﻿111:@0.890754:0.963104:0.932133:0.963104:0.932133:0.941283:0.890754:0.941283:0.000000:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.º BG:@0.837761:0.967458:0.879897:0.967458:0.879897:0.954794:0.837761:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 1.:@0.102121:0.577265:0.154372:0.577265:0.154372:0.561687:0.102121:0.561687:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 En la función  ( ) = 3 :@0.154372:0.577265:0.301374:0.577265:0.301374:0.562366:0.154372:0.562366:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d x:@0.248118:0.577265:0.267769:0.577265:0.267769:0.562391:0.248118:0.562391:0.000000:0.000000:0.000000
⋅ :@0.301374:0.577793:0.311141:0.577793:0.311141:0.561787:0.301374:0.561787:0.000000:0.000000
tan x:@0.311141:0.577265:0.344327:0.577265:0.344327:0.562391:0.311141:0.562391:0.000000:0.000000:0.000000:0.000000:0.000000
( ) hacemos  (π/6).:@0.333103:0.577265:0.460271:0.577265:0.460271:0.562366:0.333103:0.562366:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.417167:0.577265:0.425593:0.577265:0.425593:0.562391:0.417167:0.562391:0.000000
d:@0.102121:0.599481:0.110548:0.599481:0.110548:0.584607:0.102121:0.584607:0.000000
(π/6) = 3 :@0.110548:0.599481:0.171476:0.599481:0.171476:0.584582:0.110548:0.584582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⋅ :@0.171476:0.600009:0.181243:0.600009:0.181243:0.584004:0.171476:0.584004:0.000000:0.000000
tan:@0.181243:0.599481:0.203205:0.599481:0.203205:0.584607:0.181243:0.584607:0.000000:0.000000:0.000000
(π/6):@0.203205:0.599481:0.234968:0.599481:0.234968:0.584582:0.203205:0.584582:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 2.:@0.472450:0.574360:0.524700:0.574360:0.524700:0.558782:0.472450:0.558782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Efectuamos la operación.:@0.524700:0.574360:0.695825:0.574360:0.695825:0.559461:0.524700:0.559461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.472450:0.596577:0.480876:0.596577:0.480876:0.581703:0.472450:0.581703:0.000000
(π/6) = 1,73 m.:@0.480876:0.596577:0.577705:0.596577:0.577705:0.581678:0.480876:0.581678:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 1.:@0.102121:0.650396:0.154372:0.650396:0.154372:0.634818:0.102121:0.634818:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 En la función dada, reemplazamos el :@0.154372:0.650396:0.405522:0.650396:0.405522:0.635496:0.154372:0.635496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
valor   = 3.:@0.102121:0.665483:0.175212:0.665483:0.175212:0.650584:0.102121:0.650584:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.138373:0.665483:0.146800:0.665483:0.146800:0.650609:0.138373:0.650609:0.000000
3 = 3 :@0.102121:0.687700:0.139462:0.687700:0.139462:0.672801:0.102121:0.672801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⋅ :@0.139462:0.688228:0.149229:0.688228:0.149229:0.672222:0.139462:0.672222:0.000000:0.000000
tan x:@0.149229:0.687700:0.182416:0.687700:0.182416:0.672826:0.149229:0.672826:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.171191:0.687700:0.186855:0.687700:0.186855:0.672801:0.171191:0.672801:0.000000:0.000000:0.000000
Paso 2.:@0.420216:0.650396:0.472467:0.650396:0.472467:0.634818:0.420216:0.634818:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Despejamos :@0.472467:0.650396:0.562561:0.650396:0.562561:0.635496:0.472467:0.635496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tan x:@0.562561:0.650396:0.595747:0.650396:0.595747:0.635522:0.562561:0.635522:0.000000:0.000000:0.000000:0.000000:0.000000
