64:@0.036727:0.974518:0.057230:0.974518:0.057230:0.956333:0.036727:0.956333:0.000000:0.000000
Trigonometría analítica:@0.073089:0.043661:0.282466:0.043661:0.282466:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema 1. Identidades trigonométricas:@0.073089:0.099416:0.618104:0.099416:0.618104:0.068175:0.073089:0.068175:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Demuestra que la siguiente identidad trigonométrica es verdadera: sen +cos =1:@0.293660:0.167374:0.894610:0.167374:0.894610:0.150940:0.293660:0.150940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.808893:0.161310:0.814129:0.161310:0.814129:0.151729:0.808893:0.151729:0.000000
q:@0.814083:0.166290:0.824129:0.166290:0.824129:0.155068:0.814083:0.155068:0.000000
2:@0.859569:0.161310:0.864806:0.161310:0.864806:0.151729:0.859569:0.151729:0.000000
q:@0.864760:0.166290:0.874806:0.166290:0.874806:0.155068:0.864760:0.155068:0.000000
¿Puedes demostrar que la identidad es cierta para cualquier ángulo θ?:@0.293668:0.191158:0.801880:0.191158:0.801880:0.174724:0.293668:0.174724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pista: usa el teorema de Pitágoras para relacionar:@0.293668:0.214942:0.645140:0.214942:0.645140:0.198508:0.293668:0.198508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 a, b h:@0.644750:0.214942:0.698315:0.214942:0.698315:0.198536:0.644750:0.198536:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y  .:@0.672895:0.214942:0.701444:0.214942:0.701444:0.198508:0.672895:0.198508:0.000000:0.000000:0.000000:0.000000:0.000000
Reto matemático:@0.302768:0.139600:0.437491:0.139600:0.437491:0.122653:0.302768:0.122653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las identidades trigonométricas son ecuaciones que relacionan las funciones trigo-:@0.293660:0.296570:0.926906:0.296570:0.926906:0.280136:0.293660:0.280136:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nométricas entre sí y son verdaderas para todos los valores de los ángulos involucrados. :@0.293660:0.313212:0.931333:0.313212:0.931333:0.296778:0.293660:0.296778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Estas identidades son herramientas fundamentales en matemáticas, utilizadas en una :@0.293660:0.329854:0.931078:0.329854:0.931078:0.313420:0.293660:0.313420:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
variedad de campos como la física, la ingeniería y la astronomía. :@0.293660:0.346496:0.760098:0.346496:0.760098:0.330062:0.293660:0.330062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para demostrar una identidad trigonométrica, se transforma uno de los miembros de la :@0.293660:0.373858:0.931413:0.373858:0.931413:0.357424:0.293660:0.357424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
igualdad (cualquiera de los dos) en el otro; por lo general, partimos del miembro de :@0.293660:0.390499:0.931260:0.390499:0.931260:0.374066:0.293660:0.374066:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mayor complejidad. Además, se debe estar familiarizado con el uso de las identidades :@0.293660:0.407141:0.931492:0.407141:0.931492:0.390707:0.293660:0.390707:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fundamentales y con los procedimientos de factorización, suma de fracciones, etc. A :@0.293660:0.423783:0.931024:0.423783:0.931024:0.407349:0.293660:0.407349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
menudo, podemos transformar ambos miembros de la igualdad hasta obtener dos :@0.293660:0.440425:0.931170:0.440425:0.931170:0.423991:0.293660:0.423991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
expresiones equivalentes o iguales.:@0.293660:0.457067:0.548284:0.457067:0.548284:0.440633:0.293660:0.440633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Identidades pitagóricas:@0.293660:0.484429:0.471575:0.484429:0.471575:0.467759:0.293660:0.467759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen x  cos x :@0.293660:0.504648:0.386530:0.504647:0.386530:0.488241:0.293660:0.488242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.317114:0.498583:0.322351:0.498583:0.322351:0.489002:0.317114:0.489002:0.000000
