102:@0.048054:0.510692:0.076414:0.510692:0.076414:0.494068:0.048054:0.494068:0.000000:0.000000:0.000000
Taller:@0.175844:0.130781:0.236739:0.130781:0.236739:0.096834:0.175844:0.096834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reconoce y aplica las razones trigonométricas y sus relaciones en la resolución de triángulos rectángulos y en situaciones problema :@0.256865:0.113525:0.877628:0.113525:0.877628:0.103096:0.256865:0.103096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la vida real. (Ref. I.M.4.6.2.):@0.256865:0.124087:0.389387:0.124087:0.389387:0.113657:0.256865:0.113657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.115209:0.172018:0.133950:0.172018:0.133950:0.154882:0.115209:0.154882:0.000000:0.000000:0.000000
Resuelve :@0.148452:0.172018:0.220521:0.172018:0.220521:0.155394:0.148452:0.155394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los siguientes triángulos rectángulos. :@0.220521:0.172018:0.495513:0.172018:0.495513:0.155629:0.220521:0.155629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.151829:0.206029:0.168680:0.206029:0.168680:0.190818:0.151829:0.190818:0.000000:0.000000:0.000000
e) :@0.518504:0.206029:0.535487:0.206029:0.535487:0.190818:0.518504:0.190818:0.000000:0.000000:0.000000
b) :@0.151829:0.387187:0.169857:0.387187:0.169857:0.371976:0.151829:0.371976:0.000000:0.000000:0.000000
f) :@0.518504:0.387187:0.533646:0.387187:0.533646:0.371976:0.518504:0.371976:0.000000:0.000000:0.000000
c) :@0.151829:0.568344:0.167701:0.568344:0.167701:0.553134:0.151829:0.553134:0.000000:0.000000:0.000000
g) :@0.518504:0.568344:0.536433:0.568344:0.536433:0.553134:0.518504:0.553134:0.000000:0.000000:0.000000
d) :@0.151829:0.749502:0.169890:0.749502:0.169890:0.734291:0.151829:0.734291:0.000000:0.000000:0.000000
h) :@0.518504:0.749502:0.536416:0.749502:0.536416:0.734291:0.518504:0.734291:0.000000:0.000000:0.000000
A:@0.404424:0.276269:0.413420:0.276269:0.413420:0.261395:0.404424:0.261395:0.000000
4:@0.338017:0.237117:0.346192:0.237117:0.346192:0.222218:0.338017:0.222218:0.000000
2:@0.322873:0.282091:0.331048:0.282091:0.331048:0.267192:0.322873:0.267192:0.000000
B:@0.262933:0.204326:0.270974:0.204326:0.270974:0.189453:0.262933:0.189453:0.000000
a:@0.256416:0.243491:0.264843:0.243491:0.264843:0.228618:0.256416:0.228618:0.000000
C:@0.256416:0.276357:0.265429:0.276357:0.265429:0.261483:0.256416:0.261483:0.000000
A:@0.724745:0.204329:0.733741:0.204329:0.733741:0.189455:0.724745:0.189455:0.000000
9:@0.673415:0.283376:0.681591:0.283376:0.681591:0.268477:0.673415:0.268477:0.000000
63º:@0.650158:0.269541:0.669954:0.269541:0.669954:0.256132:0.650158:0.256132:0.000000:0.000000:0.000000
B:@0.625906:0.275828:0.633947:0.275828:0.633947:0.260954:0.625906:0.260954:0.000000
C:@0.724544:0.274571:0.733556:0.274571:0.733556:0.259697:0.724544:0.259697:0.000000
b:@0.724544:0.241956:0.732970:0.241956:0.732970:0.227082:0.724544:0.227082:0.000000
c:@0.660784:0.239442:0.667753:0.239442:0.667753:0.224568:0.660784:0.224568:0.000000
B:@0.726420:0.388383:0.734461:0.388383:0.734461:0.373509:0.726420:0.373509:0.000000
25:@0.664503:0.421538:0.680853:0.421538:0.680853:0.406639:0.664503:0.406639:0.000000:0.000000
75º:@0.659471:0.453849:0.679267:0.453849:0.679267:0.440440:0.659471:0.440440:0.000000:0.000000:0.000000
A:@0.632607:0.459880:0.641603:0.459880:0.641603:0.445007:0.632607:0.445007:0.000000
