40:@0.036727:0.974518:0.057230:0.974518:0.057230:0.956333:0.036727:0.956333:0.000000:0.000000
Funciones trigonométricas:@0.073089:0.043661:0.311884:0.043661:0.311884:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 4 (Ev. 3)  Calcula algunos valores de las razones seno y coseno para ángulos no :@0.453380:0.965315:0.894513:0.965315:0.894513:0.953887:0.453380:0.953887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
agudos, auxiliándose de ángulos de referencia inscritos en el círculo unitario:@0.453380:0.977418:0.853460:0.977418:0.853460:0.965991:0.453380:0.965991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En estas condiciones::@0.293660:0.136836:0.454370:0.136836:0.454370:0.120167:0.293660:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.:@0.323781:0.160625:0.335260:0.160625:0.335260:0.144913:0.323781:0.144913:0.000000:0.000000
En la circunferencia unitaria de la figura y en un punto  ( , ) de la misma,:@0.353895:0.160625:0.926950:0.160625:0.926950:0.144913:0.353895:0.144913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P x y:@0.785140:0.160625:0.817832:0.160625:0.817832:0.145190:0.785140:0.145190:0.000000:0.000000:0.000000:0.000000:0.000000
determinado por  , definimos las funciones trigonométricas tal como sigue::@0.353895:0.177267:0.899289:0.177267:0.899289:0.161554:0.353895:0.161554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.482010:0.177267:0.487385:0.177267:0.487385:0.161832:0.482010:0.161832:0.000000
El :@0.087319:0.205621:0.102196:0.205621:0.102196:0.191337:0.087319:0.191337:0.000000:0.000000:0.000000
punto :@0.102109:0.205621:0.147968:0.205621:0.147968:0.190467:0.102109:0.190467:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trigonométrico :@0.087316:0.220750:0.195842:0.220750:0.195842:0.205596:0.087316:0.205596:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es clave :@0.195718:0.220750:0.250995:0.220750:0.250995:0.206466:0.195718:0.206466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el análisis de ondas :@0.087316:0.235879:0.238139:0.235879:0.238139:0.221595:0.087316:0.221595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y oscilaciones, ya que :@0.087316:0.251008:0.232123:0.251008:0.232123:0.236724:0.087316:0.236724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las funciones seno y :@0.087316:0.266137:0.223112:0.266137:0.223112:0.251853:0.087316:0.251853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
coseno, derivadas de él, :@0.087316:0.281266:0.247108:0.281266:0.247108:0.266982:0.087316:0.266982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se utilizan para modelar :@0.087316:0.296395:0.247978:0.296395:0.247978:0.282111:0.087316:0.282111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
señales periódicas. Estas :@0.087316:0.311524:0.250006:0.311524:0.250006:0.297240:0.087316:0.297240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funciones describen :@0.087316:0.326653:0.224663:0.326653:0.224663:0.312368:0.087316:0.312368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cómo varían las ondas :@0.087316:0.341782:0.238082:0.341782:0.238082:0.327497:0.087316:0.327497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en sistemas eléctricos, :@0.087316:0.356911:0.237091:0.356911:0.237091:0.342626:0.087316:0.342626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