( ) y aplicamos la :@0.584523:0.650396:0.701254:0.650396:0.701254:0.635496:0.584523:0.635496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función inversa.:@0.420216:0.665483:0.524617:0.665483:0.524617:0.650584:0.420216:0.650584:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tanx:@0.422200:0.695462:0.455867:0.695462:0.455867:0.680737:0.422200:0.680737:0.000000:0.000000:0.000000:0.000000
tanx:@0.496964:0.695462:0.530632:0.695462:0.530632:0.680737:0.496964:0.680737:0.000000:0.000000:0.000000:0.000000
xtan:@0.578131:0.695462:0.622313:0.695462:0.622313:0.680737:0.578131:0.680737:0.000000:0.000000:0.000000:0.000000
x:@0.645797:0.695462:0.652514:0.695462:0.652514:0.680737:0.645797:0.680737:0.000000
():@0.443146:0.695462:0.461871:0.695462:0.461871:0.680712:0.443146:0.680712:0.000000:0.000000
;:@0.488191:0.695462:0.491077:0.695462:0.491077:0.680712:0.488191:0.680712:0.000000
( ) 1:@0.517928:0.695462:0.558111:0.695464:0.558111:0.680714:0.517928:0.680712:0.000000:0.000000:0.000000:0.000000:0.000000
; 1:@0.637046:0.695462:0.639676:0.695464:0.639676:0.680714:0.637046:0.680712:0.000000:0.000000:0.000000
=:@0.464558:0.696072:0.473663:0.696072:0.473663:0.682056:0.464558:0.682056:0.000000
= ⇒=:@0.539339:0.696072:0.598249:0.696072:0.598249:0.682056:0.539339:0.682056:0.000000:0.000000:0.000000:0.000000
=:@0.656792:0.696072:0.665897:0.696072:0.665897:0.682056:0.656792:0.682056:0.000000
°:@0.685069:0.696072:0.691703:0.696072:0.691703:0.682056:0.685069:0.682056:0.000000
−:@0.622445:0.688921:0.627721:0.688921:0.627721:0.680798:0.622445:0.680798:0.000000
3:@0.477608:0.687578:0.485702:0.687578:0.485702:0.672828:0.477608:0.672828:0.000000
3:@0.477608:0.705223:0.485702:0.705223:0.485702:0.690473:0.477608:0.690473:0.000000
45:@0.669041:0.695462:0.685145:0.695462:0.685145:0.680712:0.669041:0.680712:0.000000:0.000000
1:@0.627673:0.688568:0.632363:0.688568:0.632363:0.680019:0.627673:0.680019:0.000000
cción y expresión:@0.117728:0.452313:0.242599:0.452313:0.242599:0.436949:0.117728:0.436949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.096132:0.453099:0.108221:0.453099:0.108221:0.435963:0.096132:0.435963:0.000000
Ejemplos paso a paso:@0.096359:0.478412:0.251252:0.478412:0.251252:0.463048:0.096359:0.463048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.096359:0.506015:0.110585:0.506015:0.110585:0.489114:0.096359:0.489114:0.000000:0.000000
  Respondamos las preguntas del problema inicial.:@0.110585:0.506015:0.483831:0.506015:0.483831:0.489626:0.110585:0.489626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.124848:0.533302:0.139756:0.533302:0.139756:0.516401:0.124848:0.516401:0.000000:0.000000
  ¿Cuál es la distancia horizontal cuando el columpio forma un ángulo de π/6 :@0.139756:0.533302:0.716506:0.533302:0.716506:0.516913:0.139756:0.516913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
radianes con la vertical?:@0.153337:0.549898:0.327458:0.549898:0.327458:0.533509:0.153337:0.533509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.:@0.096359:0.733786:0.110585:0.733786:0.110585:0.716885:0.096359:0.716885:0.000000:0.000000
