50:@0.037229:0.974518:0.056728:0.974518:0.056728:0.957377:0.037229:0.957377:0.000000:0.000000
Funciones trigonométricas:@0.073089:0.043661:0.311884:0.043661:0.311884:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.1 Función tangente:@0.293660:0.235348:0.460312:0.235348:0.460312:0.218401:0.293660:0.218401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Esta función se denota con :@0.293660:0.262710:0.494833:0.262710:0.494833:0.246998:0.293660:0.246998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tan:@0.494815:0.262710:0.520187:0.262710:0.520187:0.247275:0.494815:0.247275:0.000000:0.000000:0.000000
 y el valor numérico en       en el que está definida; se :@0.520125:0.262710:0.931122:0.262710:0.931122:0.246998:0.520125:0.246998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.690410:0.262710:0.697865:0.262710:0.697865:0.247275:0.690410:0.247275:0.000000
[:@0.701988:0.262572:0.717321:0.262572:0.717321:0.248523:0.701988:0.248523:0.000000
R:@0.721426:0.261850:0.734716:0.261850:0.734716:0.248953:0.721426:0.248953:0.000000
designa con :@0.293660:0.279352:0.386517:0.279352:0.386517:0.263639:0.293660:0.263639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tan x:@0.386359:0.279352:0.423928:0.279352:0.423928:0.263917:0.386359:0.263917:0.000000:0.000000:0.000000:0.000000:0.000000
( ) que, a su vez, se define como:  :@0.411669:0.279352:0.655423:0.279352:0.655423:0.263639:0.411669:0.263639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen( ):@0.575386:0.303630:0.618257:0.303630:0.618257:0.287918:0.575386:0.287918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.605924:0.303630:0.613379:0.303630:0.613379:0.288195:0.605924:0.288195:0.000000
cos( ):@0.575386:0.317998:0.617465:0.317998:0.617465:0.302285:0.575386:0.302285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.605133:0.317998:0.612588:0.317998:0.612588:0.302562:0.605133:0.302562:0.000000
tan( ) :@0.512005:0.310789:0.557157:0.310789:0.557157:0.295076:0.512005:0.295076:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.540793:0.310789:0.548248:0.310789:0.548248:0.295353:0.540793:0.295353:0.000000
5:@0.557157:0.310234:0.572490:0.310234:0.572490:0.296518:0.557157:0.296518:0.000000
,   cos( ) :@0.617017:0.310303:0.678424:0.310303:0.678424:0.294591:0.617017:0.294591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.662060:0.310303:0.669514:0.310303:0.669514:0.294868:0.662060:0.294868:0.000000
? :@0.678424:0.310844:0.698359:0.310844:0.698359:0.295672:0.678424:0.295672:0.000000:0.000000
0:@0.698359:0.310303:0.707341:0.310303:0.707341:0.294591:0.698359:0.294591:0.000000
Para determinar el dominio de la función tangente, resolvemos la ecuación      , tal :@0.293660:0.347538:0.930938:0.347538:0.930938:0.331826:0.293660:0.331826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.855431:0.347538:0.862886:0.347538:0.862886:0.332103:0.855431:0.332103:0.000000
[:@0.867598:0.347400:0.882932:0.347400:0.882932:0.333351:0.867598:0.333351:0.000000
R:@0.887644:0.346678:0.900934:0.346678:0.900934:0.333781:0.887644:0.333781:0.000000
que cos( )   0, cuya solución es:   :@0.293660:0.365109:0.545503:0.365158:0.545503:0.349446:0.293660:0.349397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.355472:0.365109:0.362927:0.365109:0.362927:0.349674:0.355472:0.349674:0.000000
5:@0.371596:0.364555:0.386930:0.364555:0.386930:0.350839:0.371596:0.350839:0.000000
p:@0.566963:0.357445:0.579240:0.357445:0.579240:0.343730:0.566963:0.343730:0.000000
p:@0.611885:0.364604:0.624162:0.364604:0.624162:0.350888:0.611885:0.350888:0.000000
2:@0.568795:0.372366:0.577778:0.372366:0.577778:0.356653:0.568795:0.356653:0.000000
x:@0.534017:0.365158:0.541472:0.365158:0.541472:0.349723:0.534017:0.349723:0.000000
5:@0.545503:0.364604:0.560836:0.364604:0.560836:0.350888:0.545503:0.350888:0.000000
1 :@0.583256:0.364604:0.603191:0.364604:0.603191:0.350888:0.583256:0.350888:0.000000:0.000000
k:@0.603191:0.365158:0.610757:0.365158:0.610757:0.349723:0.603191:0.349723:0.000000