+ :@0.332943:0.504647:0.347871:0.504647:0.347871:0.488213:0.332943:0.488213:0.000000:0.000000
2:@0.370644:0.498583:0.375881:0.498583:0.375881:0.489002:0.370644:0.489002:0.000000
= 1  :@0.386469:0.504647:0.418197:0.504647:0.418197:0.488213:0.386469:0.488213:0.000000:0.000000:0.000000:0.000000:0.000000
sec x  tan x :@0.474386:0.504647:0.564704:0.504647:0.564704:0.488241:0.474386:0.488241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.495999:0.498583:0.501236:0.498583:0.501236:0.489002:0.495999:0.489002:0.000000
–:@0.511828:0.505230:0.521032:0.505230:0.521032:0.487575:0.511828:0.487575:0.000000
 :@0.520940:0.504647:0.524971:0.504647:0.524971:0.488213:0.520940:0.488213:0.000000
2:@0.548818:0.498583:0.554055:0.498583:0.554055:0.489002:0.548818:0.489002:0.000000
= 1 :@0.564643:0.504647:0.592440:0.504647:0.592440:0.488213:0.564643:0.488213:0.000000:0.000000:0.000000:0.000000
csc x  cot x :@0.655112:0.504647:0.743798:0.504647:0.743798:0.488241:0.655112:0.488241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.676596:0.498583:0.681833:0.498583:0.681833:0.489002:0.676596:0.489002:0.000000
– :@0.692425:0.505230:0.706138:0.505230:0.706138:0.487575:0.692425:0.487575:0.000000:0.000000
2:@0.727914:0.498583:0.733151:0.498583:0.733151:0.489002:0.727914:0.489002:0.000000
= 1:@0.743743:0.504647:0.767580:0.504647:0.767580:0.488213:0.743743:0.488213:0.000000:0.000000:0.000000
Identidades recíprocas:@0.293667:0.539151:0.465134:0.539151:0.465134:0.522482:0.293667:0.522482:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tanx :@0.293667:0.568191:0.328272:0.568191:0.328272:0.551785:0.293667:0.551785:0.000000:0.000000:0.000000:0.000000:0.000000
= :@0.328236:0.568191:0.343164:0.568191:0.343164:0.551757:0.328236:0.551757:0.000000:0.000000
sen:@0.348231:0.560532:0.367463:0.560532:0.367463:0.547109:0.348231:0.547109:0.000000:0.000000:0.000000
x:@0.367418:0.560532:0.373879:0.560532:0.373879:0.547086:0.367418:0.547086:0.000000
cos:@0.348472:0.572775:0.367228:0.572775:0.367228:0.559352:0.348472:0.559352:0.000000:0.000000:0.000000
x:@0.367177:0.572775:0.373638:0.572775:0.373638:0.559330:0.367177:0.559330:0.000000
cotx:@0.414144:0.568191:0.443456:0.568191:0.443456:0.551785:0.414144:0.551785:0.000000:0.000000:0.000000:0.000000
 = :@0.443412:0.568191:0.462297:0.568191:0.462297:0.551757:0.443412:0.551757:0.000000:0.000000:0.000000
cos:@0.467328:0.560532:0.486084:0.560532:0.486084:0.547109:0.467328:0.547109:0.000000:0.000000:0.000000
x:@0.486033:0.560532:0.492494:0.560532:0.492494:0.547086:0.486033:0.547086:0.000000
senx:@0.467267:0.572775:0.492539:0.572775:0.492539:0.559352:0.467267:0.559352:0.000000:0.000000:0.000000:0.000000
cotx :@0.534628:0.568191:0.567179:0.568191:0.567179:0.551785:0.534628:0.551785:0.000000:0.000000:0.000000:0.000000:0.000000
= :@0.567135:0.568191:0.582063:0.568191:0.582063:0.551757:0.567135:0.551757:0.000000:0.000000
1:@0.595420:0.560532:0.602770:0.560532:0.602770:0.547086:0.595420:0.547086:0.000000
tanx:@0.586248:0.572775:0.611912:0.572775:0.611912:0.559352:0.586248:0.559352:0.000000:0.000000:0.000000:0.000000
secx :@0.655112:0.568191:0.687398:0.568191:0.687398:0.551785:0.655112:0.551785:0.000000:0.000000:0.000000:0.000000:0.000000
= :@0.687361:0.568191:0.702289:0.568191:0.702289:0.551757:0.687361:0.551757:0.000000:0.000000
1:@0.714826:0.560532:0.722176:0.560532:0.722176:0.547086:0.714826:0.547086:0.000000
cosx:@0.706076:0.572775:0.730923:0.572775:0.730923:0.559352:0.706076:0.559352:0.000000:0.000000:0.000000:0.000000
cscx :@0.775595:0.568191:0.807753:0.568191:0.807753:0.551785:0.775595:0.551785:0.000000:0.000000:0.000000:0.000000:0.000000
= :@0.807716:0.568191:0.822644:0.568191:0.822644:0.551757:0.807716:0.551757:0.000000:0.000000
1:@0.834890:0.561426:0.842240:0.561426:0.842240:0.547980:0.834890:0.547980:0.000000
senx:@0.825914:0.573669:0.851186:0.573669:0.851186:0.560246:0.825914:0.560246:0.000000:0.000000:0.000000:0.000000