  Se tiene la función  ( ) = :@0.110585:0.733786:0.305365:0.733786:0.305365:0.717397:0.110585:0.717397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.264382:0.733786:0.281428:0.733786:0.281428:0.717425:0.264382:0.717425:0.000000:0.000000:0.000000
tan x:@0.305365:0.733786:0.350863:0.733786:0.350863:0.717425:0.305365:0.717425:0.000000:0.000000:0.000000:0.000000:0.000000
(4 ). :@0.329524:0.733786:0.362988:0.733786:0.362988:0.717397:0.329524:0.717397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.124848:0.761073:0.139756:0.761073:0.139756:0.744173:0.124848:0.744173:0.000000:0.000000
  Hallamos el dominio de la función.:@0.139756:0.761073:0.407270:0.761073:0.407270:0.744684:0.139756:0.744684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.124848:0.807045:0.128884:0.807045:0.128884:0.790656:0.124848:0.790656:0.000000
Domtan x:@0.153344:0.790645:0.246201:0.790645:0.246201:0.775252:0.153344:0.775252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.357946:0.790645:0.365520:0.790645:0.365520:0.775252:0.357946:0.775252:0.000000
k:@0.388720:0.790645:0.396294:0.790645:0.396294:0.775252:0.388720:0.775252:0.000000
(4:@0.222558:0.790645:0.237356:0.790645:0.237356:0.774975:0.222558:0.774975:0.000000:0.000000
):@0.248007:0.790645:0.252890:0.790645:0.252890:0.774975:0.248007:0.774975:0.000000
,:@0.383855:0.790645:0.387062:0.790645:0.387062:0.774975:0.383855:0.774975:0.000000
(:@0.189884:0.793366:0.132353:0.793366:0.132353:0.773464:0.189884:0.773464:0.000000
):@0.253552:0.793366:0.196021:0.793366:0.196021:0.773464:0.253552:0.773464:0.000000
=:@0.262863:0.791323:0.272979:0.791323:0.272979:0.775750:0.262863:0.775750:0.000000
⋅:@0.325259:0.802166:0.329866:0.802166:0.329866:0.786593:0.325259:0.786593:0.000000
+ ⎨:@0.345197:0.791323:0.313465:0.793673:0.313465:0.778100:0.345197:0.775750:0.000000:0.000000:0.000000
∈:@0.398859:0.791323:0.355314:0.791323:0.355314:0.775750:0.398859:0.775750:0.000000
⎧:@0.304362:0.783811:0.313465:0.783811:0.313465:0.768239:0.304362:0.768239:0.000000
⎩:@0.304362:0.803589:0.313465:0.803589:0.313465:0.788016:0.304362:0.788016:0.000000
⎫:@0.426648:0.783811:0.435751:0.783811:0.435751:0.768239:0.426648:0.768239:0.000000
⎬:@0.426648:0.793673:0.435751:0.793673:0.435751:0.778100:0.426648:0.778100:0.000000
⎭:@0.426648:0.803589:0.435751:0.803589:0.435751:0.788016:0.426648:0.788016:0.000000
 \:@0.290871:0.790645:0.301320:0.790645:0.301320:0.774975:0.290871:0.774975:0.000000:0.000000
24:@0.314901:0.801488:0.340902:0.801488:0.340902:0.785818:0.314901:0.785818:0.000000:0.000000
4:@0.370921:0.801488:0.379913:0.801488:0.379913:0.785818:0.370921:0.785818:0.000000
:@0.413323:0.793812:0.425614:0.793812:0.425614:0.773094:0.413323:0.773094:0.000000
π:@0.323119:0.783134:0.332831:0.783134:0.332831:0.767464:0.323119:0.767464:0.000000
π:@0.370571:0.783134:0.380282:0.783134:0.380282:0.767464:0.370571:0.767464:0.000000
b):@0.124851:0.830769:0.141068:0.830769:0.141068:0.813869:0.124851:0.813869:0.000000:0.000000
  Determinamos la frecuencia y el período.:@0.141068:0.830769:0.446854:0.830769:0.446854:0.814380:0.141068:0.814380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.124851:0.874279:0.128887:0.874279:0.128887:0.857890:0.124851:0.857890:0.000000
f:@0.153344:0.859973:0.158043:0.859973:0.158043:0.844579:0.153344:0.844579:0.000000
B:@0.177429:0.859973:0.186274:0.859973:0.186274:0.844579:0.177429:0.844579:0.000000