C:@0.726219:0.458623:0.735232:0.458623:0.735232:0.443749:0.726219:0.443749:0.000000
A:@0.829546:0.606154:0.838542:0.606154:0.838542:0.591280:0.829546:0.591280:0.000000
9:@0.616053:0.610642:0.624229:0.610642:0.624229:0.595743:0.616053:0.595743:0.000000
B:@0.605885:0.569667:0.613926:0.569667:0.613926:0.554793:0.605885:0.554793:0.000000
C:@0.628400:0.642628:0.637413:0.642628:0.637413:0.627754:0.628400:0.627754:0.000000
2:@0.627579:0.582403:0.635754:0.582403:0.635754:0.567504:0.627579:0.567504:0.000000
x:@0.635754:0.582403:0.642539:0.582403:0.642539:0.567529:0.635754:0.567529:0.000000
x:@0.783159:0.607398:0.789943:0.607398:0.789943:0.592524:0.783159:0.592524:0.000000
A:@0.239428:0.395905:0.248424:0.395905:0.248424:0.381031:0.239428:0.381031:0.000000
15:@0.257839:0.429249:0.274189:0.429249:0.274189:0.414350:0.257839:0.414350:0.000000:0.000000
B:@0.424324:0.397163:0.432365:0.397163:0.432365:0.382289:0.424324:0.382289:0.000000
C:@0.296520:0.459877:0.305533:0.459877:0.305533:0.445003:0.296520:0.445003:0.000000
34º:@0.376903:0.404789:0.396699:0.404789:0.396699:0.391380:0.376903:0.391380:0.000000:0.000000:0.000000
c = :@0.341921:0.613858:0.364905:0.613858:0.364905:0.598984:0.341921:0.598984:0.000000:0.000000:0.000000:0.000000
4:@0.364905:0.613858:0.373080:0.613858:0.373080:0.598959:0.364905:0.598959:0.000000
b = 2:@0.224336:0.610715:0.256517:0.610715:0.256517:0.595841:0.224336:0.595841:0.000000:0.000000:0.000000:0.000000:0.000000
√2:@0.256517:0.610715:0.274660:0.610715:0.274660:0.595816:0.256517:0.595816:0.000000:0.000000
c = x:@0.706456:0.778981:0.736225:0.778981:0.736225:0.764107:0.706456:0.764107:0.000000:0.000000:0.000000:0.000000:0.000000
a = :@0.565116:0.797803:0.589558:0.797803:0.589558:0.782929:0.565116:0.782929:0.000000:0.000000:0.000000:0.000000
   :@0.589551:0.791720:0.603673:0.791720:0.603673:0.776821:0.589551:0.776821:0.000000:0.000000:0.000000
x:@0.593220:0.791720:0.600005:0.791720:0.600005:0.776846:0.593220:0.776846:0.000000
 2:@0.589551:0.806594:0.601395:0.806594:0.601395:0.791695:0.589551:0.791695:0.000000:0.000000
 :@0.601395:0.806594:0.604411:0.806594:0.604411:0.791720:0.601395:0.791720:0.000000
b = m:@0.319404:0.825422:0.357147:0.825422:0.357147:0.810548:0.319404:0.810548:0.000000:0.000000:0.000000:0.000000:0.000000
a = m:@0.241187:0.788445:0.278930:0.788445:0.278930:0.773571:0.241187:0.773571:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.178511:0.304292:0.187780:0.304292:0.187780:0.287931:0.178511:0.287931:0.000000
 = 2√ 3 ;  :@0.187780:0.304292:0.253136:0.304292:0.253136:0.287903:0.187780:0.287903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A = :@0.253136:0.304292:0.280649:0.304292:0.280649:0.287931:0.253136:0.287931:0.000000:0.000000:0.000000:0.000000
60º:@0.280649:0.304292:0.304844:0.304292:0.304844:0.287903:0.280649:0.287903:0.000000:0.000000:0.000000
;  B = :@0.304844:0.304292:0.341276:0.304292:0.341276:0.287931:0.304844:0.287931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
30º:@0.341276:0.304292:0.365471:0.304292:0.365471:0.287903:0.341276:0.287903:0.000000:0.000000:0.000000
A = :@0.552235:0.302480:0.579748:0.302480:0.579748:0.286119:0.552235:0.286119:0.000000:0.000000:0.000000:0.000000
27º:@0.579748:0.302480:0.603943:0.302480:0.603943:0.286091:0.579748:0.286091:0.000000:0.000000:0.000000
;  b = :@0.603943:0.302480:0.640798:0.302480:0.640798:0.286119:0.603943:0.286119:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
