184:@0.067867:0.963104:0.109245:0.963104:0.109245:0.941283:0.067867:0.941283:0.000000:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10.º EGB:@0.120102:0.967458:0.179272:0.967458:0.179272:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.070720:0.123711:0.114363:0.123711:0.114363:0.103460:0.070720:0.103460:0.000000:0.000000:0.000000
. Representación:@0.114363:0.123082:0.246653:0.123082:0.246653:0.106182:0.114363:0.106182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las relaciones trigonométricas son igualdades entre expresiones matemáticas que :@0.287490:0.150300:0.907689:0.150300:0.907689:0.133911:0.287490:0.133911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
relacionan los lados y los ángulos de un triángulo rectángulo y se aplican a todos :@0.287490:0.166897:0.907764:0.166897:0.907764:0.150508:0.287490:0.150508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los ángulos. :@0.287490:0.183493:0.377784:0.183493:0.377784:0.167104:0.287490:0.167104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se utilizan para resolver problemas que involucran triángulos, ángulos y distancias :@0.287490:0.207212:0.907635:0.207212:0.907635:0.190823:0.287490:0.190823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en diversas disciplinas, como matemáticas, física, ingeniería, astronomía y muchas :@0.287490:0.223808:0.907687:0.223808:0.907687:0.207419:0.287490:0.207419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
otras áreas.:@0.287490:0.240405:0.368478:0.240405:0.368478:0.224016:0.287490:0.224016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Observemos los siguientes triángulos rectángulos que, a su vez, tienen un ángulo :@0.287490:0.264124:0.907597:0.264124:0.907597:0.247735:0.287490:0.247735:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
agudo congruente.:@0.287490:0.280720:0.428884:0.280720:0.428884:0.264331:0.287490:0.264331:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.375199:0.304303:0.384748:0.304303:0.384748:0.289404:0.375199:0.289404:0.000000
B:@0.375199:0.388090:0.383659:0.388090:0.383659:0.373191:0.375199:0.373191:0.000000
A E:@0.510274:0.388090:0.544348:0.388090:0.544348:0.373191:0.510274:0.373191:0.000000:0.000000:0.000000
f:@0.588357:0.388090:0.592746:0.388090:0.592746:0.373191:0.588357:0.373191:0.000000
i:@0.761895:0.388090:0.765396:0.388090:0.765396:0.373191:0.761895:0.373191:0.000000
D:@0.666440:0.388090:0.677278:0.388090:0.677278:0.373191:0.666440:0.373191:0.000000
H:@0.718037:0.388090:0.728591:0.388090:0.728591:0.373191:0.718037:0.373191:0.000000
I:@0.718037:0.327362:0.721572:0.327362:0.721572:0.312463:0.718037:0.312463:0.000000
G:@0.812688:0.388090:0.823142:0.388090:0.823142:0.373191:0.812688:0.373191:0.000000
F:@0.536542:0.319957:0.544281:0.319957:0.544281:0.305058:0.536542:0.305058:0.000000
c:@0.432610:0.388090:0.440081:0.388090:0.440081:0.373191:0.432610:0.373191:0.000000
b:@0.447251:0.339508:0.456499:0.339508:0.456499:0.324609:0.447251:0.324609:0.000000
α:@0.477154:0.370940:0.486067:0.370940:0.486067:0.356041:0.477154:0.356041:0.000000
α:@0.633672:0.370940:0.642584:0.370940:0.642584:0.356041:0.633672:0.356041:0.000000
α:@0.781294:0.370940:0.790206:0.370940:0.790206:0.356041:0.781294:0.356041:0.000000
d:@0.526256:0.352206:0.535369:0.352206:0.535369:0.337307:0.526256:0.337307:0.000000
e:@0.606433:0.346134:0.614557:0.346134:0.614557:0.331235:0.606433:0.331235:0.000000
g:@0.708438:0.355325:0.717551:0.355325:0.717551:0.340426:0.708438:0.340426:0.000000
h:@0.768328:0.349252:0.777307:0.349252:0.777307:0.334353:0.768328:0.334353:0.000000
a:@0.364964:0.345580:0.372569:0.345580:0.372569:0.330681:0.364964:0.330681:0.000000
Los triángulos anteriores son semejantes por el criterio de semejanza ángulo-ángulo. :@0.287495:0.417507:0.907703:0.417507:0.907703:0.401118:0.287495:0.401118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si se conoce uno de los ángulos agudos del triángulo, la razón entre dos lados del :@0.287495:0.434103:0.907678:0.434103:0.907678:0.417714:0.287495:0.417714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
triángulo es constante.:@0.287495:0.450700:0.454501:0.450700:0.454501:0.434311:0.287495:0.434311:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En todo triángulo rectángulo, los catetos son los lados :@0.287495:0.474419:0.711385:0.474419:0.711385:0.458030:0.287495:0.458030:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que forman el ángulo recto y la hipotenusa es el lado más :@0.287495:0.491015:0.711421:0.491015:0.711421:0.474626:0.287495:0.474626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