T:@0.222761:0.859973:0.230887:0.859973:0.230887:0.844579:0.222761:0.844579:0.000000
B:@0.256483:0.870815:0.265329:0.870815:0.265329:0.855422:0.256483:0.855422:0.000000
T:@0.284235:0.859973:0.292362:0.859973:0.292362:0.844579:0.284235:0.844579:0.000000
==:@0.164400:0.860650:0.200334:0.860650:0.200334:0.845077:0.164400:0.845077:0.000000:0.000000
=:@0.236692:0.860650:0.185353:0.860650:0.185353:0.845077:0.236692:0.845077:0.000000
=:@0.298148:0.860650:0.246809:0.860650:0.246809:0.845077:0.298148:0.845077:0.000000
4;:@0.203817:0.859973:0.216237:0.859973:0.216237:0.844303:0.203817:0.844303:0.000000:0.000000
4:@0.313812:0.870815:0.322804:0.870815:0.322804:0.855146:0.313812:0.855146:0.000000
||:@0.250623:0.870815:0.272018:0.870815:0.272018:0.855146:0.250623:0.855146:0.000000:0.000000
;:@0.274487:0.859973:0.277694:0.859973:0.277694:0.844303:0.274487:0.844303:0.000000
π:@0.313978:0.852241:0.323689:0.852241:0.323689:0.836572:0.313978:0.836572:0.000000
π:@0.257515:0.852241:0.267227:0.852241:0.267227:0.836572:0.257515:0.836572:0.000000
c):@0.124851:0.897998:0.138672:0.897998:0.138672:0.881098:0.124851:0.881098:0.000000:0.000000
  Graficamos la función.:@0.138672:0.897998:0.315706:0.897998:0.315706:0.881609:0.138672:0.881609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.124851:0.626288:0.141068:0.626288:0.141068:0.609387:0.124851:0.609387:0.000000:0.000000
  ¿Qué valor tiene   cuando el columpio está a 3 metros de distancia horizontal?:@0.141068:0.626288:0.712453:0.626288:0.712453:0.609899:0.141068:0.609899:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.273231:0.626288:0.280694:0.626288:0.280694:0.609927:0.273231:0.609927:0.000000
Característica:@0.150245:0.126662:0.248414:0.126662:0.248414:0.111298:0.150245:0.111298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.372080:0.126662:0.379987:0.126662:0.379987:0.112429:0.372080:0.112429:0.000000
 = :@0.379987:0.126662:0.396907:0.126662:0.396907:0.111298:0.379987:0.111298:0.000000:0.000000:0.000000
sec x:@0.396907:0.126662:0.431735:0.126662:0.431735:0.112429:0.396907:0.112429:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.418786:0.126662:0.436778:0.126662:0.436778:0.111298:0.418786:0.111298:0.000000:0.000000:0.000000
y:@0.577364:0.126662:0.585271:0.126662:0.585271:0.112429:0.577364:0.112429:0.000000
 = :@0.585271:0.126662:0.602191:0.126662:0.602191:0.111298:0.585271:0.111298:0.000000:0.000000:0.000000
csc:@0.602191:0.126662:0.623331:0.126662:0.623331:0.112429:0.602191:0.112429:0.000000:0.000000:0.000000
(x):@0.623331:0.126662:0.641691:0.126662:0.641691:0.111298:0.623331:0.111298:0.000000:0.000000:0.000000
Dominio:@0.101512:0.157315:0.159978:0.157315:0.159978:0.142416:0.101512:0.142416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
π:@0.374319:0.148670:0.383424:0.148670:0.387533:0.134654:0.378428:0.134654:0.000000
π:@0.406070:0.156337:0.415175:0.156337:0.419284:0.142322:0.410179:0.142322:0.000000
+:@0.389677:0.156388:0.398782:0.156388:0.398782:0.142373:0.389677:0.142373:0.000000
∈ ⎬:@0.432814:0.156388:0.467195:0.156637:0.467195:0.142622:0.432814:0.142373:0.000000:0.000000:0.000000
⎧:@0.365480:0.147725:0.373672:0.147725:0.373672:0.133710:0.365480:0.133710:0.000000
⎨:@0.365480:0.156637:0.373672:0.156637:0.373672:0.142622:0.365480:0.142622:0.000000
⎩:@0.365480:0.165861:0.373672:0.165861:0.373672:0.151845:0.365480:0.151845:0.000000