acústicos y mecánicos. :@0.087316:0.372040:0.240408:0.372040:0.240408:0.357755:0.087316:0.357755:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Representan la posición :@0.087316:0.387168:0.248500:0.387168:0.248500:0.372884:0.087316:0.372884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y fase de las oscilaciones, :@0.087316:0.402297:0.254765:0.402297:0.254765:0.388013:0.087316:0.388013:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
permitiendo analizar su :@0.087316:0.417426:0.245813:0.417426:0.245813:0.403142:0.087316:0.403142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
frecuencia y amplitud :@0.087316:0.432555:0.234310:0.432555:0.234310:0.418271:0.087316:0.418271:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en fenómenos como :@0.087316:0.447684:0.229347:0.447684:0.229347:0.433400:0.087316:0.433400:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
corrientes alternas, :@0.087316:0.462813:0.214738:0.462813:0.214738:0.448529:0.087316:0.448529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sonido, y movimientos :@0.087316:0.477942:0.240629:0.477942:0.240629:0.463658:0.087316:0.463658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de péndulos o resortes. :@0.087316:0.493071:0.245142:0.493071:0.245142:0.478787:0.087316:0.478787:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Imagen.:@0.087316:0.508200:0.141092:0.508200:0.141092:0.493916:0.087316:0.493916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Entender su :@0.087319:0.619309:0.170179:0.619309:0.170179:0.605025:0.087319:0.605025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funcionamiento te :@0.087319:0.634438:0.213682:0.634438:0.213682:0.620154:0.087319:0.620154:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
permite ver el mundo :@0.087319:0.649567:0.235203:0.649567:0.235203:0.635283:0.087319:0.635283:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con mayor claridad, :@0.087319:0.664696:0.220394:0.664696:0.220394:0.650412:0.087319:0.650412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
desde el movimiento :@0.087319:0.679825:0.231276:0.679825:0.231276:0.665541:0.087319:0.665541:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de las ruedas, hasta las :@0.087319:0.694954:0.239273:0.694954:0.239273:0.680670:0.087319:0.680670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estrellas. Las funciones :@0.087319:0.710083:0.239582:0.710083:0.239582:0.695799:0.087319:0.695799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
seno y coseno revelan :@0.087319:0.725212:0.237420:0.725212:0.237420:0.710928:0.087319:0.710928:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
patrones y ciclos en la :@0.087319:0.740341:0.235861:0.740341:0.235861:0.726057:0.087319:0.726057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
naturaleza, la música y la :@0.087319:0.755470:0.253076:0.755470:0.253076:0.741186:0.087319:0.741186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tecnología.:@0.087319:0.770599:0.160583:0.770599:0.160583:0.756315:0.087319:0.756315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad :@0.078581:0.141152:0.230325:0.141152:0.230325:0.125745:0.078581:0.125745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemáticas  :@0.078581:0.156281:0.170232:0.156281:0.170232:0.141996:0.078581:0.141996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y Física:@0.078581:0.171410:0.124659:0.171410:0.124659:0.157125:0.078581:0.157125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sen t   y :@0.353902:0.219540:0.420267:0.219540:0.420267:0.204105:0.353902:0.204105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.391066:0.218985:0.406400:0.218985:0.406400:0.205269:0.391066:0.205269:0.000000