grande del triángulo, opuesto al ángulo recto.:@0.287495:0.507611:0.622689:0.507611:0.622689:0.491222:0.287495:0.491222:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El cateto adyacente es aquel que forma un lado del :@0.287495:0.531330:0.711329:0.531330:0.711329:0.514941:0.287495:0.514941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ángulo agudo que se está empleando.:@0.287495:0.547927:0.569820:0.547927:0.569820:0.531538:0.287495:0.531538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Razones trigonométricas:@0.287495:0.578782:0.485464:0.578782:0.485464:0.561882:0.287495:0.561882:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El valor de cada razón trigonométrica es independiente de la medida de los lados :@0.287495:0.602501:0.907711:0.602501:0.907711:0.586112:0.287495:0.586112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del triángulo rectángulo, porque solo depende del valor del ángulo agudo :@0.287495:0.619098:0.907694:0.619098:0.907694:0.602709:0.287495:0.602709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
empleado.:@0.287495:0.635694:0.365608:0.635694:0.365608:0.619305:0.287495:0.619305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Nombre:@0.312810:0.663909:0.372046:0.663909:0.372046:0.648545:0.312810:0.648545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Razón trigonométrica:@0.415603:0.663909:0.572958:0.663909:0.572958:0.648545:0.415603:0.648545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición:@0.651393:0.663909:0.725824:0.663909:0.725824:0.648545:0.651393:0.648545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En la figura:@0.804057:0.663909:0.885104:0.663909:0.885104:0.648545:0.804057:0.648545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Seno:@0.294399:0.695857:0.328272:0.695857:0.328272:0.680958:0.294399:0.680958:0.000000:0.000000:0.000000:0.000000
Sen:@0.468495:0.697142:0.491429:0.697142:0.495531:0.683148:0.472597:0.683148:0.000000:0.000000:0.000000
α:@0.498837:0.697758:0.509408:0.697758:0.513558:0.683601:0.502987:0.683601:0.000000
():@0.494754:0.699989:0.517655:0.699989:0.517655:0.681868:0.494754:0.681868:0.000000:0.000000
cateto opuesto:@0.644115:0.686213:0.732032:0.686213:0.732032:0.672938:0.644115:0.672938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hipotenusa:@0.656728:0.701964:0.722106:0.701964:0.722106:0.688689:0.656728:0.688689:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.840286:0.687011:0.848628:0.687011:0.848628:0.673157:0.840286:0.673157:0.000000
c:@0.840804:0.704515:0.847703:0.704515:0.847703:0.690661:0.840804:0.690661:0.000000
Coseno:@0.294394:0.736845:0.345020:0.736845:0.345020:0.721946:0.294394:0.721946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cos:@0.467919:0.738127:0.490786:0.738127:0.494888:0.724134:0.472021:0.724134:0.000000:0.000000:0.000000
α:@0.498948:0.738744:0.509519:0.738744:0.513669:0.724586:0.503098:0.724586:0.000000
():@0.494858:0.740976:0.517759:0.740976:0.517759:0.722854:0.494858:0.722854:0.000000:0.000000
cateto adyacente:@0.638351:0.727200:0.738656:0.727200:0.738656:0.713925:0.638351:0.713925:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hipotenusa:@0.655889:0.742950:0.721267:0.742950:0.721267:0.729675:0.655889:0.729675:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.839956:0.727997:0.848298:0.727997:0.848298:0.714144:0.839956:0.714144:0.000000
c:@0.840661:0.745502:0.847561:0.745502:0.847561:0.731648:0.840661:0.731648:0.000000
Tangente:@0.294394:0.777832:0.357149:0.777832:0.357149:0.762933:0.294394:0.762933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tan:@0.467239:0.779114:0.491580:0.779114:0.495682:0.765120:0.471341:0.765120:0.000000:0.000000:0.000000
α:@0.498988:0.779730:0.509559:0.779730:0.513709:0.765573:0.503138:0.765573:0.000000
():@0.494910:0.781961:0.517811:0.781961:0.517811:0.763840:0.494910:0.763840:0.000000:0.000000
cateto opuesto:@0.644177:0.768185:0.732109:0.768185:0.732109:0.754910:0.644177:0.754910:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cateto adyacente:@0.637953:0.783936:0.738258:0.783936:0.738258:0.770661:0.637953:0.770661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.840284:0.768983:0.848627:0.768983:0.848627:0.755129:0.840284:0.755129:0.000000
b:@0.840097:0.786487:0.848439:0.786487:0.848439:0.772633:0.840097:0.772633:0.000000
Cosecante:@0.294394:0.818817:0.364386:0.818817:0.364386:0.803918:0.294394:0.803918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Csc:@0.467919:0.820100:0.489127:0.820100:0.493229:0.806106:0.472021:0.806106:0.000000:0.000000:0.000000