Identidades pares e impares:@0.293660:0.602702:0.506398:0.602702:0.506398:0.586032:0.293660:0.586032:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen x:@0.293660:0.626486:0.338482:0.626486:0.338482:0.610080:0.293660:0.610080:0.000000:0.000000:0.000000:0.000000:0.000000
( )= :@0.317111:0.626486:0.358141:0.626486:0.358141:0.610052:0.317111:0.610052:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.321915:0.627068:0.331119:0.627068:0.331119:0.609414:0.321915:0.609414:0.000000
–:@0.358049:0.627068:0.367252:0.627068:0.367252:0.609414:0.358049:0.609414:0.000000
senx:@0.367160:0.626486:0.398048:0.626486:0.398048:0.610080:0.367160:0.610080:0.000000:0.000000:0.000000:0.000000
          :@0.398011:0.626486:0.437660:0.626486:0.437660:0.610052:0.398011:0.610052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cos x:@0.437513:0.626486:0.485685:0.626486:0.485685:0.610080:0.437513:0.610080:0.000000:0.000000:0.000000:0.000000:0.000000
 ( ) = :@0.460375:0.626486:0.509301:0.626486:0.509301:0.610052:0.460375:0.610052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.469118:0.627068:0.478322:0.627068:0.478322:0.609414:0.469118:0.609414:0.000000
cosx:@0.509191:0.626486:0.539559:0.626486:0.539559:0.610080:0.509191:0.610080:0.000000:0.000000:0.000000:0.000000
          :@0.539507:0.626486:0.579157:0.626486:0.579157:0.610052:0.539507:0.610052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tan x:@0.579009:0.626486:0.628249:0.626486:0.628249:0.610080:0.579009:0.610080:0.000000:0.000000:0.000000:0.000000:0.000000
 ( )  = :@0.602939:0.626486:0.655823:0.626486:0.655823:0.610052:0.602939:0.610052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.611682:0.627068:0.620886:0.627068:0.620886:0.609414:0.611682:0.609414:0.000000
–:@0.655712:0.627068:0.664916:0.627068:0.664916:0.609414:0.655712:0.609414:0.000000
tanx:@0.664824:0.626486:0.696190:0.626486:0.696190:0.610080:0.664824:0.610080:0.000000:0.000000:0.000000:0.000000
cot x:@0.293623:0.643127:0.340801:0.643127:0.340801:0.626721:0.293623:0.626721:0.000000:0.000000:0.000000:0.000000:0.000000
 ( )  = :@0.315491:0.643127:0.368375:0.643127:0.368375:0.626694:0.315491:0.626694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.324235:0.643710:0.333438:0.643710:0.333438:0.626056:0.324235:0.626056:0.000000
– :@0.368265:0.643710:0.381978:0.643710:0.381978:0.626056:0.368265:0.626056:0.000000:0.000000
ctgx:@0.381978:0.643127:0.411456:0.643127:0.411456:0.626721:0.381978:0.626721:0.000000:0.000000:0.000000:0.000000
          :@0.411319:0.643127:0.450969:0.643127:0.450969:0.626694:0.411319:0.626694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sec x:@0.450821:0.643127:0.493802:0.643127:0.493802:0.626721:0.450821:0.626721:0.000000:0.000000:0.000000:0.000000:0.000000
( ) = :@0.472431:0.643127:0.517419:0.643127:0.517419:0.626694:0.472431:0.626694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.477236:0.643710:0.486439:0.643710:0.486439:0.626056:0.477236:0.626056:0.000000
secx:@0.517308:0.643127:0.546355:0.643127:0.546355:0.626721:0.517308:0.626721:0.000000:0.000000:0.000000:0.000000
          :@0.546318:0.643127:0.585967:0.643127:0.585967:0.626694:0.546318:0.626694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
csc x:@0.585820:0.643127:0.628672:0.643127:0.628672:0.626721:0.585820:0.626721:0.000000:0.000000:0.000000:0.000000:0.000000
( ) = :@0.607301:0.643127:0.652289:0.643127:0.652289:0.626694:0.607301:0.626694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.612106:0.643710:0.621309:0.643710:0.621309:0.626056:0.612106:0.626056:0.000000
–:@0.652178:0.643710:0.661382:0.643710:0.661382:0.626056:0.652178:0.626056:0.000000
cscx:@0.661290:0.643127:0.690208:0.643127:0.690208:0.626721:0.661290:0.626721:0.000000:0.000000:0.000000:0.000000
Identidades de cofunciones:@0.293586:0.670489:0.503197:0.670489:0.503197:0.653820:0.293586:0.653820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen:@0.293586:0.696048:0.317093:0.696048:0.317093:0.679642:0.293586:0.679642:0.000000:0.000000:0.000000
 :@0.317037:0.696048:0.321069:0.696048:0.321069:0.679615:0.317037:0.679615:0.000000
