74:@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
Gráfica de  = :@0.293660:0.140040:0.395876:0.140040:0.395876:0.123606:0.293660:0.123606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y  tan x  arc tanx:@0.370290:0.140040:0.516091:0.140040:0.516091:0.123634:0.370290:0.123634:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.419711:0.134315:0.425077:0.134315:0.425077:0.124023:0.419711:0.124023:0.000000
1:@0.425023:0.133976:0.430260:0.133976:0.430260:0.124395:0.425023:0.124395:0.000000
  = :@0.430213:0.140040:0.459739:0.140040:0.459739:0.123606:0.430213:0.123606:0.000000:0.000000:0.000000:0.000000
y:@0.330865:0.163090:0.335878:0.163090:0.335878:0.152083:0.330865:0.152083:0.000000
2:@0.301907:0.269192:0.307933:0.269192:0.307933:0.258166:0.301907:0.258166:0.000000
2:@0.380293:0.269192:0.386320:0.269192:0.386320:0.258166:0.380293:0.258166:0.000000
1:@0.328054:0.228262:0.334080:0.228262:0.334080:0.217236:0.328054:0.217236:0.000000
0:@0.347109:0.253691:0.353136:0.253691:0.353136:0.242665:0.347109:0.242665:0.000000
p:@0.299835:0.258169:0.309903:0.258169:0.309903:0.246922:0.299835:0.246922:0.000000
p:@0.378219:0.258169:0.388286:0.258169:0.388286:0.246922:0.378219:0.246922:0.000000
y:@0.586637:0.163266:0.591865:0.163266:0.591865:0.151789:0.586637:0.151789:0.000000
2:@0.583628:0.281980:0.589912:0.281980:0.589912:0.270484:0.583628:0.270484:0.000000
2:@0.581270:0.223183:0.587554:0.223183:0.587554:0.211687:0.581270:0.211687:0.000000
1:@0.575836:0.235533:0.582120:0.235533:0.582120:0.224037:0.575836:0.224037:0.000000
1:@0.620905:0.258166:0.627189:0.258166:0.627189:0.246670:0.620905:0.246670:0.000000
x:@0.712471:0.257090:0.717686:0.257090:0.717686:0.245613:0.712471:0.245613:0.000000
0:@0.603573:0.256110:0.609856:0.256110:0.609856:0.244614:0.603573:0.244614:0.000000
p:@0.579485:0.210406:0.589982:0.210406:0.589982:0.198679:0.579485:0.198679:0.000000
p:@0.581090:0.269858:0.591587:0.269858:0.591587:0.258131:0.581090:0.258131:0.000000
y = :@0.293660:0.351568:0.320572:0.351568:0.320572:0.335134:0.293660:0.335134:0.000000:0.000000:0.000000:0.000000
tanx:@0.320461:0.351568:0.351827:0.351568:0.351827:0.335161:0.320461:0.335161:0.000000:0.000000:0.000000:0.000000
 :@0.351790:0.351568:0.355821:0.351568:0.355821:0.335134:0.351790:0.335134:0.000000
y = :@0.504515:0.351568:0.531427:0.351568:0.531427:0.335134:0.504515:0.335134:0.000000:0.000000:0.000000:0.000000
tan x:@0.531316:0.351568:0.573204:0.351568:0.573204:0.335161:0.531316:0.335161:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.555249:0.345843:0.560615:0.345843:0.560615:0.335551:0.555249:0.335551:0.000000
1:@0.560561:0.345504:0.565798:0.345504:0.565798:0.335923:0.560561:0.335923:0.000000
Dominio = :@0.293653:0.374450:0.376258:0.374450:0.376258:0.358016:0.293653:0.358016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dominio=  :@0.504500:0.374446:0.587252:0.374446:0.587252:0.358013:0.504500:0.358013:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Imagen= :@0.293660:0.407154:0.364539:0.407154:0.364539:0.390720:0.293660:0.390720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.364418:0.408936:0.378812:0.408936:0.378812:0.393668:0.364418:0.393668:0.000000
Imagen= :@0.504504:0.407154:0.575343:0.407154:0.575343:0.390720:0.504504:0.390720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Fuente: imagenes tomadas del :@0.293660:0.427370:0.520528:0.427370:0.520528:0.410936:0.293660:0.410936:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Precálculo:@0.520267:0.427370:0.591396:0.427370:0.591396:0.410964:0.520267:0.410964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de James Stewart:@0.591374:0.427370:0.723196:0.427370:0.723196:0.410936:0.591374:0.410936:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Observemos::@0.293655:0.454732:0.389249:0.454732:0.389249:0.438298:0.293655:0.438298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a. :@0.325203:0.479833:0.336966:0.479833:0.336966:0.463399:0.325203:0.463399:0.000000:0.000000:0.000000