Cos t   x :@0.486091:0.219540:0.552207:0.219540:0.552207:0.204105:0.486091:0.204105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.523031:0.218985:0.538364:0.218985:0.538364:0.205269:0.523031:0.205269:0.000000
x:@0.691397:0.219999:0.698852:0.219999:0.698852:0.204563:0.691397:0.204563:0.000000
? :@0.700306:0.220235:0.720242:0.220235:0.720242:0.205063:0.700306:0.205063:0.000000:0.000000
0:@0.720242:0.219694:0.729224:0.219694:0.729224:0.203981:0.720242:0.203981:0.000000
x:@0.674222:0.223881:0.681677:0.223881:0.681677:0.208445:0.674222:0.208445:0.000000
y:@0.676909:0.210026:0.684383:0.210026:0.684383:0.194591:0.676909:0.194591:0.000000
Tan t :@0.618300:0.219997:0.655814:0.219997:0.655814:0.204562:0.618300:0.204562:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.655811:0.219444:0.671144:0.219444:0.671144:0.205728:0.655811:0.205728:0.000000
y:@0.427002:0.246834:0.434476:0.246834:0.434476:0.231398:0.427002:0.231398:0.000000
? :@0.435911:0.247069:0.455846:0.247069:0.455846:0.231898:0.435911:0.231898:0.000000:0.000000
0 :@0.455841:0.246530:0.468775:0.247323:0.468775:0.231610:0.455841:0.230817:0.000000:0.000000
y:@0.409827:0.250717:0.417300:0.250717:0.417300:0.235281:0.409827:0.235281:0.000000
1:@0.409366:0.240732:0.418349:0.240732:0.418349:0.225019:0.409366:0.225019:0.000000
Csc t :@0.353905:0.246848:0.389836:0.246848:0.389836:0.231412:0.353905:0.231412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.389833:0.246279:0.405166:0.246279:0.405166:0.232563:0.389833:0.232563:0.000000
x:@0.559200:0.245554:0.566655:0.245554:0.566655:0.230119:0.559200:0.230119:0.000000
? :@0.568109:0.245790:0.588044:0.245790:0.588044:0.230618:0.568109:0.230618:0.000000:0.000000
0 :@0.588039:0.245249:0.600973:0.247323:0.600973:0.231610:0.588039:0.229536:0.000000:0.000000
x:@0.542024:0.249436:0.549479:0.249436:0.549479:0.234001:0.542024:0.234001:0.000000
1:@0.541564:0.239451:0.550547:0.239451:0.550547:0.223738:0.541564:0.223738:0.000000
Sec t :@0.486103:0.245567:0.521831:0.245567:0.521831:0.230131:0.486103:0.230131:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.521828:0.244999:0.537161:0.244999:0.537161:0.231284:0.521828:0.231284:0.000000
y:@0.689724:0.244585:0.697197:0.244585:0.697197:0.229149:0.689724:0.229149:0.000000
? :@0.698633:0.244820:0.718568:0.244820:0.718568:0.229648:0.698633:0.229648:0.000000:0.000000
0:@0.718568:0.244279:0.727551:0.244279:0.727551:0.228567:0.718568:0.228567:0.000000
y:@0.674222:0.248466:0.681695:0.248466:0.681695:0.233031:0.674222:0.233031:0.000000
x:@0.673762:0.238481:0.681216:0.238481:0.681216:0.223046:0.673762:0.223046:0.000000
Cot t :@0.618300:0.244597:0.654636:0.244597:0.654636:0.229162:0.618300:0.229162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.654633:0.244030:0.669966:0.244030:0.669966:0.230314:0.654633:0.230314:0.000000
y:@0.833518:0.193738:0.838905:0.193738:0.838905:0.182612:0.833518:0.182612:0.000000
0:@0.835017:0.246725:0.841492:0.246725:0.841492:0.235400:0.835017:0.235400:0.000000
2:@0.826473:0.277812:0.837525:0.277812:0.837525:0.267927:0.826473:0.267927:0.000000
1:@0.837525:0.278212:0.844000:0.278212:0.844000:0.266887:0.837525:0.266887:0.000000
2:@0.783816:0.246326:0.794868:0.246326:0.794868:0.236440:0.783816:0.236440:0.000000
1:@0.794868:0.246725:0.801343:0.246725:0.801343:0.235400:0.794868:0.235400:0.000000
1:@0.837154:0.206892:0.843628:0.206892:0.843628:0.195567:0.837154:0.195567:0.000000