p:@0.329723:0.687276:0.339769:0.687276:0.339769:0.676054:0.329723:0.676054:0.000000
2:@0.331079:0.701596:0.338428:0.701596:0.338428:0.688150:0.331079:0.688150:0.000000
–:@0.344888:0.697285:0.354091:0.697285:0.354091:0.679631:0.344888:0.679631:0.000000
x:@0.353999:0.696703:0.361454:0.696703:0.361454:0.680297:0.353999:0.680297:0.000000
 = :@0.367344:0.696051:0.386230:0.696051:0.386230:0.679617:0.367344:0.679617:0.000000:0.000000:0.000000
cosx:@0.386138:0.696051:0.416506:0.696051:0.416506:0.679645:0.386138:0.679645:0.000000:0.000000:0.000000:0.000000
         :@0.416455:0.696051:0.452147:0.696051:0.452147:0.679617:0.416455:0.679617:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 tan:@0.452018:0.696051:0.479242:0.696051:0.479242:0.679645:0.452018:0.679645:0.000000:0.000000:0.000000:0.000000
 :@0.479205:0.696051:0.483236:0.696051:0.483236:0.679617:0.479205:0.679617:0.000000
p:@0.491781:0.687276:0.501826:0.687276:0.501826:0.676054:0.491781:0.676054:0.000000
2:@0.493136:0.701596:0.500486:0.701596:0.500486:0.688150:0.493136:0.688150:0.000000
–:@0.506945:0.697285:0.516149:0.697285:0.516149:0.679631:0.506945:0.679631:0.000000
x:@0.516057:0.696703:0.523512:0.696703:0.523512:0.680297:0.516057:0.680297:0.000000
 = :@0.529402:0.696051:0.548288:0.696051:0.548288:0.679617:0.529402:0.679617:0.000000:0.000000:0.000000
cotx:@0.548196:0.696051:0.577507:0.696051:0.577507:0.679645:0.548196:0.679645:0.000000:0.000000:0.000000:0.000000
          :@0.577463:0.696051:0.617112:0.696051:0.617112:0.679617:0.577463:0.679617:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sec:@0.616965:0.696051:0.638630:0.696051:0.638630:0.679645:0.616965:0.679645:0.000000:0.000000:0.000000
 :@0.638575:0.696051:0.642606:0.696051:0.642606:0.679617:0.638575:0.679617:0.000000
p:@0.651174:0.687276:0.661220:0.687276:0.661220:0.676054:0.651174:0.676054:0.000000
2:@0.652530:0.701596:0.659879:0.701596:0.659879:0.688150:0.652530:0.688150:0.000000
–:@0.666337:0.697285:0.675540:0.697285:0.675540:0.679631:0.666337:0.679631:0.000000
x:@0.675448:0.696703:0.682903:0.696703:0.682903:0.680297:0.675448:0.680297:0.000000
 = :@0.688794:0.696051:0.707679:0.696051:0.707679:0.679617:0.688794:0.679617:0.000000:0.000000:0.000000
cscx:@0.707587:0.696051:0.736505:0.696051:0.736505:0.679645:0.707587:0.679645:0.000000:0.000000:0.000000:0.000000
cos:@0.293663:0.728752:0.316588:0.728752:0.316588:0.712346:0.293663:0.712346:0.000000:0.000000:0.000000
 :@0.316525:0.728752:0.320556:0.728752:0.320556:0.712318:0.316525:0.712318:0.000000
p:@0.329134:0.719980:0.339180:0.719980:0.339180:0.708758:0.329134:0.708758:0.000000
2:@0.330490:0.734300:0.337839:0.734300:0.337839:0.720854:0.330490:0.720854:0.000000
–:@0.344298:0.729989:0.353502:0.729989:0.353502:0.712335:0.344298:0.712335:0.000000
x:@0.353410:0.729407:0.360865:0.729407:0.360865:0.713000:0.353410:0.713000:0.000000
 = :@0.366755:0.728755:0.385641:0.728755:0.385641:0.712321:0.366755:0.712321:0.000000:0.000000:0.000000
senx:@0.385549:0.728755:0.416437:0.728755:0.416437:0.712349:0.385549:0.712349:0.000000:0.000000:0.000000:0.000000
          :@0.416400:0.728755:0.456049:0.728755:0.456049:0.712321:0.416400:0.712321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cot:@0.455902:0.728755:0.477832:0.728755:0.477832:0.712349:0.455902:0.712349:0.000000:0.000000:0.000000
 :@0.477769:0.728755:0.481801:0.728755:0.481801:0.712321:0.477769:0.712321:0.000000
p:@0.490368:0.719980:0.500414:0.719980:0.500414:0.708758:0.490368:0.708758:0.000000
2:@0.491724:0.734300:0.499073:0.734300:0.499073:0.720854:0.491724:0.720854:0.000000
–:@0.505531:0.729989:0.514735:0.729989:0.514735:0.712335:0.505531:0.712335:0.000000
x:@0.514643:0.729407:0.522097:0.729407:0.522097:0.713000:0.514643:0.713000:0.000000
 = :@0.527988:0.728755:0.546874:0.728755:0.546874:0.712321:0.527988:0.712321:0.000000:0.000000:0.000000
tanx :@0.546770:0.728757:0.581377:0.728757:0.581377:0.712351:0.546770:0.712351:0.000000:0.000000:0.000000:0.000000:0.000000
      :@0.594870:0.728757:0.618689:0.728757:0.618689:0.712323:0.594870:0.712323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
