66:@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
a.:@0.325203:0.136836:0.336690:0.136836:0.336690:0.120402:0.325203:0.120402:0.000000:0.000000
Demostremos la identidad, iniciando con el miembro izquierdo de la igualdad:@0.355405:0.136836:0.926422:0.136836:0.926422:0.120402:0.355405:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
propuesta::@0.355331:0.153478:0.432818:0.153478:0.432818:0.137044:0.355331:0.137044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cosx:@0.343576:0.186829:0.373944:0.186829:0.373944:0.170422:0.343576:0.170422:0.000000:0.000000:0.000000:0.000000
=:@0.395374:0.193263:0.406344:0.193263:0.406344:0.176857:0.395374:0.176857:0.000000
cosx:@0.428359:0.186829:0.458728:0.186829:0.458728:0.170422:0.428359:0.170422:0.000000:0.000000:0.000000:0.000000
=:@0.480746:0.193263:0.491717:0.193263:0.491717:0.176857:0.480746:0.176857:0.000000
cosx:@0.501878:0.171421:0.532246:0.171421:0.532246:0.155015:0.501878:0.155015:0.000000:0.000000:0.000000:0.000000
=:@0.542411:0.193263:0.553381:0.193263:0.553381:0.176830:0.542411:0.176830:0.000000
cos x:@0.559437:0.186829:0.594955:0.186829:0.594955:0.170422:0.559437:0.170422:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.582311:0.180765:0.587548:0.180765:0.587548:0.171184:0.582311:0.171184:0.000000
=:@0.601011:0.193263:0.611982:0.193263:0.611982:0.176857:0.601011:0.176857:0.000000
1   :@0.618185:0.186829:0.644176:0.186829:0.644176:0.170395:0.618185:0.170395:0.000000:0.000000:0.000000:0.000000
–:@0.631033:0.187411:0.640237:0.187411:0.640237:0.169757:0.631033:0.169757:0.000000
sen x:@0.644102:0.186829:0.680189:0.186829:0.680189:0.170422:0.644102:0.170422:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.667543:0.180765:0.672780:0.180765:0.672780:0.171184:0.667543:0.171184:0.000000
=:@0.686392:0.193263:0.697363:0.193263:0.697363:0.176857:0.686392:0.176857:0.000000
1:@0.714905:0.186829:0.723888:0.186829:0.723888:0.170395:0.714905:0.170395:0.000000
–:@0.742314:0.194193:0.751517:0.194193:0.751517:0.176538:0.742314:0.176538:0.000000
sen x:@0.762543:0.186829:0.798625:0.186829:0.798625:0.170422:0.762543:0.170422:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.785981:0.180765:0.791217:0.180765:0.791217:0.171184:0.785981:0.171184:0.000000
= cscx   senx:@0.808767:0.193263:0.902313:0.193610:0.902313:0.177204:0.808767:0.176857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.859074:0.194193:0.868278:0.194193:0.868278:0.176538:0.859074:0.176538:0.000000
1:@0.512576:0.186829:0.521559:0.186829:0.521559:0.170395:0.512576:0.170395:0.000000
secx senx:@0.327178:0.202236:0.390278:0.202236:0.390278:0.185830:0.327178:0.185830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.421276:0.202236:0.430259:0.202236:0.430259:0.185802:0.421276:0.185802:0.000000
senx:@0.445886:0.209933:0.476774:0.209933:0.476774:0.193527:0.445886:0.193527:0.000000:0.000000:0.000000:0.000000
senx:@0.501624:0.202236:0.532511:0.202236:0.532511:0.185830:0.501624:0.185830:0.000000:0.000000:0.000000:0.000000
senx:@0.561742:0.202236:0.592629:0.202236:0.592629:0.185830:0.561742:0.185830:0.000000:0.000000:0.000000:0.000000
senx:@0.633732:0.202236:0.664620:0.202236:0.664620:0.185830:0.633732:0.185830:0.000000:0.000000:0.000000:0.000000
senx:@0.703938:0.202236:0.734825:0.202236:0.734825:0.185830:0.703938:0.185830:0.000000:0.000000:0.000000:0.000000
senx:@0.765123:0.202236:0.796011:0.202236:0.796011:0.185830:0.765123:0.185830:0.000000:0.000000:0.000000:0.000000
cosx:@0.410581:0.217644:0.440950:0.217644:0.440950:0.201238:0.410581:0.201238:0.000000:0.000000:0.000000:0.000000