1:@0.884720:0.246725:0.891195:0.246725:0.891195:0.235400:0.884720:0.235400:0.000000
P ( ,  ):@0.764816:0.221128:0.805537:0.221128:0.805537:0.209803:0.764816:0.209803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.771477:0.220729:0.782530:0.220729:0.782530:0.210843:0.771477:0.210843:0.000000
x y:@0.786046:0.221128:0.802020:0.221128:0.802020:0.210003:0.786046:0.210003:0.000000:0.000000:0.000000
t:@0.860838:0.206894:0.864712:0.206894:0.864712:0.195769:0.860838:0.195769:0.000000
x:@0.906587:0.246728:0.911960:0.246728:0.911960:0.235602:0.906587:0.235602:0.000000
b. Las :@0.323781:0.300872:0.380844:0.300872:0.380844:0.285159:0.323781:0.285159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
razones trigonométricas:@0.380173:0.300872:0.561793:0.300872:0.561793:0.284202:0.380173:0.284202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 del ángulo   (agudo) pueden definirse en términos:@0.561613:0.300872:0.926853:0.300872:0.926853:0.285159:0.561613:0.285159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.644574:0.300317:0.653778:0.300317:0.653778:0.286601:0.644574:0.286601:0.000000
de los lados del triángulo rectángulo :@0.353905:0.317514:0.623384:0.317514:0.623384:0.301801:0.353905:0.301801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
OQP:@0.623075:0.317514:0.656852:0.317514:0.656852:0.300830:0.623075:0.300830:0.000000:0.000000:0.000000
, como sigue::@0.656797:0.317514:0.752680:0.317514:0.752680:0.301801:0.656797:0.301801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.415086:0.349219:0.424584:0.349219:0.424584:0.333784:0.415086:0.333784:0.000000
co:@0.411202:0.336418:0.427898:0.336418:0.427898:0.320983:0.411202:0.320983:0.000000:0.000000
Sen   :@0.353450:0.342656:0.394401:0.342656:0.394401:0.327638:0.353450:0.327638:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u 5 :@0.382018:0.342117:0.414121:0.342117:0.414121:0.328771:0.382018:0.328771:0.000000:0.000000:0.000000:0.000000
 :@0.429385:0.343403:0.432698:0.343403:0.432698:0.327968:0.429385:0.327968:0.000000
h:@0.547284:0.348703:0.556782:0.348703:0.556782:0.333268:0.547284:0.333268:0.000000
ca:@0.543400:0.335903:0.560021:0.335903:0.560021:0.320468:0.543400:0.320468:0.000000:0.000000
Cos   :@0.485648:0.342141:0.526364:0.342141:0.526364:0.327122:0.485648:0.327122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u 5 :@0.513982:0.341601:0.546084:0.341601:0.546084:0.328256:0.513982:0.328256:0.000000:0.000000:0.000000:0.000000
ca:@0.675778:0.348778:0.692400:0.348778:0.692400:0.333342:0.675778:0.333342:0.000000:0.000000
co:@0.675594:0.337045:0.692289:0.337045:0.692289:0.321610:0.675594:0.321610:0.000000:0.000000
Tan   :@0.617845:0.343280:0.658742:0.343280:0.658742:0.328262:0.617845:0.328262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u 5 :@0.646360:0.342741:0.678463:0.342741:0.678463:0.329395:0.646360:0.329395:0.000000:0.000000:0.000000:0.000000
co:@0.411383:0.384302:0.428078:0.384302:0.428078:0.368866:0.411383:0.368866:0.000000:0.000000
ca:@0.411199:0.372569:0.427821:0.372569:0.427821:0.357134:0.411199:0.357134:0.000000:0.000000
Cot   :@0.353450:0.378804:0.393182:0.378804:0.393182:0.363786:0.353450:0.363786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u 5 :@0.380800:0.378265:0.412903:0.378265:0.412903:0.364919:0.380800:0.364919:0.000000:0.000000:0.000000:0.000000
 :@0.429208:0.378270:0.432521:0.378270:0.432521:0.362835:0.429208:0.362835:0.000000
