.000000
+:@0.185111:0.273104:0.194087:0.273104:0.194087:0.259658:0.185111:0.259658:0.000000
2:@0.185924:0.286970:0.193274:0.286970:0.193274:0.273524:0.185924:0.273524:0.000000
 :@0.205459:0.279966:0.209490:0.279966:0.209490:0.263532:0.205459:0.263532:0.000000
cos:@0.209410:0.279966:0.232335:0.279966:0.232335:0.263560:0.209410:0.263560:0.000000:0.000000:0.000000
 :@0.232272:0.279966:0.236303:0.279966:0.236303:0.263532:0.232272:0.263532:0.000000
b c:@0.241059:0.271316:0.263755:0.271316:0.263755:0.257893:0.241059:0.257893:0.000000:0.000000:0.000000
+:@0.248574:0.271316:0.257550:0.271316:0.257550:0.257870:0.248574:0.257870:0.000000
2:@0.248740:0.285182:0.256089:0.285182:0.256089:0.271736:0.248740:0.271736:0.000000
 :@0.269453:0.279966:0.273484:0.279966:0.273484:0.263532:0.269453:0.263532:0.000000
cos:@0.273402:0.279966:0.296326:0.279966:0.296326:0.263560:0.273402:0.263560:0.000000:0.000000:0.000000
 :@0.296264:0.279966:0.300295:0.279966:0.300295:0.263532:0.296264:0.263532:0.000000
c a:@0.305051:0.272210:0.327747:0.272210:0.327747:0.258787:0.305051:0.258787:0.000000:0.000000:0.000000
+:@0.311256:0.272210:0.320232:0.272210:0.320232:0.258764:0.311256:0.258764:0.000000
2:@0.312717:0.286076:0.320066:0.286076:0.320066:0.272630:0.312717:0.272630:0.000000
   3:@0.333445:0.279966:0.359448:0.279966:0.359448:0.263532:0.333445:0.263532:0.000000:0.000000:0.000000:0.000000
–:@0.337396:0.280549:0.346599:0.280549:0.346599:0.262894:0.337396:0.262894:0.000000
g.  cos:@0.536564:0.136836:0.589676:0.136836:0.589676:0.120430:0.536564:0.120430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(a) + :@0.589614:0.136836:0.626391:0.136836:0.626391:0.120402:0.589614:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cos:@0.626281:0.136836:0.649205:0.136836:0.649205:0.120430:0.626281:0.120430:0.000000:0.000000:0.000000
(2a) + :@0.649143:0.136836:0.694829:0.136836:0.694829:0.120402:0.649143:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cos:@0.694701:0.136836:0.717625:0.136836:0.717625:0.120430:0.694701:0.120430:0.000000:0.000000:0.000000
(3a) =  :@0.717562:0.136836:0.767317:0.136836:0.767317:0.120402:0.717562:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2cos(2a) :@0.566678:0.159525:0.631067:0.159525:0.631067:0.143091:0.566678:0.143091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cos:@0.630938:0.159525:0.653862:0.159525:0.653862:0.143119:0.630938:0.143119:0.000000:0.000000:0.000000
 :@0.653800:0.159525:0.657831:0.159525:0.657831:0.143091:0.653800:0.143091:0.000000
3:@0.663793:0.149987:0.671143:0.149987:0.671143:0.136541:0.663793:0.136541:0.000000
a:@0.671082:0.149987:0.678658:0.149987:0.678658:0.136564:0.671082:0.136564:0.000000
2:@0.667558:0.163853:0.674908:0.163853:0.674908:0.150407:0.667558:0.150407:0.000000
 + 2cos :@0.683864:0.159530:0.740264:0.159530:0.740264:0.143096:0.683864:0.143096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.749733:0.151774:0.757309:0.151774:0.757309:0.138350:0.749733:0.138350:0.000000
2:@0.749854:0.165639:0.757203:0.165639:0.757203:0.152193:0.749854:0.152193:0.000000
 :@0.766246:0.159530:0.770277:0.159530:0.770277:0.143096:0.766246:0.143096:0.000000
cos:@0.770197:0.159530:0.793122:0.159530:0.793122:0.143124:0.770197:0.143124:0.000000:0.000000:0.000000
 :@0.793059:0.159530:0.797090:0.159530:0.797090:0.143096:0.793059:0.143096:0.000000
5:@0.802969:0.151774:0.810318:0.151774:0.810318:0.138328:0.802969:0.138328:0.000000
a:@0.810258:0.151774:0.817833:0.151774:0.817833:0.138350:0.810258:0.138350:0.000000
2:@0.806734:0.165639:0.814083:0.165639:0.814083:0.152193:0.806734:0.152193:0.000000
Formen un grupo con dos o tres compañeros. Cada uno debe :@0.084265:0.440309:0.564545:0.440309:0.564545:0.423875:0.084265:0.423875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
demostrará:@0.565855:0.440309:0.655463:0.440309:0.655463:0.423639:0.565855:0.423639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 al menos una de las igualdades y :@0.655627:0.440309:0.919867:0.440309:0.919867:0.423875:0.655627:0.423875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
compartirá el resultado::@0.084247:0.456951:0.256009:0.456951:0.256009:0.440517:0.084247:0.440517:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  senxcos2x =   (sen3x − senx):@0.115809:0.518244:0.363107:0.518244:0.363107:0.501811:0.115809:0.501811:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.242677:0.510488:0.250027:0.510488:0.250027:0.497042:0.242677:0.497042:0.000000
2:@0.242677:0.524354:0.250027:0.524354:0.250027:0.510908:0.242677:0.510908:0.000000
b.  senxsen3x =    (cosx  −cos5x):@0.115809:0.578645:0.366323:0.578645:0.366323:0.562212:0.115809:0.562212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.243597:0.571783:0.250947:0.571783:0.250947:0.558337:0.243597:0.558337:0.000000
2:@0.243597:0.585649:0.250947:0.585649:0.250947:0.572203:0.243597:0.572203:0.000000
c.  sen4x + sen3x = 2sen cos:@0.115809:0.640833:0.342951:0.640833:0.342951:0.624399:0.115809:0.624399:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7x:@0.302487:0.632183:0.316237:0.632183:0.316237:0.618737:0.302487:0.618737:0.000000:0.000000
2:@0.305680:0.646049:0.313030:0.646049:0.313030:0.632603:0.305680:0.632603:0.000000
x:@0.346800:0.633077:0.353261:0.633077:0.353261:0.619631:0.346800:0.619631:0.000000
2:@0.346348:0.646942:0.353698:0.646942:0.353698:0.633497:0.346348:0.633497:0.000000
Investiga y busca un ejemplo real del uso de identidades trigonométricas (en ingeniería, meteorología, etc.).:@0.082576:0.735442:0.842685:0.735442:0.842685:0.719008:0.082576:0.719008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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