⎫:@0.459002:0.147725:0.467195:0.147725:0.467195:0.133709:0.459002:0.133709:0.000000
⎭:@0.459002:0.165861:0.467195:0.165861:0.467195:0.151845:0.459002:0.151845:0.000000
k k:@0.400390:0.156027:0.428733:0.156027:0.428733:0.142173:0.400390:0.142173:0.000000:0.000000:0.000000
:@0.341629:0.156563:0.353603:0.156563:0.353603:0.141489:0.341629:0.141489:0.000000
:@0.447640:0.156563:0.458702:0.156563:0.458702:0.141489:0.447640:0.141489:0.000000
\:@0.356904:0.155567:0.362676:0.155567:0.362676:0.141464:0.356904:0.141464:0.000000
2:@0.376906:0.165599:0.385000:0.165599:0.385000:0.151496:0.376906:0.151496:0.000000
π:@0.597689:0.156564:0.606794:0.156564:0.610903:0.142549:0.601798:0.142549:0.000000
{:@0.584358:0.159291:0.526726:0.159291:0.526726:0.140510:0.584358:0.140510:0.000000
}:@0.649951:0.159291:0.592319:0.159291:0.592319:0.140510:0.649951:0.140510:0.000000
∈:@0.624458:0.156608:0.636283:0.156608:0.636283:0.142593:0.624458:0.142593:0.000000
kk:@0.592234:0.155998:0.620577:0.155998:0.620577:0.142145:0.592234:0.142145:0.000000:0.000000
\:@0.576585:0.156001:0.582356:0.156001:0.582356:0.141898:0.576585:0.141898:0.000000
Recorrido:@0.101527:0.190094:0.166223:0.190094:0.166223:0.175195:0.101527:0.175195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
]:@0.355438:0.191482:0.316099:0.191482:0.316099:0.173822:0.355438:0.173822:0.000000
]:@0.400300:0.191482:0.360961:0.191482:0.360961:0.173822:0.400300:0.173822:0.000000
[:@0.421064:0.191482:0.400300:0.191482:0.400300:0.173822:0.421064:0.173822:0.000000
[:@0.447351:0.191482:0.426587:0.191482:0.426587:0.173822:0.447351:0.173822:0.000000
∞:@0.435347:0.189347:0.447172:0.189347:0.447172:0.175332:0.435347:0.175332:0.000000
:@0.408065:0.189521:0.419011:0.189521:0.419011:0.174448:0.408065:0.174448:0.000000
–,–1:@0.361561:0.188737:0.402592:0.188737:0.402592:0.173987:0.361561:0.173987:0.000000:0.000000:0.000000:0.000000
1,:@0.425827:0.188737:0.434501:0.188737:0.434501:0.173987:0.425827:0.173987:0.000000:0.000000
∞:@0.369820:0.189347:0.381645:0.189347:0.381645:0.175332:0.369820:0.175332:0.000000
]:@0.560779:0.191482:0.521440:0.191482:0.521440:0.173822:0.560779:0.173822:0.000000
]:@0.605641:0.191482:0.566302:0.191482:0.566302:0.173822:0.605641:0.173822:0.000000
[:@0.626405:0.191482:0.605641:0.191482:0.605641:0.173822:0.626405:0.173822:0.000000
[:@0.652692:0.191482:0.631928:0.191482:0.631928:0.173822:0.652692:0.173822:0.000000
∞:@0.640688:0.189347:0.652513:0.189347:0.652513:0.175332:0.640688:0.175332:0.000000
:@0.613406:0.189521:0.624352:0.189521:0.624352:0.174448:0.613406:0.174448:0.000000
–,–1:@0.566902:0.188737:0.607933:0.188737:0.607933:0.173987:0.566902:0.173987:0.000000:0.000000:0.000000:0.000000
1,:@0.631168:0.188737:0.639842:0.188737:0.639842:0.173987:0.631168:0.173987:0.000000:0.000000
∞:@0.575161:0.189347:0.586986:0.189347:0.586986:0.175332:0.575161:0.175332:0.000000
Periodo:@0.101527:0.211781:0.153124:0.211781:0.153124:0.196882:0.101527:0.196882:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2π:@0.395933:0.211781:0.412937:0.211781:0.412937:0.196882:0.395933:0.196882:0.000000:0.000000
π:@0.605121:0.211781:0.613949:0.211781:0.613949:0.196882:0.605121:0.196882:0.000000
Paridad:@0.101527:0.229547:0.151432:0.229547:0.151432:0.214648:0.101527:0.214648:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
par:@0.393538:0.229547:0.415333:0.229547:0.415333:0.214648:0.393538:0.214648:0.000000:0.000000:0.000000