csc:@0.618578:0.728757:0.640115:0.728757:0.640115:0.712351:0.618578:0.712351:0.000000:0.000000:0.000000
 :@0.640060:0.728757:0.644091:0.728757:0.644091:0.712323:0.640060:0.712323:0.000000
p:@0.652667:0.719980:0.662712:0.719980:0.662712:0.708758:0.652667:0.708758:0.000000
2:@0.654022:0.734300:0.661372:0.734300:0.661372:0.720854:0.654022:0.720854:0.000000
–:@0.667831:0.729989:0.677035:0.729989:0.677035:0.712335:0.667831:0.712335:0.000000
x:@0.676943:0.729407:0.684398:0.729407:0.684398:0.713000:0.676943:0.713000:0.000000
 = :@0.690288:0.728755:0.709174:0.728755:0.709174:0.712321:0.690288:0.712321:0.000000:0.000000:0.000000
secx:@0.709082:0.728755:0.738128:0.728755:0.738128:0.712349:0.709082:0.712349:0.000000:0.000000:0.000000:0.000000
Identidades de adición y sustracción:@0.293667:0.772759:0.568714:0.772759:0.568714:0.756089:0.293667:0.756089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen x:@0.293667:0.796542:0.329377:0.796542:0.329377:0.780136:0.293667:0.780136:0.000000:0.000000:0.000000:0.000000:0.000000
(  +  ) = :@0.317118:0.796542:0.379187:0.796542:0.379187:0.780109:0.317118:0.780109:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.348097:0.796542:0.355570:0.796542:0.355570:0.780136:0.348097:0.780136:0.000000
senx cosy:@0.379076:0.796542:0.444209:0.796542:0.444209:0.780136:0.379076:0.780136:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.409927:0.796542:0.413958:0.796542:0.413958:0.780109:0.409927:0.780109:0.000000
 + :@0.444165:0.796542:0.463050:0.796542:0.463050:0.780109:0.444165:0.780109:0.000000:0.000000:0.000000
cosx seny:@0.462958:0.796542:0.527398:0.796542:0.527398:0.780136:0.462958:0.780136:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
             :@0.527439:0.796542:0.579844:0.796542:0.579844:0.780109:0.527439:0.780109:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen x y:@0.293667:0.813184:0.354448:0.813184:0.354448:0.796778:0.293667:0.796778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(  :@0.317118:0.813184:0.333334:0.813184:0.333334:0.796751:0.317118:0.796751:0.000000:0.000000:0.000000
– :@0.333261:0.813767:0.346974:0.813767:0.346974:0.796113:0.333261:0.796113:0.000000:0.000000
) = :@0.354282:0.813184:0.377972:0.813184:0.377972:0.796751:0.354282:0.796751:0.000000:0.000000:0.000000:0.000000
senx cosy cosx seny:@0.377862:0.813184:0.524343:0.813184:0.524343:0.796778:0.377862:0.796778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.442232:0.813184:0.446263:0.813184:0.446263:0.796751:0.442232:0.796751:0.000000
– :@0.446189:0.813767:0.459903:0.813767:0.459903:0.796113:0.446189:0.796113:0.000000:0.000000
cos x:@0.293667:0.840546:0.328788:0.840546:0.328788:0.824140:0.293667:0.824140:0.000000:0.000000:0.000000:0.000000:0.000000
(  +  ) = :@0.316529:0.840546:0.378598:0.840546:0.378598:0.824112:0.316529:0.824112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.347508:0.840546:0.354981:0.840546:0.354981:0.824140:0.347508:0.824140:0.000000
cosx cosy senx seny:@0.378487:0.840546:0.524954:0.840546:0.524954:0.824140:0.378487:0.824140:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.442324:0.840546:0.446355:0.840546:0.446355:0.824112:0.442324:0.824112:0.000000
– :@0.446281:0.841129:0.459995:0.841129:0.459995:0.823475:0.446281:0.823475:0.000000:0.000000
       :@0.524917:0.840546:0.553135:0.840546:0.553135:0.824112:0.524917:0.824112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cos x y:@0.293667:0.857188:0.353859:0.857188:0.353859:0.840782:0.293667:0.840782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(  :@0.316529:0.857188:0.332745:0.857188:0.332745:0.840754:0.316529:0.840754:0.000000:0.000000:0.000000
– :@0.332672:0.857771:0.346385:0.857771:0.346385:0.840116:0.332672:0.840116:0.000000:0.000000
) = :@0.353693:0.857188:0.377383:0.857188:0.377383:0.840754:0.353693:0.840754:0.000000:0.000000:0.000000:0.000000
cosx cosy:@0.377273:0.857188:0.441871:0.857188:0.441871:0.840782:0.377273:0.840782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.407589:0.857188:0.411620:0.857188:0.411620:0.840754:0.407589:0.840754:0.000000