cosx:@0.501900:0.217644:0.532268:0.217644:0.532268:0.201238:0.501900:0.201238:0.000000:0.000000:0.000000:0.000000
L.Q.Q.D. (lo que queríamos demostrar):@0.323791:0.235312:0.599136:0.235312:0.599136:0.218878:0.323791:0.218878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b. Demostremos la identidad, iniciando con el miembro derecho de la igualdad:@0.325203:0.262675:0.927044:0.262675:0.927044:0.246241:0.325203:0.246241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
propuesta::@0.355331:0.279317:0.432818:0.279317:0.432818:0.262883:0.355331:0.262883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cscx senx:@0.334114:0.333560:0.410909:0.333560:0.410909:0.317154:0.334114:0.317154:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.362995:0.333560:0.380096:0.333560:0.380096:0.317127:0.362995:0.317127:0.000000:0.000000:0.000000
–:@0.366953:0.334143:0.376156:0.334143:0.376156:0.316489:0.366953:0.316489:0.000000
 =:@0.410872:0.333560:0.425801:0.333560:0.425801:0.317127:0.410872:0.317127:0.000000:0.000000
1:@0.442643:0.326917:0.451626:0.326917:0.451626:0.310484:0.442643:0.310484:0.000000
–:@0.469813:0.334143:0.479016:0.334143:0.479016:0.316489:0.469813:0.316489:0.000000
senx =:@0.487097:0.331966:0.535287:0.331966:0.535287:0.315532:0.487097:0.315532:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1   :@0.542006:0.326917:0.567831:0.326917:0.567831:0.310484:0.542006:0.310484:0.000000:0.000000:0.000000:0.000000
–:@0.554688:0.327500:0.563892:0.327500:0.563892:0.309846:0.554688:0.309846:0.000000
sen x:@0.567573:0.326917:0.603645:0.326912:0.603645:0.310506:0.567573:0.310511:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.591001:0.320849:0.596238:0.320849:0.596238:0.311268:0.591001:0.311268:0.000000
=:@0.608836:0.331960:0.619807:0.331960:0.619807:0.315527:0.608836:0.315527:0.000000
cos x:@0.628587:0.326912:0.664091:0.326912:0.664091:0.310506:0.628587:0.310506:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.651447:0.320849:0.656684:0.320849:0.656684:0.311268:0.651447:0.311268:0.000000
=:@0.672871:0.331960:0.683842:0.331960:0.683842:0.315527:0.672871:0.315527:0.000000
cosx cosx:@0.699746:0.326912:0.763647:0.326912:0.763647:0.310506:0.699746:0.310506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.779597:0.331960:0.790567:0.331960:0.790567:0.315527:0.779597:0.315527:0.000000
cosx cosx:@0.799145:0.326912:0.863046:0.326912:0.863046:0.310506:0.799145:0.310506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.891697:0.301908:0.900679:0.301908:0.900679:0.285474:0.891697:0.285474:0.000000
cosx:@0.881002:0.319451:0.911370:0.319451:0.911370:0.303045:0.881002:0.303045:0.000000:0.000000:0.000000:0.000000
senx:@0.430521:0.344456:0.463746:0.344456:0.463746:0.328022:0.430521:0.328022:0.000000:0.000000:0.000000:0.000000
senx:@0.557366:0.344456:0.588253:0.344456:0.588253:0.328050:0.557366:0.328050:0.000000:0.000000:0.000000:0.000000
senx:@0.630884:0.344456:0.661772:0.344456:0.661772:0.328050:0.630884:0.328050:0.000000:0.000000:0.000000:0.000000
senx:@0.716276:0.344456:0.747163:0.344456:0.747163:0.328050:0.716276:0.328050:0.000000:0.000000:0.000000:0.000000
senx:@0.815656:0.344456:0.846544:0.344456:0.846544:0.328050:0.815656:0.328050:0.000000:0.000000:0.000000:0.000000
1:@0.891697:0.344456:0.900679:0.344456:0.900679:0.328022:0.891697:0.328022:0.000000
cosx:@0.881002:0.361999:0.911370:0.361999:0.911370:0.345593:0.881002:0.345593:0.000000:0.000000:0.000000:0.000000
=:@0.328982:0.394527:0.339953:0.394527:0.339953:0.378094:0.328982:0.378094:0.000000
cosx:@0.373601:0.385749:0.403969:0.385749:0.403969:0.369343:0.373601:0.369343:0.000000:0.000000:0.000000:0.000000