α:@0.497842:0.820716:0.508413:0.820716:0.512563:0.806559:0.501992:0.806559:0.000000
():@0.493759:0.822948:0.516660:0.822948:0.516660:0.804827:0.493759:0.804827:0.000000:0.000000
hipotenusa:@0.655308:0.809171:0.720685:0.809171:0.720685:0.795896:0.655308:0.795896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cateto opuesto:@0.644620:0.824921:0.732537:0.824921:0.732537:0.811646:0.644620:0.811646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.840804:0.809970:0.847703:0.809970:0.847703:0.796116:0.840804:0.796116:0.000000
a:@0.840284:0.827474:0.848627:0.827474:0.848627:0.813620:0.840284:0.813620:0.000000
Secante:@0.294394:0.859804:0.347633:0.859804:0.347633:0.844905:0.294394:0.844905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sec:@0.469331:0.861086:0.490590:0.861086:0.494692:0.847093:0.473433:0.847093:0.000000:0.000000:0.000000
α:@0.499305:0.861703:0.509875:0.861703:0.514025:0.847545:0.503455:0.847545:0.000000
():@0.495225:0.863933:0.518126:0.863933:0.518126:0.845812:0.495225:0.845812:0.000000:0.000000
hipotenusa:@0.655852:0.850157:0.721230:0.850157:0.721230:0.836882:0.655852:0.836882:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cateto adyacente:@0.638149:0.865908:0.738455:0.865908:0.738455:0.852633:0.638149:0.852633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.840661:0.850955:0.847561:0.850955:0.847561:0.837101:0.840661:0.837101:0.000000
b:@0.839954:0.868459:0.848296:0.868459:0.848296:0.854605:0.839954:0.854605:0.000000
Cotangente:@0.294394:0.900790:0.373933:0.900790:0.373933:0.885891:0.294394:0.885891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cot:@0.467919:0.902072:0.489881:0.902072:0.493983:0.888078:0.472021:0.888078:0.000000:0.000000:0.000000
α:@0.498948:0.902688:0.509519:0.902688:0.513669:0.888531:0.503098:0.888531:0.000000
():@0.494858:0.904920:0.517759:0.904920:0.517759:0.886799:0.494858:0.886799:0.000000:0.000000
cateto adyacente:@0.629445:0.891112:0.745699:0.891112:0.745699:0.877607:0.629445:0.877607:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cateto opuesto:@0.639220:0.907135:0.741132:0.907135:0.741132:0.893631:0.639220:0.893631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.840097:0.891941:0.848439:0.891941:0.848439:0.878087:0.840097:0.878087:0.000000
a:@0.840284:0.909445:0.848627:0.909445:0.848627:0.895591:0.840284:0.895591:0.000000
Razones trigonométricas:@0.286308:0.079033:0.718117:0.079033:0.718117:0.042159:0.286308:0.042159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.094760:0.108604:0.183816:0.108604:0.183816:0.011516:0.094760:0.011516:0.000000:0.000000
B:@0.854261:0.465157:0.860297:0.465157:0.860297:0.454656:0.854261:0.454656:0.000000
b:@0.792922:0.541491:0.800554:0.541491:0.800554:0.528365:0.792922:0.528365:0.000000
c:@0.780463:0.503085:0.786612:0.503085:0.786612:0.489959:0.780463:0.489959:0.000000
a:@0.856845:0.508267:0.864434:0.508267:0.864434:0.495141:0.856845:0.495141:0.000000
A:@0.730690:0.538914:0.737296:0.538914:0.737296:0.528413:0.730690:0.528413:0.000000
C:@0.854263:0.538914:0.860717:0.538914:0.860717:0.528413:0.854263:0.528413:0.000000
Hipotenusa:@0.740527:0.489735:0.805983:0.489735:0.805983:0.477494:0.740527:0.477494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cateto:@0.741558:0.542608:0.778885:0.542608:0.778885:0.530368:0.741558:0.530368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
adyacente:@0.741559:0.550612:0.800110:0.550612:0.800110:0.538372:0.741559:0.538372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cateto:@0.855033:0.482770:0.892359:0.482770:0.892359:0.470529:0.855033:0.470529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
opuesto:@0.855033:0.490774:0.901708:0.490774:0.901708:0.478533:0.855033:0.478533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
90º:@0.824096:0.527174:0.844173:0.527174:0.844173:0.514059:0.824096:0.514059:0.000000:0.000000:0.000000
Matemática e historia:@0.088760:0.227964:0.244757:0.227964:0.244757:0.212600:0.088760:0.212600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Hace más de 5 000 años, :@0.080669:0.246610:0.248424:0.246610:0.248424:0.231711:0.080669:0.231711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los matemáticos egipcios :@0.075559:0.261697:0.248426:0.261697:0.248426:0.246798:0.075559:0.246798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conocían la relación entre :@0.072695:0.276785:0.248426:0.276785:0.248426:0.261886:0.072695:0.261886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el valor de las razones de :@0.078843:0.291872:0.248426:0.291872:0.248426:0.276973:0.078843:0.276973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las longitudes de los lados :@0.069813:0.306960:0.248427:0.306960:0.248427:0.292061:0.069813:0.292061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y la medida de los :@0.124426:0.322048:0.248427:0.322048:0.248427:0.307149:0.124426:0.307149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ángulos agudos en un :@0.095578:0.337135:0.248427:0.337135:0.248427:0.322236:0.095578:0.322236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