 + :@0.441827:0.857188:0.460713:0.857188:0.460713:0.840754:0.441827:0.840754:0.000000:0.000000:0.000000
senx seny:@0.460621:0.857188:0.525580:0.857188:0.525580:0.840782:0.460621:0.840782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tan x:@0.293685:0.888558:0.333813:0.888558:0.333813:0.872152:0.293685:0.872152:0.000000:0.000000:0.000000:0.000000:0.000000
 (  +  )  = :@0.317615:0.888558:0.387581:0.888558:0.387581:0.872124:0.317615:0.872124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.352533:0.888558:0.360007:0.888558:0.360007:0.872152:0.352533:0.872152:0.000000
tanx + tany:@0.394711:0.879465:0.460209:0.879465:0.460209:0.866042:0.394711:0.866042:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1   :@0.389892:0.894330:0.411157:0.894330:0.411157:0.880884:0.389892:0.880884:0.000000:0.000000:0.000000:0.000000
–:@0.400404:0.894806:0.407934:0.894806:0.407934:0.880362:0.400404:0.880362:0.000000
tanx tany:@0.411097:0.894330:0.465028:0.894330:0.465028:0.880906:0.411097:0.880906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tan x y:@0.474389:0.888562:0.539588:0.888562:0.539588:0.872156:0.474389:0.872156:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 (  :@0.498319:0.888562:0.518475:0.888562:0.518475:0.872128:0.498319:0.872128:0.000000:0.000000:0.000000:0.000000
– :@0.518401:0.889144:0.532114:0.889144:0.532114:0.871490:0.518401:0.871490:0.000000:0.000000
)  = :@0.539422:0.888562:0.567070:0.888562:0.567070:0.872128:0.539422:0.872128:0.000000:0.000000:0.000000:0.000000:0.000000
tanx   tany:@0.572443:0.878573:0.641525:0.878573:0.641525:0.865150:0.572443:0.865150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.600727:0.878119:0.613272:0.878119:0.613272:0.866897:0.600727:0.866897:0.000000
1   :@0.566976:0.890816:0.593211:0.890816:0.593211:0.877370:0.566976:0.877370:0.000000:0.000000:0.000000:0.000000
1:@0.577443:0.890362:0.589988:0.890362:0.589988:0.879140:0.577443:0.879140:0.000000
tanx tany:@0.593091:0.890816:0.646983:0.890816:0.646983:0.877393:0.593091:0.877393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Funciones :@0.080953:0.337494:0.154930:0.337494:0.154930:0.322340:0.080953:0.322340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trigonométricas pares  :@0.080953:0.352623:0.239473:0.352623:0.239473:0.337469:0.080953:0.337469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e impares:@0.080953:0.367752:0.148119:0.367752:0.148119:0.352598:0.080953:0.352598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.136077:0.395497:0.141228:0.395497:0.141228:0.386404:0.136077:0.386404:0.000000
t:@0.187072:0.413364:0.190395:0.413364:0.190395:0.404272:0.187072:0.404272:0.000000
-t:@0.187072:0.445082:0.193438:0.445082:0.193438:0.435990:0.187072:0.435990:0.000000:0.000000
-1:@0.095755:0.438380:0.103948:0.438380:0.103948:0.429287:0.095755:0.429287:0.000000:0.000000
0:@0.138447:0.436595:0.143597:0.436595:0.143597:0.427502:0.138447:0.427502:0.000000
2:@0.226792:0.436595:0.231942:0.436595:0.231942:0.427502:0.226792:0.427502:0.000000
(:@0.175907:0.394604:0.178568:0.394604:0.178568:0.385640:0.175907:0.385640:0.000000
x, y:@0.178528:0.394604:0.190175:0.394604:0.190175:0.385656:0.178528:0.385656:0.000000:0.000000:0.000000:0.000000
) = (:@0.190154:0.394604:0.205697:0.394604:0.205697:0.385640:0.190154:0.385640:0.000000:0.000000:0.000000:0.000000:0.000000
Cost, Sent:@0.205637:0.394604:0.242532:0.394604:0.242532:0.385656:0.205637:0.385656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
):@0.242525:0.394604:0.245185:0.394604:0.245185:0.385640:0.242525:0.385640:0.000000
(:@0.154662:0.466081:0.157323:0.466081:0.157323:0.457117:0.154662:0.457117:0.000000
x, -y  :@0.157282:0.466081:0.176289:0.466081:0.176289:0.457132:0.157282:0.457132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
) = (:@0.171861:0.466081:0.187012:0.466081:0.187012:0.457117:0.171861:0.457117:0.000000:0.000000:0.000000:0.000000:0.000000