ca:@0.543580:0.385628:0.560202:0.385628:0.560202:0.370193:0.543580:0.370193:0.000000:0.000000
h:@0.548053:0.373895:0.557552:0.373895:0.557552:0.358460:0.548053:0.358460:0.000000
Sec   :@0.485648:0.380131:0.524779:0.380131:0.524779:0.365112:0.485648:0.365112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u 5 :@0.512397:0.379591:0.544500:0.379591:0.544500:0.366246:0.512397:0.366246:0.000000:0.000000:0.000000:0.000000
 :@0.561405:0.378270:0.564719:0.378270:0.564719:0.362835:0.561405:0.362835:0.000000
co:@0.675778:0.385519:0.692473:0.385519:0.692473:0.370084:0.675778:0.370084:0.000000:0.000000
h:@0.680251:0.374855:0.689749:0.374855:0.689749:0.359419:0.680251:0.359419:0.000000
Csc   :@0.617845:0.381088:0.657176:0.381088:0.657176:0.366069:0.617845:0.366069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u 5 :@0.644794:0.380548:0.676896:0.380548:0.676896:0.367203:0.644794:0.367203:0.000000:0.000000:0.000000:0.000000
Ejemplo 4:@0.293660:0.405632:0.369443:0.405632:0.369443:0.388963:0.293660:0.388963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Encuentra los valores de las razones trigonométricas de los ángulos agudos del triángulo :@0.293660:0.432994:0.930853:0.432994:0.930853:0.417281:0.293660:0.417281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rectángulo ABC si se sabe que  = 4 y  = 3 (véase la gráfica).:@0.293660:0.449636:0.729826:0.449636:0.729826:0.433923:0.293660:0.433923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a :@0.515449:0.449636:0.527948:0.449636:0.527948:0.434201:0.515449:0.434201:0.000000:0.000000
b :@0.567560:0.449636:0.580059:0.449636:0.580059:0.434201:0.567560:0.434201:0.000000:0.000000
Puesto que :@0.293679:0.476998:0.379515:0.476998:0.379515:0.461285:0.293679:0.461285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.379383:0.476998:0.387040:0.476998:0.387040:0.461563:0.379383:0.461563:0.000000
2 :@0.386951:0.470936:0.394496:0.470936:0.394496:0.461776:0.386951:0.461776:0.000000:0.000000
5  1  5  1  5 :@0.394445:0.476446:0.559454:0.476446:0.559454:0.462730:0.394445:0.462730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.414196:0.477000:0.423455:0.477000:0.423455:0.461565:0.414196:0.461565:0.000000
2 :@0.423388:0.470936:0.430932:0.470936:0.430932:0.461776:0.423388:0.461776:0.000000:0.000000
b:@0.450632:0.477000:0.459891:0.477000:0.459891:0.461565:0.450632:0.461565:0.000000
2 :@0.459826:0.470936:0.467370:0.470936:0.467370:0.461776:0.459826:0.461776:0.000000:0.000000
4:@0.487068:0.477000:0.496051:0.477000:0.496051:0.461288:0.487068:0.461288:0.000000
2 :@0.495971:0.470936:0.503515:0.470936:0.503515:0.461776:0.495971:0.461776:0.000000:0.000000
3:@0.523215:0.477000:0.532198:0.477000:0.532198:0.461288:0.523215:0.461288:0.000000
2 :@0.532118:0.470936:0.539662:0.470936:0.539662:0.461776:0.532118:0.461776:0.000000:0.000000
16:@0.559362:0.477000:0.577254:0.477000:0.577254:0.461288:0.559362:0.461288:0.000000:0.000000
 :@0.577165:0.470936:0.579515:0.470936:0.579515:0.461776:0.577165:0.461776:0.000000
1  5 :@0.579470:0.476446:0.630269:0.476446:0.630269:0.462730:0.579470:0.462730:0.000000:0.000000:0.000000:0.000000:0.000000
9:@0.599221:0.477000:0.608203:0.477000:0.608203:0.461288:0.599221:0.461288:0.000000
 :@0.608123:0.470936:0.610473:0.470936:0.610473:0.461776:0.608123:0.461776:0.000000
25, :@0.630177:0.477000:0.655155:0.477000:0.655155:0.461288:0.630177:0.461288:0.000000:0.000000:0.000000:0.000000
c:@0.655045:0.477000:0.662702:0.477000:0.662702:0.461565:0.655045:0.461565:0.000000