,     :@0.625096:0.364673:0.651989:0.364673:0.651989:0.348960:0.625096:0.348960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.640393:0.364673:0.647958:0.364673:0.647958:0.349238:0.640393:0.349238:0.000000
[:@0.651989:0.364534:0.667322:0.364534:0.667322:0.350486:0.651989:0.350486:0.000000
 :@0.667322:0.365214:0.671924:0.365214:0.671924:0.350042:0.667322:0.350042:0.000000
Z:@0.671924:0.363813:0.684202:0.363813:0.684202:0.350916:0.671924:0.350916:0.000000
.:@0.684202:0.364673:0.687405:0.364673:0.687405:0.348960:0.684202:0.348960:0.000000
Por lo tanto, {      | cos( )   0}   :@0.293660:0.395217:0.546355:0.395217:0.546355:0.379504:0.293660:0.379504:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.389249:0.395217:0.396704:0.395217:0.396704:0.379782:0.389249:0.379782:0.000000
[:@0.400588:0.395078:0.415921:0.395078:0.415921:0.381030:0.400588:0.381030:0.000000
R:@0.419787:0.394357:0.433077:0.394357:0.433077:0.381460:0.419787:0.381460:0.000000
x:@0.474125:0.395217:0.481580:0.395217:0.481580:0.379782:0.474125:0.379782:0.000000
5:@0.490250:0.394662:0.505583:0.394662:0.505583:0.380947:0.490250:0.380947:0.000000
5:@0.527083:0.394662:0.542416:0.394662:0.542416:0.380947:0.527083:0.380947:0.000000
p:@0.555513:0.385381:0.567791:0.385381:0.567791:0.371665:0.555513:0.371665:0.000000
p |:@0.600435:0.392539:0.623369:0.392054:0.623369:0.378338:0.600435:0.378824:0.000000:0.000000:0.000000
2:@0.557347:0.400302:0.566330:0.400302:0.566330:0.384589:0.557347:0.384589:0.000000
h:@0.547889:0.399509:0.554576:0.399509:0.554576:0.370016:0.547889:0.370016:0.000000
j:@0.672480:0.399371:0.679167:0.399371:0.679167:0.370352:0.672480:0.370352:0.000000
1 :@0.571810:0.392539:0.591746:0.392539:0.591746:0.378824:0.571810:0.378824:0.000000:0.000000
k:@0.591746:0.393094:0.599311:0.393094:0.599311:0.377659:0.591746:0.377659:0.000000
   :@0.623369:0.392609:0.638997:0.392609:0.638997:0.376896:0.623369:0.376896:0.000000:0.000000:0.000000
k:@0.627400:0.392609:0.634966:0.392609:0.634966:0.377173:0.627400:0.377173:0.000000
[:@0.638997:0.392470:0.654330:0.392470:0.654330:0.378421:0.638997:0.378421:0.000000
 :@0.654330:0.393149:0.658932:0.393149:0.658932:0.377978:0.654330:0.377978:0.000000
Z  :@0.658932:0.391749:0.680413:0.391749:0.680413:0.378851:0.658932:0.378851:0.000000:0.000000:0.000000
.:@0.680415:0.392604:0.683618:0.392604:0.683618:0.376891:0.680415:0.376891:0.000000
,:@0.684103:0.395217:0.687306:0.395217:0.687306:0.379504:0.684103:0.379504:0.000000
de donde :@0.293660:0.422290:0.368688:0.422290:0.368688:0.406578:0.293660:0.406578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dom Tan:@0.368559:0.422290:0.434133:0.422290:0.434133:0.406855:0.368559:0.406855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.403956:0.422290:0.408834:0.422290:0.408834:0.406578:0.403956:0.406578:0.000000
)     \ :@0.434071:0.422290:0.489532:0.422290:0.489532:0.406578:0.434071:0.406578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.442814:0.421736:0.458147:0.421736:0.458147:0.408020:0.442814:0.408020:0.000000
R:@0.462013:0.421430:0.475303:0.421430:0.475303:0.408533:0.462013:0.408533:0.000000
p:@0.498640:0.415487:0.510918:0.415487:0.510918:0.401772:0.498640:0.401772:0.000000
p |:@0.543564:0.422646:0.566496:0.422160:0.566496:0.408445:0.543564:0.408930:0.000000:0.000000:0.000000
2:@0.500474:0.430408:0.509457:0.430408:0.509457:0.414696:0.500474:0.414696:0.000000
h:@0.491016:0.429615:0.497703:0.429615:0.497703:0.400122:0.491016:0.400122:0.000000
j:@0.615606:0.429478:0.622293:0.429478:0.622293:0.400458:0.615606:0.400458:0.000000
1 :@0.514937:0.422646:0.534872:0.422646:0.534872:0.408930:0.514937:0.408930:0.000000:0.000000
k:@0.534872:0.423201:0.542438:0.423201:0.542438:0.407765:0.534872:0.407765:0.000000
   :@0.566496:0.422715:0.582124:0.422715:0.582124:0.407003:0.566496:0.407003:0.000000:0.000000:0.000000
k:@0.570527:0.422715:0.578092:0.422715:0.578092:0.407280:0.570527:0.407280:0.000000
[:@0.582124:0.422577:0.597457:0.422577:0.597457:0.408528:0.582124:0.408528:0.000000
 :@0.597457:0.423256:0.602059:0.423256:0.602059:0.408084:0.597457:0.408084:0.000000
Z  :@0.602059:0.421855:0.623540:0.421855:0.623540:0.408958:0.602059:0.408958:0.000000:0.000000:0.000000