17,66;    = 19,82:@0.640798:0.302480:0.757151:0.302480:0.757151:0.286091:0.640798:0.286091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.691253:0.302480:0.698919:0.302480:0.698919:0.286119:0.691253:0.286119:0.000000
B = :@0.552235:0.489065:0.578697:0.489065:0.578697:0.472704:0.552235:0.472704:0.000000:0.000000:0.000000:0.000000
15º:@0.578697:0.489065:0.602893:0.489065:0.602893:0.472676:0.578697:0.472676:0.000000:0.000000:0.000000
;  a = :@0.602893:0.489065:0.639748:0.489065:0.639748:0.472704:0.602893:0.472704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
24,15;    = 6,47:@0.639748:0.489065:0.748711:0.489065:0.748711:0.472676:0.639748:0.472676:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.690203:0.489065:0.699472:0.489065:0.699472:0.472704:0.690203:0.472704:0.000000
A = :@0.178504:0.489065:0.206017:0.489065:0.206017:0.472704:0.178504:0.472704:0.000000:0.000000:0.000000:0.000000
56º:@0.206017:0.489065:0.230212:0.489065:0.230212:0.472676:0.206017:0.472676:0.000000:0.000000:0.000000
;  a = :@0.230212:0.489065:0.267068:0.489065:0.267068:0.472704:0.230212:0.472704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
22,23;    = 26,82:@0.267068:0.489065:0.383420:0.489065:0.383420:0.472676:0.267068:0.472676:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.317522:0.489065:0.325188:0.489065:0.325188:0.472704:0.317522:0.472704:0.000000
a = :@0.552235:0.670643:0.579121:0.670643:0.579121:0.654282:0.552235:0.654282:0.000000:0.000000:0.000000:0.000000
15,59:@0.579121:0.670643:0.618298:0.670643:0.618298:0.654254:0.579121:0.654254:0.000000:0.000000:0.000000:0.000000:0.000000
;  c = :@0.618298:0.670643:0.653550:0.670643:0.653550:0.654282:0.618298:0.654282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
18;    = 30º;    = 60º:@0.653550:0.670643:0.799331:0.670643:0.799331:0.654254:0.653550:0.654254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.682813:0.670643:0.692709:0.670643:0.692709:0.654282:0.682813:0.654282:0.000000
B:@0.747236:0.670643:0.756082:0.670643:0.756082:0.654282:0.747236:0.654282:0.000000
b = :@0.552235:0.851336:0.579121:0.851336:0.579121:0.834975:0.552235:0.834975:0.000000:0.000000:0.000000:0.000000
√3 ;    = 30º;    = 60º:@0.579121:0.851336:0.733416:0.851336:0.733416:0.834947:0.579121:0.834947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x A:@0.598157:0.851336:0.626793:0.851336:0.626793:0.834975:0.598157:0.834975:0.000000:0.000000:0.000000
B:@0.681321:0.851336:0.690166:0.851336:0.690166:0.834975:0.681321:0.834975:0.000000
c = :@0.181828:0.851341:0.207111:0.851341:0.207111:0.834980:0.181828:0.834980:0.000000:0.000000:0.000000:0.000000
√2 ;    = 45º;    = 45º:@0.207111:0.851341:0.368574:0.851341:0.368574:0.834952:0.207111:0.834952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m A:@0.226146:0.851341:0.261951:0.851341:0.261951:0.834980:0.226146:0.834980:0.000000:0.000000:0.000000
B:@0.316479:0.851341:0.325324:0.851341:0.325324:0.834980:0.316479:0.834980:0.000000
a = 2:@0.178478:0.670647:0.213877:0.670647:0.213877:0.654286:0.178478:0.654286:0.000000:0.000000:0.000000:0.000000:0.000000
√2;    = 45º;    = 45º:@0.213877:0.670647:0.360708:0.670647:0.360708:0.654258:0.213877:0.654258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.244190:0.670647:0.254086:0.670647:0.254086:0.654286:0.244190:0.654286:0.000000
B:@0.308613:0.670647:0.317459:0.670647:0.317459:0.654286:0.308613:0.654286:0.000000