triángulo rectángulo. Esos :@0.072025:0.352223:0.248426:0.352223:0.248426:0.337324:0.072025:0.337324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
valores eran útiles en la :@0.089899:0.367310:0.248427:0.367310:0.248427:0.352411:0.089899:0.352411:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinación de :@0.125683:0.382398:0.248426:0.382398:0.248426:0.367499:0.125683:0.367499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
distancias imposibles de :@0.082428:0.397486:0.248427:0.397486:0.248427:0.382587:0.082428:0.382587:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
medir directamente y, por :@0.071572:0.412573:0.248424:0.412573:0.248424:0.397674:0.071572:0.397674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ello, se establecieron :@0.106468:0.427661:0.248424:0.427661:0.248424:0.412762:0.106468:0.412762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
razones trigonométricas.:@0.080367:0.442748:0.244757:0.442748:0.244757:0.427849:0.080367:0.427849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.090129:0.196795:0.247335:0.196795:0.247335:0.179895:0.090129:0.179895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.070380:0.498276:0.070380:0.493169:0.058298:0.493169:0.058298:0.498276:0.000000
Shutterstock:@0.070380:0.493169:0.070380:0.455450:0.058469:0.455450:0.058469:0.493169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La Ley Orgánica de la :@0.101322:0.714401:0.249614:0.714401:0.249614:0.699502:0.101322:0.699502:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Educación Intercultural :@0.088088:0.729489:0.249614:0.729489:0.249614:0.714590:0.088088:0.714590:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(Ecuador, 2011) estipula :@0.083983:0.744576:0.249614:0.744576:0.249614:0.729677:0.083983:0.729677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la contextualización, :@0.106934:0.759664:0.249614:0.759664:0.249614:0.744765:0.106934:0.744765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
valoración, respeto, :@0.114020:0.774751:0.249614:0.774751:0.249614:0.759852:0.114020:0.759852:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
desarrollo y :@0.167226:0.789839:0.249614:0.789839:0.249614:0.774940:0.167226:0.774940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
transversalización de la :@0.088758:0.804927:0.249614:0.804927:0.249614:0.790028:0.088758:0.790028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
interculturalidad en el :@0.096280:0.820014:0.249614:0.820014:0.249614:0.805115:0.096280:0.805115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sistema de educación :@0.097586:0.835102:0.249616:0.835102:0.249616:0.820203:0.097586:0.820203:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nacional. Así, se busca :@0.095744:0.850189:0.249614:0.850189:0.249614:0.835290:0.095744:0.835290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fomentar la diversidad :@0.093616:0.865277:0.249614:0.865277:0.249614:0.850378:0.093616:0.850378:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cultural y lingüística. :@0.107001:0.880365:0.249614:0.880365:0.249614:0.865466:0.107001:0.865466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  Cívica:@0.156579:0.681676:0.208677:0.681676:0.208677:0.664775:0.156579:0.664775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.2.16. :@0.290067:0.954959:0.338404:0.954959:0.338404:0.944205:0.290067:0.944205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definir e identificar las relaciones trigonométricas en el triángulo rectángulo (seno, coseno, tangente) para resolver :@0.340257:0.954959:0.903579:0.954959:0.903579:0.944530:0.340257:0.944530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.356440:0.954959:0.359008:0.954959:0.359008:0.944530:0.356440:0.944530:0.000000
 :@0.415928:0.954959:0.418496:0.954959:0.418496:0.944530:0.415928:0.944530:0.000000
numéricamente triángulos rectángulos.:@0.290067:0.965521:0.474524:0.965521:0.474524:0.955091:0.290067:0.955091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000