=:@0.438321:0.394527:0.449292:0.394527:0.449292:0.378094:0.438321:0.378094:0.000000
cosx:@0.481633:0.385749:0.512002:0.385749:0.512002:0.369343:0.481633:0.369343:0.000000:0.000000:0.000000:0.000000
senx secx:@0.357200:0.404443:0.420300:0.404443:0.420300:0.388037:0.357200:0.388037:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
secx senx:@0.465251:0.404443:0.528351:0.404443:0.528351:0.388037:0.465251:0.388037:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L.Q.Q.D.:@0.323773:0.423193:0.379250:0.423193:0.379250:0.406759:0.323773:0.406759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c.:@0.325203:0.446988:0.336340:0.446988:0.336340:0.430555:0.325203:0.430555:0.000000:0.000000
Demostremos la identidad, usando las identidades trigonométricas básicas en:@0.355406:0.446988:0.926965:0.446988:0.926965:0.430555:0.355406:0.430555:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ambos lados de la igualdad propuesta::@0.355333:0.463630:0.635640:0.463630:0.635640:0.447196:0.355333:0.447196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cosx:@0.544195:0.485602:0.574563:0.485602:0.574563:0.469196:0.544195:0.469196:0.000000:0.000000:0.000000:0.000000
= :@0.601423:0.495976:0.616351:0.495976:0.616351:0.479542:0.601423:0.479542:0.000000:0.000000
cscx   senx:@0.616259:0.495976:0.691618:0.495976:0.691618:0.479570:0.616259:0.479570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.648380:0.496558:0.657583:0.496558:0.657583:0.478904:0.648380:0.478904:0.000000
senx secx:@0.527794:0.506100:0.590894:0.506100:0.590894:0.489694:0.527794:0.489694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cosx:@0.530188:0.529847:0.560557:0.529847:0.560557:0.513441:0.530188:0.513441:0.000000:0.000000:0.000000:0.000000
=:@0.594908:0.537308:0.605879:0.537308:0.605879:0.520874:0.594908:0.520874:0.000000
1:@0.631668:0.529847:0.640650:0.529847:0.640650:0.513413:0.631668:0.513413:0.000000
–:@0.665279:0.539499:0.674483:0.539499:0.674483:0.521845:0.665279:0.521845:0.000000
 senx:@0.674391:0.538917:0.708518:0.538917:0.708518:0.522511:0.674391:0.522511:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.519052:0.548555:0.528035:0.548555:0.528035:0.532121:0.519052:0.532121:0.000000
senx:@0.551725:0.557334:0.582612:0.557334:0.582612:0.540928:0.551725:0.540928:0.000000:0.000000:0.000000:0.000000
senx:@0.620697:0.548555:0.651584:0.548555:0.651584:0.532149:0.620697:0.532149:0.000000:0.000000:0.000000:0.000000
cosx:@0.508357:0.566098:0.538726:0.566098:0.538726:0.549692:0.508357:0.549692:0.000000:0.000000:0.000000:0.000000
cosx:@0.528475:0.588687:0.558843:0.588687:0.558843:0.572281:0.528475:0.572281:0.000000:0.000000:0.000000:0.000000
=:@0.593195:0.613747:0.604165:0.613747:0.604165:0.597313:0.593195:0.597313:0.000000
1  :@0.636268:0.606231:0.658320:0.606231:0.658320:0.589797:0.636268:0.589797:0.000000:0.000000:0.000000
–:@0.645177:0.606813:0.654380:0.606813:0.654380:0.589159:0.645177:0.589159:0.000000
sen x:@0.658246:0.606231:0.694341:0.606236:0.694341:0.589829:0.658246:0.589824:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.681697:0.600172:0.686934:0.600172:0.686934:0.590591:0.681697:0.590591:0.000000
1:@0.539168:0.606236:0.548150:0.606236:0.548150:0.589802:0.539168:0.589802:0.000000
senx:@0.528197:0.623779:0.559084:0.623779:0.559084:0.607373:0.528197:0.607373:0.000000:0.000000:0.000000:0.000000
senx:@0.649851:0.623779:0.680738:0.623779:0.680738:0.607373:0.649851:0.607373:0.000000:0.000000:0.000000:0.000000