 :@0.357245:0.479833:0.361277:0.479833:0.361277:0.463399:0.357245:0.463399:0.000000
arctan:@0.357625:0.479833:0.403448:0.479833:0.403448:0.463427:0.357625:0.463427:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  3  =  :@0.403404:0.479833:0.456688:0.479833:0.456688:0.463399:0.403404:0.463399:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.461668:0.470233:0.473946:0.470233:0.473946:0.456517:0.461668:0.456517:0.000000
3 :@0.463325:0.484919:0.476339:0.484919:0.476339:0.468485:0.463325:0.468485:0.000000:0.000000
 porque :@0.483702:0.479829:0.545103:0.479829:0.545103:0.463396:0.483702:0.463396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tan:@0.544979:0.479829:0.568964:0.479829:0.568964:0.463423:0.544979:0.463423:0.000000:0.000000:0.000000
 :@0.568909:0.479829:0.572940:0.479829:0.572940:0.463396:0.568909:0.463396:0.000000
p:@0.577933:0.470233:0.590211:0.470233:0.590211:0.456517:0.577933:0.456517:0.000000
3 :@0.579590:0.484919:0.592604:0.484919:0.592604:0.468485:0.579590:0.468485:0.000000:0.000000
=  3:@0.599967:0.479829:0.636112:0.481837:0.636112:0.465403:0.599967:0.463396:0.000000:0.000000:0.000000:0.000000
b. cos  0 = :@0.325203:0.510474:0.422287:0.510474:0.422287:0.494041:0.325203:0.494041:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.380032:0.504750:0.385398:0.504750:0.385398:0.494458:0.380032:0.494458:0.000000
1:@0.385344:0.504410:0.390581:0.504410:0.390581:0.494830:0.385344:0.494830:0.000000
p:@0.427260:0.499980:0.439538:0.499980:0.439538:0.486264:0.427260:0.486264:0.000000
2 :@0.428917:0.514666:0.441931:0.514666:0.441931:0.498233:0.428917:0.498233:0.000000:0.000000
 porque :@0.449293:0.510478:0.510695:0.510478:0.510695:0.494044:0.449293:0.494044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cos:@0.510571:0.510478:0.533496:0.510478:0.533496:0.494072:0.510571:0.494072:0.000000:0.000000:0.000000
 :@0.533433:0.510478:0.537464:0.510478:0.537464:0.494044:0.533433:0.494044:0.000000
p:@0.542456:0.501766:0.554734:0.501766:0.554734:0.488051:0.542456:0.488051:0.000000
2 :@0.544113:0.516453:0.557126:0.516453:0.557126:0.500019:0.544113:0.500019:0.000000:0.000000
 =0:@0.564489:0.510476:0.588327:0.510476:0.588327:0.494042:0.564489:0.494042:0.000000:0.000000:0.000000
c.:@0.325203:0.545724:0.336340:0.545724:0.336340:0.529290:0.325203:0.529290:0.000000:0.000000
sen:@0.355405:0.545724:0.380917:0.545724:0.380917:0.529290:0.355405:0.529290:0.000000:0.000000:0.000000
–:@0.380823:0.539999:0.386189:0.539999:0.386189:0.529707:0.380823:0.529707:0.000000
1:@0.386135:0.539660:0.391373:0.539660:0.391373:0.530079:0.386135:0.530079:0.000000
3:@0.409499:0.536693:0.418481:0.536693:0.418481:0.520259:0.409499:0.520259:0.000000
2 :@0.405956:0.553291:0.418970:0.553291:0.418970:0.536857:0.405956:0.536857:0.000000:0.000000
= :@0.425946:0.545719:0.440875:0.545719:0.440875:0.529285:0.425946:0.529285:0.000000:0.000000
p:@0.445863:0.537017:0.458141:0.537017:0.458141:0.523301:0.445863:0.523301:0.000000
3 :@0.447520:0.551703:0.460534:0.551703:0.460534:0.535269:0.447520:0.535269:0.000000:0.000000
 porque :@0.467896:0.545726:0.529298:0.545726:0.529298:0.529292:0.467896:0.529292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen:@0.529174:0.545726:0.552680:0.545726:0.552680:0.529320:0.529174:0.529320:0.000000:0.000000:0.000000
 :@0.552625:0.545726:0.556656:0.545726:0.556656:0.529292:0.552625:0.529292:0.000000
p:@0.561648:0.537017:0.573926:0.537017:0.573926:0.523301:0.561648:0.523301:0.000000
3 :@0.563305:0.551703:0.576319:0.551703:0.576319:0.535269:0.563305:0.535269:0.000000:0.000000
=:@0.583681:0.545726:0.594652:0.545726:0.594652:0.529292:0.583681:0.529292:0.000000
3:@0.608784:0.535800:0.617767:0.535800:0.617767:0.519366:0.608784:0.519366:0.000000
2 :@0.605241:0.552397:0.618255:0.552397:0.618255:0.535963:0.605241:0.535963:0.000000:0.000000
Con el uso de una calculadora, se pueden determinar valores como los indicados en 4 y :@0.293662:0.580230:0.931418:0.580230:0.931418:0.563796:0.293662:0.563796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5, teniendo en cuenta la programación en radianes y buscando la función trigonométrica :@0.293662:0.596872:0.931418:0.596872:0.931418:0.580438:0.293662:0.580438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