impar:@0.590027:0.229547:0.629043:0.229547:0.629043:0.214648:0.590027:0.214648:0.000000:0.000000:0.000000:0.000000:0.000000
Gráfica de la función secante:@0.147169:0.257705:0.354041:0.257705:0.354041:0.242341:0.147169:0.242341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Gráfica de la función cosecante:@0.446417:0.257705:0.670108:0.257705:0.670108:0.242341:0.446417:0.242341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–2π 3π:@0.155783:0.360171:0.189057:0.360459:0.189057:0.351520:0.155783:0.351232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–π π 0:@0.195225:0.360171:0.231826:0.359314:0.231826:0.350375:0.195225:0.351232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
π 3π:@0.264288:0.360171:0.288733:0.360171:0.288733:0.351232:0.264288:0.351232:0.000000:0.000000:0.000000:0.000000
2π 5π:@0.295267:0.360171:0.322183:0.360171:0.322183:0.351232:0.295267:0.351232:0.000000:0.000000:0.000000:0.000000:0.000000
3π:@0.328698:0.360171:0.338900:0.360171:0.338900:0.351232:0.328698:0.351232:0.000000:0.000000
2:@0.181508:0.370100:0.186413:0.370100:0.186413:0.361161:0.181508:0.361161:0.000000
–:@0.173316:0.363613:0.178342:0.363613:0.178342:0.354673:0.173316:0.354673:0.000000
2:@0.215221:0.369812:0.220126:0.369812:0.220126:0.360873:0.215221:0.360873:0.000000
–:@0.209401:0.363325:0.214426:0.363325:0.214426:0.354385:0.209401:0.354385:0.000000
x:@0.343236:0.361245:0.347307:0.361245:0.347307:0.352321:0.343236:0.352321:0.000000
1 2 3 4 5 6:@0.240952:0.350359:0.299287:0.350365:0.299287:0.341425:0.240952:0.341420:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.233826:0.347553:0.238731:0.347553:0.238731:0.338614:0.233826:0.338614:0.000000
–1:@0.218769:0.350359:0.228700:0.350359:0.228700:0.341420:0.218769:0.341420:0.000000:0.000000
–1:@0.224151:0.368783:0.231991:0.368783:0.231991:0.361610:0.224151:0.361610:0.000000:0.000000
–2:@0.206322:0.350365:0.216253:0.350365:0.216253:0.341425:0.206322:0.341425:0.000000:0.000000
–3:@0.196270:0.350365:0.206201:0.350365:0.206201:0.341425:0.196270:0.341425:0.000000:0.000000
–4:@0.185857:0.350365:0.195788:0.350365:0.195788:0.341425:0.185857:0.341425:0.000000:0.000000
–5:@0.173946:0.350365:0.183877:0.350365:0.183877:0.341425:0.173946:0.341425:0.000000:0.000000
y:@0.225058:0.281301:0.229138:0.281301:0.229138:0.272377:0.225058:0.272377:0.000000
y:@0.264545:0.273409:0.268626:0.273409:0.268626:0.264485:0.264545:0.264485:0.000000
 = :@0.268626:0.273409:0.279019:0.273409:0.279019:0.264469:0.268626:0.264469:0.000000:0.000000:0.000000
sec x               .:@0.279019:0.273409:0.331658:0.273409:0.331658:0.264485:0.279019:0.264485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) =:@0.290930:0.273409:0.308128:0.273409:0.308128:0.264469:0.290930:0.264469:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.316792:0.269230:0.321697:0.269230:0.321697:0.260290:0.316792:0.260290:0.000000
cos x:@0.308248:0.278871:0.327577:0.278871:0.327577:0.269946:0.308248:0.269946:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.320843:0.278871:0.330241:0.278871:0.330241:0.269931:0.320843:0.269931:0.000000:0.000000:0.000000
π:@0.247564:0.360171:0.252862:0.360171:0.252862:0.351232:0.247564:0.351232:0.000000
2:@0.247765:0.369812:0.252671:0.369812:0.252671:0.360873:0.247765:0.360873:0.000000