cosx:@0.528473:0.641322:0.558841:0.641322:0.558841:0.624916:0.528473:0.624916:0.000000:0.000000:0.000000:0.000000
cos x:@0.545334:0.665076:0.580843:0.665076:0.580843:0.648670:0.545334:0.648670:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.568199:0.659012:0.573436:0.659012:0.573436:0.649431:0.568199:0.649431:0.000000
=:@0.604865:0.673854:0.615836:0.673854:0.615836:0.657421:0.604865:0.657421:0.000000
cos x:@0.639783:0.665076:0.675304:0.665076:0.675304:0.648670:0.639783:0.648670:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.662660:0.659012:0.667897:0.659012:0.667897:0.649431:0.662660:0.649431:0.000000
senx:@0.547632:0.683770:0.578519:0.683770:0.578519:0.667364:0.547632:0.667364:0.000000:0.000000:0.000000:0.000000
senx:@0.642098:0.683770:0.672985:0.683770:0.672985:0.667364:0.642098:0.667364:0.000000:0.000000:0.000000:0.000000
De esta manera, hemos llegado a una igualdad válida, así que la identidad queda :@0.323781:0.713240:0.930690:0.713240:0.930690:0.696806:0.323781:0.696806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
demostrada. :@0.323781:0.729882:0.418799:0.729882:0.418799:0.713448:0.323781:0.713448:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2. Demuestra la identidad (:@0.293660:0.757248:0.510848:0.757248:0.510848:0.740578:0.293660:0.740578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tanx:@0.510675:0.757248:0.543723:0.757248:0.543723:0.740564:0.510675:0.740564:0.000000:0.000000:0.000000:0.000000
 + :@0.543661:0.757248:0.562289:0.757248:0.562289:0.740578:0.543661:0.740578:0.000000:0.000000:0.000000
cotx:@0.562197:0.757248:0.593092:0.757248:0.593092:0.740564:0.562197:0.740564:0.000000:0.000000:0.000000:0.000000
) = :@0.593029:0.757248:0.620693:0.757248:0.620693:0.740578:0.593029:0.740578:0.000000:0.000000:0.000000:0.000000
2 :@0.598203:0.751184:0.605941:0.751184:0.605941:0.741465:0.598203:0.741465:0.000000:0.000000
sec x:@0.620620:0.757248:0.656977:0.757248:0.656977:0.740564:0.620620:0.740564:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.643400:0.751184:0.648905:0.751184:0.648905:0.741465:0.643400:0.741465:0.000000
 + :@0.656904:0.757248:0.675532:0.757248:0.675532:0.740578:0.656904:0.740578:0.000000:0.000000:0.000000
csc:@0.675440:0.757248:0.697794:0.757248:0.697794:0.740564:0.675440:0.740564:0.000000:0.000000:0.000000
2:@0.697745:0.751184:0.703250:0.751184:0.703250:0.741465:0.697745:0.741465:0.000000
x.:@0.703203:0.757248:0.715462:0.757248:0.715462:0.740578:0.703203:0.740578:0.000000:0.000000
Haremos la demostración, partiendo del lado izquierdo de la igualdad propuesta::@0.323774:0.782113:0.911262:0.782113:0.911262:0.765679:0.323774:0.765679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.464314:0.809475:0.469192:0.809475:0.469192:0.793041:0.464314:0.793041:0.000000
tanx:@0.469118:0.809475:0.500484:0.809475:0.500484:0.793069:0.469118:0.793069:0.000000:0.000000:0.000000:0.000000
 + :@0.500447:0.809475:0.519333:0.809475:0.519333:0.793041:0.500447:0.793041:0.000000:0.000000:0.000000
cotx:@0.519241:0.809475:0.548553:0.809475:0.548553:0.793069:0.519241:0.793069:0.000000:0.000000:0.000000:0.000000
) = :@0.548509:0.809475:0.575706:0.809473:0.575706:0.793039:0.548509:0.793041:0.000000:0.000000:0.000000:0.000000
2 :@0.553284:0.803409:0.560829:0.803409:0.560829:0.793828:0.553284:0.793828:0.000000:0.000000
tan x :@0.575614:0.809473:0.615436:0.809473:0.615436:0.793067:0.575614:0.793067:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.599552:0.803409:0.604789:0.803409:0.604789:0.793828:0.599552:0.793828:0.000000
+ 2:@0.615380:0.809473:0.639218:0.809473:0.639218:0.793039:0.615380:0.793039:0.000000:0.000000:0.000000