correspondiente::@0.293662:0.613514:0.417303:0.613514:0.417303:0.597080:0.293662:0.597080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d.  arctan:@0.325203:0.633734:0.401214:0.633734:0.401214:0.617328:0.325203:0.617328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  3 = 1.047:@0.401170:0.633734:0.485305:0.633734:0.485305:0.617300:0.401170:0.617300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e.  arc cos:@0.325203:0.653950:0.403394:0.653950:0.403394:0.637544:0.325203:0.637544:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ( 0,8) = 2,498:@0.403361:0.653950:0.504619:0.653950:0.504619:0.637516:0.403361:0.637516:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.412104:0.654532:0.421308:0.654532:0.421308:0.636878:0.412104:0.636878:0.000000
2.2 Ecuaciones trigonométricas:@0.293653:0.688454:0.539462:0.688454:0.539462:0.671507:0.293653:0.671507:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una ecuación trigonométrica es aquella igualdad en la que intervienen funciones :@0.293653:0.715816:0.930911:0.715816:0.930911:0.699382:0.293653:0.699382:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trigonométricas, siendo los arcos de la circunferencia o los ángulos asociados, las :@0.293653:0.732458:0.930574:0.732458:0.930574:0.716024:0.293653:0.716024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
incógnitas que se deben determinar, de tal manera que satisfagan la igualdad dada y :@0.293653:0.749099:0.931452:0.749099:0.931452:0.732666:0.293653:0.732666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
considerando siempre las restricciones.:@0.293653:0.765741:0.576893:0.765741:0.576893:0.749307:0.293653:0.749307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.3 Solución de ecuaciones trigonométricas:@0.293653:0.793103:0.635622:0.793103:0.635622:0.776156:0.293653:0.776156:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resolver una ecuación trigonométrica es encontrar el valor o los valores de los arcos o :@0.293653:0.820465:0.930370:0.820465:0.930370:0.804031:0.293653:0.804031:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ángulos que satisfagan la ecuación, haciendo uso, en ocasiones, de las identidades :@0.293653:0.837107:0.930984:0.837107:0.930984:0.820673:0.293653:0.820673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trigonométricas.:@0.293653:0.853749:0.412616:0.853749:0.412616:0.837315:0.293653:0.837315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 1:@0.293653:0.881111:0.369436:0.881111:0.369436:0.864441:0.293653:0.864441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resuelve la ecuación trigonométrica 2:@0.293653:0.908473:0.570451:0.908473:0.570451:0.892039:0.293653:0.892039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cosx:@0.570149:0.908473:0.600517:0.908473:0.600517:0.892067:0.570149:0.892067:0.000000:0.000000:0.000000:0.000000
 + 1 = 0:@0.600466:0.908473:0.655982:0.908473:0.655982:0.892039:0.600466:0.892039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En este caso, empezamos despejando :@0.293672:0.933574:0.573613:0.933574:0.573613:0.917140:0.293672:0.917140:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cosx:@0.573315:0.933574:0.603683:0.933574:0.603683:0.917168:0.573315:0.917168:0.000000:0.000000:0.000000:0.000000
 =   :@0.603632:0.933574:0.641698:0.933574:0.641698:0.917140:0.603632:0.917140:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.622425:0.933019:0.637759:0.933019:0.637759:0.919304:0.622425:0.919304:0.000000
1:@0.648319:0.926842:0.657302:0.926842:0.657302:0.910409:0.648319:0.910409:0.000000
2 :@0.648319:0.940974:0.661333:0.940974:0.661333:0.924540:0.648319:0.924540:0.000000:0.000000
, entonces::@0.663947:0.933582:0.741674:0.933582:0.741674:0.917149:0.663947:0.917149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las ondas de sonido se :@0.078581:0.209232:0.234842:0.209232:0.234842:0.194292:0.078581:0.194292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