2:@0.281185:0.369812:0.286090:0.369812:0.286090:0.360873:0.281185:0.360873:0.000000
2:@0.314634:0.369812:0.319539:0.369812:0.319539:0.360873:0.314634:0.360873:0.000000
–2π 2π:@0.456083:0.356554:0.488690:0.356554:0.488690:0.347615:0.456083:0.347615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–π:@0.494349:0.356554:0.504672:0.356554:0.504672:0.347615:0.494349:0.347615:0.000000:0.000000
2:@0.481141:0.366195:0.486047:0.366195:0.486047:0.357256:0.481141:0.357256:0.000000
–:@0.472819:0.359708:0.477845:0.359708:0.477845:0.350768:0.472819:0.350768:0.000000
π:@0.515650:0.356554:0.520947:0.356554:0.520947:0.347615:0.515650:0.347615:0.000000
2:@0.515851:0.366195:0.520756:0.366195:0.520756:0.357256:0.515851:0.357256:0.000000
–:@0.508724:0.359708:0.513750:0.359708:0.513750:0.350768:0.508724:0.350768:0.000000
π:@0.550441:0.356554:0.555738:0.356554:0.555738:0.347615:0.550441:0.347615:0.000000
2:@0.550642:0.366195:0.555547:0.366195:0.555547:0.357256:0.550642:0.357256:0.000000
x:@0.654468:0.357644:0.658539:0.357644:0.658539:0.348720:0.654468:0.348720:0.000000
1:@0.538274:0.346819:0.543179:0.346819:0.543179:0.337880:0.538274:0.337880:0.000000
1:@0.531720:0.356022:0.536625:0.356022:0.536625:0.347083:0.531720:0.347083:0.000000
–1:@0.537741:0.363710:0.547672:0.363710:0.547672:0.354770:0.537741:0.354770:0.000000:0.000000
y:@0.528966:0.296615:0.533047:0.296615:0.533047:0.287691:0.528966:0.287691:0.000000
y:@0.574449:0.302393:0.578530:0.302393:0.578530:0.293469:0.574449:0.293469:0.000000
 = :@0.578530:0.302393:0.588923:0.302393:0.588923:0.293454:0.578530:0.293454:0.000000:0.000000:0.000000
csc x t:@0.588923:0.302393:0.613097:0.302393:0.613097:0.293469:0.588923:0.293469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.600764:0.302393:0.610162:0.302393:0.610162:0.293454:0.600764:0.293454:0.000000:0.000000:0.000000
π:@0.568380:0.356020:0.573677:0.356020:0.573677:0.347080:0.568380:0.347080:0.000000
2π 3π:@0.603660:0.356020:0.631322:0.356554:0.631322:0.347615:0.603660:0.347080:0.000000:0.000000:0.000000:0.000000:0.000000
3π:@0.640418:0.356020:0.650620:0.356020:0.650620:0.347080:0.640418:0.347080:0.000000:0.000000
3π:@0.584554:0.356554:0.594756:0.356554:0.594756:0.347615:0.584554:0.347615:0.000000:0.000000
2:@0.587208:0.366195:0.592113:0.366195:0.592113:0.357256:0.587208:0.357256:0.000000
2:@0.623773:0.366195:0.628678:0.366195:0.628678:0.357256:0.623773:0.357256:0.000000
Funciones secante y cosecante. Características:@0.096359:0.100489:0.562138:0.100489:0.562138:0.078979:0.096359:0.078979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La calculadora debe estar :@0.755006:0.644616:0.928226:0.644616:0.928226:0.629717:0.755006:0.629717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en modo de radianes para :@0.755006:0.659703:0.933872:0.659703:0.933872:0.644804:0.755006:0.644804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resolver problemas que :@0.755006:0.674791:0.915643:0.674791:0.915643:0.659892:0.755006:0.659892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
impliquen uso de :@0.755006:0.689879:0.875908:0.689879:0.875908:0.674980:0.755006:0.674980:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funciones :@0.755006:0.704966:0.824177:0.704966:0.824177:0.690067:0.755006:0.690067:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trigonométricas.:@0.755006:0.720054:0.864297:0.720054:0.864297:0.705155:0.755006:0.705155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Digital:@0.806780:0.612175:0.857250:0.612175:0.857250:0.595274:0.806780:0.595274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuando actúas con :@0.754587:0.152609:0.887082:0.152609:0.887082:0.137710:0.754587:0.137710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