tanx cotx  cot x:@0.639126:0.809473:0.756254:0.809473:0.756254:0.793067:0.639126:0.793067:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.670455:0.809473:0.674486:0.809473:0.674486:0.793039:0.670455:0.793039:0.000000
+ :@0.706920:0.809473:0.721848:0.809473:0.721848:0.793039:0.706920:0.793039:0.000000:0.000000
2:@0.743609:0.803409:0.748846:0.803409:0.748846:0.793828:0.743609:0.793828:0.000000
= :@0.483036:0.838152:0.497964:0.838152:0.497964:0.821718:0.483036:0.821718:0.000000:0.000000
sec x:@0.497872:0.838152:0.532143:0.838156:0.532143:0.821750:0.497872:0.821746:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.519497:0.832092:0.524734:0.832092:0.524734:0.822511:0.519497:0.822511:0.000000
   1 + 2 :@0.532069:0.838156:0.589758:0.838156:0.589758:0.821722:0.532069:0.821722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.536027:0.838738:0.545230:0.838738:0.545230:0.821084:0.536027:0.821084:0.000000
senx cosx:@0.603506:0.833368:0.667928:0.833368:0.667928:0.816962:0.603506:0.816962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cosx :@0.602089:0.847499:0.638590:0.847499:0.638590:0.831065:0.602089:0.831065:0.000000:0.000000:0.000000:0.000000:0.000000
senx:@0.638480:0.847499:0.669367:0.847499:0.669367:0.831093:0.638480:0.831093:0.000000:0.000000:0.000000:0.000000
 + :@0.684608:0.838152:0.703494:0.838152:0.703494:0.821718:0.684608:0.821718:0.000000:0.000000:0.000000
csc x:@0.703402:0.838152:0.737529:0.838156:0.737529:0.821750:0.703402:0.821746:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.724884:0.832092:0.730120:0.832092:0.730120:0.822511:0.724884:0.822511:0.000000
= :@0.532509:0.865518:0.547438:0.865518:0.547438:0.849084:0.532509:0.849084:0.000000:0.000000
sec x:@0.547346:0.865518:0.581605:0.865519:0.581605:0.849113:0.547346:0.849112:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.568961:0.859455:0.574198:0.859455:0.574198:0.849874:0.568961:0.849874:0.000000
   2 + 2 + :@0.581531:0.865519:0.654074:0.865519:0.654074:0.849085:0.581531:0.849085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.585489:0.866102:0.594692:0.866102:0.594692:0.848447:0.585489:0.848447:0.000000
csc x:@0.653945:0.865519:0.688066:0.865519:0.688066:0.849113:0.653945:0.849113:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.675422:0.859455:0.680658:0.859455:0.680658:0.849874:0.675422:0.849874:0.000000
= :@0.531070:0.889303:0.545998:0.889303:0.545998:0.872869:0.531070:0.872869:0.000000:0.000000
sec x:@0.545906:0.889303:0.579893:0.889308:0.579893:0.872902:0.545906:0.872897:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.567518:0.883244:0.572476:0.883244:0.572476:0.873680:0.567518:0.873680:0.000000
 + :@0.579819:0.889308:0.598705:0.889308:0.598705:0.872874:0.579819:0.872874:0.000000:0.000000:0.000000
csc x:@0.598613:0.889308:0.632745:0.889308:0.632745:0.872902:0.598613:0.872902:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.620101:0.883244:0.625338:0.883244:0.625338:0.873663:0.620101:0.873663:0.000000
 L.Q.Q.D:@0.632672:0.889308:0.689537:0.889308:0.689537:0.872874:0.632672:0.872874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las identidades :@0.078581:0.256163:0.184824:0.256163:0.184824:0.241223:0.078581:0.241223:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemáticas, como las :@0.078581:0.271292:0.233071:0.271292:0.233071:0.256352:0.078581:0.256352:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trigonométricas, son :@0.078581:0.286421:0.217904:0.286421:0.217904:0.271481:0.078581:0.271481:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