Cos -t , Sent -t:@0.186962:0.466081:0.240547:0.466081:0.240547:0.457132:0.186962:0.457132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.200667:0.466081:0.211801:0.466081:0.211801:0.457117:0.200667:0.457117:0.000000:0.000000:0.000000
( )):@0.232043:0.466081:0.245798:0.466081:0.245798:0.457117:0.232043:0.457117:0.000000:0.000000:0.000000:0.000000
Teniendo en :@0.080953:0.492238:0.167042:0.492238:0.167042:0.477298:0.080953:0.477298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuenta la relación :@0.080953:0.506106:0.200995:0.506106:0.200995:0.491166:0.080953:0.491166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entre las funciones :@0.080953:0.519974:0.208677:0.519974:0.208677:0.505034:0.080953:0.505034:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trigonométricas de   y :@0.080953:0.533842:0.230001:0.533842:0.230001:0.518902:0.080953:0.518902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.210556:0.533842:0.215443:0.533842:0.215443:0.518928:0.210556:0.518928:0.000000
las de :@0.080953:0.547710:0.122486:0.547710:0.122486:0.532771:0.080953:0.532771:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.122369:0.547206:0.136308:0.547206:0.136308:0.534737:0.122369:0.534737:0.000000
t:@0.136225:0.547710:0.141111:0.547710:0.141111:0.532796:0.136225:0.532796:0.000000
, de la figura :@0.141044:0.547710:0.224512:0.547710:0.224512:0.532771:0.141044:0.532771:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
podemos concluir::@0.080936:0.561579:0.204609:0.561579:0.204609:0.546639:0.080936:0.546639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sen t:@0.080936:0.579015:0.125130:0.579015:0.125130:0.564100:0.080936:0.564100:0.000000:0.000000:0.000000:0.000000:0.000000
(   ) = :@0.103995:0.579015:0.146600:0.579015:0.146600:0.564075:0.103995:0.564075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.108363:0.579544:0.116730:0.579544:0.116730:0.563495:0.108363:0.563495:0.000000
– :@0.146499:0.579544:0.158966:0.579544:0.158966:0.563495:0.146499:0.563495:0.000000:0.000000
y:@0.158966:0.579015:0.165760:0.579015:0.165760:0.564100:0.158966:0.564100:0.000000
 = :@0.165609:0.579015:0.182778:0.579015:0.182778:0.564075:0.165609:0.564075:0.000000:0.000000:0.000000
–:@0.182695:0.579544:0.191061:0.579544:0.191061:0.563495:0.182695:0.563495:0.000000
Sen t:@0.190978:0.579015:0.221858:0.579015:0.221858:0.564100:0.190978:0.564100:0.000000:0.000000:0.000000:0.000000:0.000000
Cos t:@0.080936:0.596451:0.124912:0.596451:0.124912:0.581536:0.080936:0.581536:0.000000:0.000000:0.000000:0.000000:0.000000
(   ) =   = :@0.103778:0.596451:0.170161:0.596451:0.170161:0.581511:0.103778:0.581511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.108145:0.596980:0.116512:0.596980:0.116512:0.580931:0.108145:0.580931:0.000000
x:@0.146282:0.596451:0.153059:0.596451:0.153059:0.581536:0.146282:0.581536:0.000000
Cos t:@0.170077:0.596451:0.200740:0.596451:0.200740:0.581536:0.170077:0.581536:0.000000:0.000000:0.000000:0.000000:0.000000
Tan t:@0.080919:0.613887:0.125063:0.613887:0.125063:0.598972:0.080919:0.598972:0.000000:0.000000:0.000000:0.000000:0.000000
(   ) =:@0.103928:0.613887:0.142935:0.613887:0.142935:0.598947:0.103928:0.598947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.108296:0.614417:0.116663:0.614417:0.116663:0.598367:0.108296:0.598367:0.000000
–:@0.149108:0.607036:0.156638:0.607036:0.156638:0.592592:0.149108:0.592592:0.000000
y:@0.156563:0.606560:0.162677:0.606560:0.162677:0.593136:0.156563:0.593136:0.000000
x:@0.152662:0.618803:0.159123:0.618803:0.159123:0.605357:0.152662:0.605357:0.000000
 = :@0.168834:0.613905:0.186003:0.613905:0.186003:0.598965:0.168834:0.598965:0.000000:0.000000:0.000000
–:@0.185919:0.614434:0.194286:0.614434:0.194286:0.598385:0.185919:0.598385:0.000000
Tan t:@0.194202:0.613905:0.225033:0.613905:0.225033:0.598990:0.194202:0.598990:0.000000:0.000000:0.000000:0.000000:0.000000
Cot t:@0.080948:0.638489:0.124021:0.638489:0.124021:0.623575:0.080948:0.623575:0.000000:0.000000:0.000000:0.000000:0.000000
(   ) =:@0.102886:0.638489:0.141892:0.638489:0.141892:0.623549:0.102886:0.623549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.107253:0.639019:0.115620:0.639019:0.115620:0.622969:0.107253:0.622969:0.000000