integridad, evitando el :@0.754587:0.167696:0.908105:0.167696:0.908105:0.152797:0.754587:0.152797:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
plagio, respetando las :@0.754587:0.182784:0.903701:0.182784:0.903701:0.167885:0.754587:0.167885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
normas y siendo justo, :@0.754587:0.197872:0.907366:0.197872:0.907366:0.182972:0.754587:0.182972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aprendes que el éxito :@0.754587:0.212959:0.902039:0.212959:0.902039:0.198060:0.754587:0.198060:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
verdadero no se basa en :@0.754587:0.228047:0.920972:0.228047:0.920972:0.213148:0.754587:0.213148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
atajos, sino en el esfuerzo :@0.754587:0.243134:0.927636:0.243134:0.927636:0.228235:0.754587:0.228235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y la coherencia moral.:@0.754587:0.258222:0.899511:0.258222:0.899511:0.243323:0.754587:0.243323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué consecuencias tiene el :@0.754587:0.370762:0.933269:0.370762:0.933269:0.355888:0.754587:0.355888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que copies en un examen? :@0.754587:0.385849:0.923534:0.385849:0.923534:0.370975:0.754587:0.370975:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dialoga con tus :@0.754587:0.400937:0.857814:0.400937:0.857814:0.386063:0.754587:0.386063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
compañeros.:@0.754587:0.416025:0.837376:0.416025:0.837376:0.401151:0.754587:0.401151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   Ética e integridad:@0.769668:0.120167:0.912519:0.120167:0.912519:0.103266:0.769668:0.103266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.942184:0.331487:0.942184:0.288662:0.930273:0.288662:0.930273:0.331487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–1:@0.528991:0.901324:0.540546:0.901324:0.540546:0.891034:0.528991:0.891034:0.000000:0.000000
1:@0.534694:0.841848:0.542008:0.841848:0.542008:0.828986:0.534694:0.828986:0.000000
–π/2:@0.492561:0.878050:0.519808:0.878050:0.519808:0.865187:0.492561:0.865187:0.000000:0.000000:0.000000:0.000000
–π:@0.456765:0.878050:0.471806:0.878050:0.471806:0.865187:0.456765:0.865187:0.000000:0.000000
π/2:@0.576076:0.878050:0.596194:0.878050:0.596194:0.865187:0.576076:0.865187:0.000000:0.000000:0.000000
π:@0.622629:0.878050:0.630542:0.878050:0.630542:0.865187:0.622629:0.865187:0.000000
3π/2:@0.654510:0.878050:0.681943:0.878050:0.681943:0.865187:0.654510:0.865187:0.000000:0.000000:0.000000:0.000000
2π:@0.699765:0.878050:0.714993:0.878050:0.714993:0.865187:0.699765:0.865187:0.000000:0.000000
0:@0.534129:0.878050:0.541443:0.878050:0.541443:0.865187:0.534129:0.865187:0.000000
y:@0.534617:0.821623:0.540905:0.821623:0.540905:0.809606:0.534617:0.809606:0.000000
x:@0.718404:0.877418:0.724692:0.877418:0.724692:0.865401:0.718404:0.865401:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000