muy útiles para crear :@0.078581:0.301550:0.219540:0.301550:0.219540:0.286610:0.078581:0.286610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diseños equilibrados :@0.078581:0.316679:0.218342:0.316679:0.218342:0.301739:0.078581:0.301739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y estéticamente :@0.078581:0.331808:0.187572:0.331808:0.187572:0.316868:0.078581:0.316868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
agradables, por ejemplo, :@0.078581:0.346937:0.244578:0.346937:0.244578:0.331997:0.078581:0.331997:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la construcción de :@0.078581:0.362066:0.224216:0.362066:0.224216:0.347126:0.078581:0.347126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cúpulas, esas estructuras :@0.078581:0.377195:0.244567:0.377195:0.244567:0.362255:0.078581:0.362255:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
redondeadas que ves en :@0.078581:0.392324:0.244383:0.392324:0.244383:0.377384:0.078581:0.377384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
edificios importantes.:@0.078581:0.407453:0.220129:0.407453:0.220129:0.392513:0.078581:0.392513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Imagina que quieres :@0.078581:0.429730:0.217218:0.429730:0.217218:0.414790:0.078581:0.414790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
construir una cúpula :@0.078581:0.444859:0.218376:0.444859:0.218376:0.429919:0.078581:0.429919:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con forma de red, hecha :@0.078581:0.459988:0.243167:0.459988:0.243167:0.445048:0.078581:0.445048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de muchos triángulos :@0.078581:0.475117:0.226652:0.475117:0.226652:0.460177:0.078581:0.460177:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pequeños. Para que todo :@0.078581:0.490246:0.248093:0.490246:0.248093:0.475306:0.078581:0.475306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
encaje bien, necesitas :@0.078581:0.505375:0.226157:0.505375:0.226157:0.490435:0.078581:0.490435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calcular los lados y ángulos :@0.078581:0.520504:0.260829:0.520504:0.260829:0.505564:0.078581:0.505564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
exactos de los triángulos. :@0.078581:0.535633:0.247901:0.535633:0.247901:0.520693:0.078581:0.520693:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aquí es donde entra en :@0.078581:0.550762:0.236994:0.550762:0.236994:0.535822:0.078581:0.535822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
juego la ley de cosenos, :@0.078581:0.565890:0.238962:0.565890:0.238962:0.550951:0.078581:0.550951:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una fórmula que te :@0.078581:0.581019:0.208616:0.581019:0.208616:0.566080:0.078581:0.566080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determina estas medidas :@0.078581:0.596148:0.248048:0.596148:0.248048:0.581208:0.078581:0.581208:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con precisión. :@0.078581:0.611277:0.173957:0.611277:0.173957:0.596337:0.078581:0.596337:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad :@0.078581:0.191553:0.244955:0.191553:0.244955:0.174606:0.078581:0.174606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática, arte :@0.078581:0.208194:0.204347:0.208194:0.204347:0.191761:0.078581:0.191761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y arquitectura:@0.078581:0.224836:0.179083:0.224836:0.179083:0.208402:0.078581:0.208402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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