 :@0.662645:0.470936:0.664995:0.470936:0.664995:0.461776:0.662645:0.461776:0.000000
5 :@0.664948:0.476446:0.684791:0.476446:0.684791:0.462730:0.664948:0.462730:0.000000:0.000000
5 y por tanto::@0.684699:0.477000:0.780777:0.477000:0.780777:0.461288:0.684699:0.461288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.355294:0.524046:0.364277:0.524046:0.364277:0.508334:0.355294:0.508334:0.000000
4:@0.355609:0.511399:0.364592:0.511399:0.364592:0.495686:0.355609:0.495686:0.000000
Sen A :@0.293660:0.517577:0.336440:0.517577:0.336440:0.502142:0.293660:0.502142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 :@0.336440:0.517023:0.356708:0.517023:0.356708:0.503307:0.336440:0.503307:0.000000:0.000000
5:@0.479945:0.524046:0.488928:0.524046:0.488928:0.508334:0.479945:0.508334:0.000000
3:@0.480258:0.511399:0.489241:0.511399:0.489241:0.495686:0.480258:0.495686:0.000000
Cos A :@0.418309:0.517577:0.460848:0.517577:0.460848:0.502142:0.418309:0.502142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 :@0.460848:0.517023:0.481115:0.517023:0.481115:0.503307:0.460848:0.503307:0.000000:0.000000
3:@0.605067:0.524046:0.614050:0.524046:0.614050:0.508334:0.605067:0.508334:0.000000
4:@0.605380:0.511399:0.614363:0.511399:0.614363:0.495686:0.605380:0.495686:0.000000
Tan A :@0.543433:0.517577:0.586159:0.517577:0.586159:0.502142:0.543433:0.502142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 :@0.586159:0.517023:0.606427:0.517023:0.606427:0.503307:0.586159:0.503307:0.000000:0.000000
4:@0.355294:0.549261:0.364277:0.549261:0.364277:0.533549:0.355294:0.533549:0.000000
3:@0.355607:0.536613:0.364590:0.536613:0.364590:0.520901:0.355607:0.520901:0.000000
Cot A :@0.293660:0.542791:0.335186:0.542791:0.335186:0.527356:0.293660:0.527356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 :@0.335186:0.542236:0.355454:0.542236:0.355454:0.528521:0.335186:0.528521:0.000000:0.000000
3:@0.479945:0.549261:0.488928:0.549261:0.488928:0.533549:0.479945:0.533549:0.000000
5:@0.480258:0.536613:0.489241:0.536613:0.489241:0.520901:0.480258:0.520901:0.000000
Sec A :@0.418309:0.542791:0.459219:0.542791:0.459219:0.527356:0.418309:0.527356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 :@0.459219:0.542236:0.479487:0.542236:0.479487:0.528521:0.459219:0.528521:0.000000:0.000000
4:@0.605067:0.549261:0.614050:0.549261:0.614050:0.533549:0.605067:0.533549:0.000000
5:@0.605380:0.536613:0.614363:0.536613:0.614363:0.520901:0.605380:0.520901:0.000000
Csc A :@0.543433:0.542791:0.584549:0.542791:0.584549:0.527356:0.543433:0.527356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 :@0.584549:0.542236:0.604817:0.542236:0.604817:0.528521:0.584549:0.528521:0.000000:0.000000
5:@0.355294:0.574055:0.364277:0.574055:0.364277:0.558342:0.355294:0.558342:0.000000
3:@0.355607:0.561407:0.364590:0.561407:0.364590:0.545695:0.355607:0.545695:0.000000
Sen B:@0.293660:0.567586:0.332004:0.567586:0.332004:0.552151:0.293660:0.552151:0.000000:0.000000:0.000000:0.000000:0.000000
5 :@0.332004:0.567031:0.352272:0.567031:0.352272:0.553316:0.332004:0.553316:0.000000:0.000000
5:@0.479945:0.574055:0.488928:0.574055:0.488928:0.558342:0.479945:0.558342:0.000000
4:@0.480258:0.561407:0.489241:0.561407:0.489241:0.545695:0.480258:0.545695:0.000000
Cos B :@0.418309:0.567586:0.459781:0.567586:0.459781:0.552151:0.418309:0.552151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 :@0.459781:0.567031:0.480049:0.567031:0.480049:0.553316:0.459781:0.553316:0.000000:0.000000