modelan con ecuaciones :@0.078581:0.224361:0.248697:0.224361:0.248697:0.209421:0.078581:0.209421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trigonométricas porque :@0.078581:0.239490:0.239892:0.239490:0.239892:0.224550:0.078581:0.224550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son periódicas. Estas :@0.078581:0.254619:0.216823:0.254619:0.216823:0.239679:0.078581:0.239679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones describen::@0.078581:0.269748:0.224862:0.269748:0.224862:0.254808:0.078581:0.254808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Frecuencia: Relacionada :@0.078581:0.292025:0.240344:0.292025:0.240344:0.277085:0.078581:0.277085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con el tono (agudo o :@0.078581:0.307154:0.221398:0.307154:0.221398:0.292214:0.078581:0.292214:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
grave):@0.078581:0.322283:0.119627:0.322283:0.119627:0.307343:0.078581:0.307343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Amplitud: Determina la :@0.078581:0.344560:0.236194:0.344560:0.236194:0.329621:0.078581:0.329621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
intensidad (volumen) del :@0.078581:0.359689:0.247395:0.359689:0.247395:0.344749:0.078581:0.344749:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sonido:@0.078581:0.374818:0.123863:0.374818:0.123863:0.359878:0.078581:0.359878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Superposición: Explica :@0.078581:0.397096:0.229497:0.397096:0.229497:0.382156:0.078581:0.382156:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cómo se combinan varias :@0.078581:0.412225:0.250982:0.412225:0.250982:0.397285:0.078581:0.397285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ondas:@0.078581:0.427353:0.119127:0.427353:0.119127:0.412414:0.078581:0.412414:0.000000:0.000000:0.000000:0.000000:0.000000
Efecto Doppler: Describe :@0.078581:0.449631:0.246485:0.449631:0.246485:0.434691:0.078581:0.434691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el cambio en el sonido :@0.078581:0.464760:0.231930:0.464760:0.231930:0.449820:0.078581:0.449820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuando la fuente o el :@0.078581:0.479889:0.221732:0.479889:0.221732:0.464949:0.078581:0.464949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
oyente se mueven:@0.078581:0.495018:0.200865:0.495018:0.200865:0.480078:0.078581:0.480078:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En resumen, las ecuaciones :@0.078581:0.628682:0.262663:0.628682:0.262663:0.613742:0.078581:0.613742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trigonométricas nos :@0.078581:0.643811:0.215250:0.643811:0.215250:0.628871:0.078581:0.628871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ayudan a entender :@0.078581:0.658940:0.206898:0.658940:0.206898:0.644000:0.078581:0.644000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y predecir el :@0.078581:0.674069:0.163015:0.674069:0.163015:0.659129:0.078581:0.659129:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comportamiento del :@0.078581:0.689198:0.220136:0.689198:0.220136:0.674258:0.078581:0.674258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sonido en situaciones :@0.078581:0.704327:0.225521:0.704327:0.225521:0.689387:0.078581:0.689387:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cotidianas.:@0.078581:0.719455:0.148672:0.719455:0.148672:0.704516:0.078581:0.704516:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad :@0.078581:0.144620:0.244955:0.144620:0.244955:0.127673:0.078581:0.127673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática  :@0.078581:0.161262:0.172624:0.161262:0.172624:0.144828:0.078581:0.144828:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y física:@0.078581:0.177904:0.126145:0.177904:0.126145:0.161470:0.078581:0.161470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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