x:@0.151772:0.631357:0.157871:0.631357:0.157871:0.617934:0.151772:0.617934:0.000000
–:@0.148037:0.646698:0.155567:0.646698:0.155567:0.632254:0.148037:0.632254:0.000000
y:@0.155492:0.646221:0.161606:0.646221:0.161606:0.632798:0.155492:0.632798:0.000000
 = :@0.167763:0.638494:0.184932:0.638494:0.184932:0.623554:0.167763:0.623554:0.000000:0.000000:0.000000
–:@0.184848:0.639024:0.193215:0.639024:0.193215:0.622974:0.184848:0.622974:0.000000
Cot t:@0.193131:0.638494:0.222891:0.638494:0.222891:0.623580:0.193131:0.623580:0.000000:0.000000:0.000000:0.000000:0.000000
Sec t:@0.080948:0.663079:0.123468:0.663079:0.123468:0.648164:0.080948:0.648164:0.000000:0.000000:0.000000:0.000000:0.000000
(   ) =:@0.102333:0.663079:0.141340:0.663079:0.141340:0.648139:0.102333:0.648139:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.106701:0.663608:0.115068:0.663608:0.115068:0.647559:0.106701:0.647559:0.000000
1:@0.150594:0.655739:0.157943:0.655739:0.157943:0.642293:0.150594:0.642293:0.000000
x:@0.151046:0.667982:0.157507:0.667982:0.157507:0.654536:0.151046:0.654536:0.000000
 = :@0.167209:0.663083:0.184378:0.663083:0.184378:0.648143:0.167209:0.648143:0.000000:0.000000:0.000000
Sec t:@0.184294:0.663083:0.213502:0.663083:0.213502:0.648168:0.184294:0.648168:0.000000:0.000000:0.000000:0.000000:0.000000
CSC t:@0.080963:0.687667:0.127249:0.687667:0.127249:0.672752:0.080963:0.672752:0.000000:0.000000:0.000000:0.000000:0.000000
(   ) =:@0.106114:0.687667:0.145120:0.687667:0.145120:0.672727:0.106114:0.672727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.110481:0.688197:0.118848:0.688197:0.118848:0.672147:0.110481:0.672147:0.000000
1:@0.154361:0.679642:0.161710:0.679642:0.161710:0.666197:0.154361:0.666197:0.000000
–:@0.151258:0.694983:0.158789:0.694983:0.158789:0.680539:0.151258:0.680539:0.000000
y:@0.158713:0.694507:0.164828:0.694507:0.164828:0.681083:0.158713:0.681083:0.000000
 = :@0.170976:0.687672:0.188145:0.687672:0.188145:0.672732:0.170976:0.672732:0.000000:0.000000:0.000000
–:@0.188061:0.688202:0.196428:0.688202:0.196428:0.672152:0.188061:0.672152:0.000000
Csc t:@0.196344:0.687672:0.225729:0.687672:0.225729:0.672757:0.196344:0.672757:0.000000:0.000000:0.000000:0.000000:0.000000
De estas seis identidades, :@0.080948:0.705108:0.251670:0.705108:0.251670:0.690168:0.080948:0.690168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se concluye que las :@0.080948:0.718976:0.212804:0.718976:0.212804:0.704037:0.080948:0.704037:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funciones coseno y :@0.080948:0.732845:0.212191:0.732845:0.212191:0.717905:0.080948:0.717905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
secante son pares y las :@0.080948:0.746713:0.234168:0.746713:0.234168:0.731773:0.080948:0.731773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funciones seno, tangente, :@0.080948:0.760581:0.254444:0.760581:0.254444:0.745641:0.080948:0.745641:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cotangente y cosecante, :@0.080948:0.774449:0.245974:0.774449:0.245974:0.759509:0.080948:0.759509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son impares.:@0.080948:0.788317:0.163850:0.788317:0.163850:0.773378:0.080948:0.773378:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.080953:0.300762:0.189513:0.300762:0.189513:0.283815:0.080953:0.283815:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.080953:0.317404:0.178428:0.317404:0.178428:0.300457:0.080953:0.300457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 4 (Ev. 1) Reconoce el significado de las razones trigonométricas en un triángulo :@0.448037:0.966318:0.892788:0.966318:0.892788:0.954366:0.448037:0.954366:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rectángulo para ángulos agudos, en particular, seno, coseno y tangente.:@0.448037:0.976404:0.826689:0.976404:0.826689:0.964452:0.448037:0.964452:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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