4:@0.605067:0.574055:0.614050:0.574055:0.614050:0.558342:0.605067:0.558342:0.000000
3:@0.605380:0.561407:0.614363:0.561407:0.614363:0.545695:0.605380:0.545695:0.000000
Tan B :@0.543433:0.567586:0.585092:0.567586:0.585092:0.552151:0.543433:0.552151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 :@0.585092:0.567031:0.605360:0.567031:0.605360:0.553316:0.585092:0.553316:0.000000:0.000000
3:@0.355294:0.599269:0.364277:0.599269:0.364277:0.583556:0.355294:0.583556:0.000000
4:@0.355609:0.586620:0.364592:0.586620:0.364592:0.570907:0.355609:0.570907:0.000000
Cot B :@0.293660:0.592800:0.334120:0.592800:0.334120:0.577364:0.293660:0.577364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 :@0.334120:0.592245:0.354388:0.592245:0.354388:0.578529:0.334120:0.578529:0.000000:0.000000
4:@0.479945:0.599269:0.488928:0.599269:0.488928:0.583556:0.479945:0.583556:0.000000
5:@0.480258:0.586620:0.489241:0.586620:0.489241:0.570907:0.480258:0.570907:0.000000
Sec B :@0.418309:0.592800:0.458153:0.592800:0.458153:0.577364:0.418309:0.577364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 :@0.458153:0.592245:0.478420:0.592245:0.478420:0.578529:0.458153:0.578529:0.000000:0.000000
3:@0.605067:0.599269:0.614050:0.599269:0.614050:0.583556:0.605067:0.583556:0.000000
5:@0.605380:0.586620:0.614363:0.586620:0.614363:0.570907:0.605380:0.570907:0.000000
Csc B :@0.543433:0.592800:0.583483:0.592800:0.583483:0.577364:0.543433:0.577364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 :@0.583483:0.592245:0.603751:0.592245:0.603751:0.578529:0.583483:0.578529:0.000000:0.000000
A:@0.742096:0.501661:0.751981:0.501661:0.751981:0.486225:0.742096:0.486225:0.000000
C:@0.741617:0.591499:0.751520:0.591499:0.751520:0.576063:0.741617:0.576063:0.000000
b:@0.736887:0.545595:0.746146:0.545595:0.746146:0.530160:0.736887:0.530160:0.000000
a:@0.816719:0.588531:0.825978:0.588531:0.825978:0.573096:0.816719:0.573096:0.000000
B:@0.887826:0.590694:0.896662:0.590694:0.896662:0.575259:0.887826:0.575259:0.000000
c:@0.816006:0.536755:0.823664:0.536755:0.823664:0.521319:0.816006:0.521319:0.000000
1.4 Ley del seno y ley del coseno:@0.293660:0.641385:0.538339:0.641385:0.538339:0.624716:0.293660:0.624716:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Consideremos los siguientes triángulos::@0.293660:0.668747:0.580453:0.668747:0.580453:0.653034:0.293660:0.653034:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.470878:0.783339:0.480763:0.783339:0.480763:0.767903:0.470878:0.767903:0.000000
A:@0.609043:0.694804:0.618928:0.694804:0.618928:0.679369:0.609043:0.679369:0.000000
A:@0.732795:0.693556:0.742680:0.693556:0.742680:0.678121:0.732795:0.678121:0.000000
C:@0.470400:0.693417:0.480303:0.693417:0.480303:0.677982:0.470400:0.677982:0.000000
C:@0.512663:0.783353:0.522566:0.783353:0.522566:0.767917:0.512663:0.767917:0.000000
C:@0.759412:0.783353:0.769315:0.783353:0.769315:0.767917:0.759412:0.767917:0.000000
b:@0.479732:0.738406:0.488991:0.738406:0.488991:0.722970:0.479732:0.722970:0.000000
b:@0.553417:0.732096:0.562675:0.732096:0.562675:0.716660:0.553417:0.716660:0.000000
b:@0.737968:0.741748:0.747227:0.741748:0.747227:0.726313:0.737968:0.726313:0.000000
a:@0.387530:0.728559:0.396789:0.728559:0.396789:0.713124:0.387530:0.713124:0.000000
a:@0.611565:0.780371:0.620824:0.780371:0.620824:0.764936:0.611565:0.764936:0.000000
a:@0.826617:0.780371:0.835876:0.780371:0.835876:0.764936:0.826617:0.764936:0.000000
B:@0.299420:0.783271:0.308255:0.783271:0.308255:0.767835:0.299420:0.767835:0.000000
B:@0.718295:0.783340:0.727131:0.783340:0.727131:0.767905:0.718295:0.767905:0.000000
B:@0.901135:0.783340:0.909970:0.783340:0.909970:0.767905:0.901135:0.767905:0.000000
c:@0.389045:0.781565:0.396702:0.781565:0.396702:0.766130:0.389045:0.766130:0.000000
c:@0.671568:0.732250:0.679225:0.732250:0.679225:0.716814:0.671568:0.716814:0.000000
c:@0.827256:0.733844:0.834914:0.733844:0.834914:0.718409:0.827256:0.718409:0.000000
:@0.475837:0.720229:0.476516:0.720229:0.476516:0.717327:0.475837:0.717327:0.000000
Triángulo 1 :@0.351864:0.812812:0.437016:0.812812:0.437016:0.797100:0.351864:0.797100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Triángulo 2 :@0.572751:0.812812:0.657903:0.812812:0.657903:0.797100:0.572751:0.797100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Triángulo 3:@0.791926:0.812812:0.873139:0.812812:0.873139:0.797100:0.791926:0.797100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El triángulo 1 es rectángulo, pues, uno de sus ángulos es recto. Los triángulos 2 y 3 no :@0.293660:0.836601:0.930463:0.836601:0.930463:0.820889:0.293660:0.820889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tienen ningún ángulo recto y reciben el nombre de triángulos oblicuángulos.:@0.293660:0.853243:0.853485:0.853243:0.853485:0.837531:0.293660:0.837531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para el triángulo rectángulo se cumple la relación pitagórica          : :@0.293660:0.877027:0.826495:0.877033:0.826495:0.861321:0.293660:0.861315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.731421:0.877027:0.740680:0.877027:0.740680:0.861592:0.731421:0.861592:0.000000
2:@0.740622:0.870970:0.745859:0.870970:0.745859:0.861809:0.740622:0.861809:0.000000
5:@0.749768:0.876479:0.765102:0.876479:0.765102:0.862763:0.749768:0.862763:0.000000
b:@0.768967:0.877033:0.778226:0.877033:0.778226:0.861598:0.768967:0.861598:0.000000
2:@0.778147:0.870970:0.783384:0.870970:0.783384:0.861809:0.778147:0.861809:0.000000
1:@0.787294:0.876479:0.802627:0.876479:0.802627:0.862763:0.787294:0.862763:0.000000
c:@0.806493:0.877033:0.814150:0.877033:0.814150:0.861598:0.806493:0.861598:0.000000
2:@0.814070:0.870970:0.819307:0.870970:0.819307:0.861809:0.814070:0.861809:0.000000
Ejemplo 5:@0.293660:0.900817:0.369443:0.900817:0.369443:0.884148:0.293660:0.884148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si en el triángulo rectángulo :@0.293660:0.924601:0.514321:0.924601:0.514321:0.908889:0.293660:0.908889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ABC:@0.515670:0.924601:0.544551:0.924601:0.544551:0.909166:0.515670:0.909166:0.000000:0.000000:0.000000
 que se muestra a continuación,     2  5 y     4, :@0.544698:0.924601:0.930938:0.924601:0.930938:0.908889:0.544698:0.908889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.794779:0.924601:0.804038:0.924601:0.804038:0.909166:0.794779:0.909166:0.000000
5:@0.809597:0.924047:0.824930:0.924047:0.824930:0.910331:0.809597:0.910331:0.000000
b:@0.878790:0.924601:0.888049:0.924601:0.888049:0.909166:0.878790:0.909166:0.000000
5:@0.893608:0.924047:0.908941:0.924047:0.908941:0.910331:0.893608:0.910331:0.000000
determina el valor de  .:@0.293642:0.941243:0.462510:0.941243:0.462510:0.925531:0.293642:0.925531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.451723:0.941243:0.459381:0.941243:0.459381:0.925808:0.451723:0.925808:0.000000
!:@0.843426:0.922517:0.849489:0.922517:0.849489:0.909421:0.843426:0.909421:0.000000
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