.:@0.623542:0.422710:0.626744:0.422710:0.626744:0.406997:0.623542:0.406997:0.000000
Mostremos que :@0.293660:0.449295:0.412135:0.449295:0.412135:0.433583:0.293660:0.433583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Rec Tan:@0.411974:0.449295:0.466338:0.449295:0.466338:0.433860:0.411974:0.433860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.436161:0.449295:0.441039:0.449295:0.441039:0.433583:0.436161:0.433583:0.000000
)    . En efecto, sea      . Supongamos::@0.466275:0.449295:0.768559:0.449295:0.768559:0.433583:0.466275:0.433583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.475018:0.448741:0.490352:0.448741:0.490352:0.435025:0.475018:0.435025:0.000000
R:@0.494217:0.448436:0.507507:0.448436:0.507507:0.435538:0.494217:0.435538:0.000000
y:@0.617012:0.449295:0.624485:0.449295:0.624485:0.433860:0.617012:0.433860:0.000000
[:@0.628369:0.449157:0.643703:0.449157:0.643703:0.435108:0.628369:0.435108:0.000000
R:@0.647568:0.448436:0.660858:0.448436:0.660858:0.435538:0.647568:0.435538:0.000000
sen( ):@0.386712:0.473574:0.429582:0.473574:0.429582:0.457861:0.386712:0.457861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.417249:0.473574:0.424704:0.473574:0.424704:0.458138:0.417249:0.458138:0.000000
cos( ):@0.386712:0.487941:0.428791:0.487941:0.428791:0.472228:0.386712:0.472228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.416458:0.487941:0.423913:0.487941:0.423913:0.472506:0.416458:0.472506:0.000000
, para algún :@0.428349:0.480242:0.518615:0.481242:0.518615:0.465529:0.428349:0.464529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.295671:0.480089:0.303144:0.480089:0.303144:0.464654:0.295671:0.464654:0.000000
  tan( ) =:@0.303071:0.480089:0.377859:0.480089:0.377859:0.464377:0.303071:0.464377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.307028:0.479867:0.322361:0.479867:0.322361:0.466152:0.307028:0.466152:0.000000
x:@0.350763:0.480089:0.358218:0.480089:0.358218:0.464654:0.350763:0.464654:0.000000
p:@0.551370:0.474174:0.563648:0.474174:0.563648:0.460458:0.551370:0.460458:0.000000
2:@0.553156:0.489096:0.562138:0.489096:0.562138:0.473383:0.553156:0.473383:0.000000
k:@0.586955:0.481397:0.594520:0.481397:0.594520:0.465961:0.586955:0.465961:0.000000
p:@0.594520:0.480842:0.606798:0.480842:0.606798:0.467126:0.594520:0.467126:0.000000
.:@0.606798:0.481397:0.610000:0.481397:0.610000:0.465684:0.606798:0.465684:0.000000
x :@0.520468:0.481105:0.531162:0.481105:0.531162:0.465670:0.520468:0.465670:0.000000:0.000000
?:@0.531107:0.482229:0.546440:0.482229:0.546440:0.467057:0.531107:0.467057:0.000000
1:@0.568566:0.480620:0.583899:0.480620:0.583899:0.466904:0.568566:0.466904:0.000000
Entonces,   :@0.293660:0.512049:0.386210:0.512034:0.386210:0.496321:0.293660:0.496336:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen( ):@0.406532:0.505518:0.454667:0.505518:0.454667:0.489806:0.406532:0.489806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.442334:0.505518:0.449789:0.505518:0.449789:0.490083:0.442334:0.490083:0.000000
cos( ):@0.406532:0.519886:0.453875:0.519886:0.453875:0.504173:0.406532:0.504173:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.441542:0.519886:0.448997:0.519886:0.448997:0.504451:0.441542:0.504451:0.000000
, , y de la relación sen ( )   cos ( )   1 :@0.448169:0.512186:0.728444:0.512049:0.728444:0.496336:0.448169:0.496474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.369588:0.512034:0.377062:0.512034:0.377062:0.496599:0.369588:0.496599:0.000000
5:@0.386118:0.511812:0.401451:0.511812:0.401451:0.498096:0.386118:0.498096:0.000000
2:@0.600171:0.505985:0.605408:0.505985:0.605408:0.496825:0.600171:0.496825:0.000000
x:@0.610166:0.512049:0.617621:0.512049:0.617621:0.496614:0.610166:0.496614:0.000000
1:@0.626291:0.511494:0.641624:0.511494:0.641624:0.497779:0.626291:0.497779:0.000000
2:@0.670114:0.505985:0.675350:0.505985:0.675350:0.496825:0.670114:0.496825:0.000000
x:@0.680107:0.512049:0.687562:0.512049:0.687562:0.496614:0.680107:0.496614:0.000000
5:@0.696232:0.511494:0.711565:0.511494:0.711565:0.497779:0.696232:0.497779:0.000000
se sigue que::@0.293647:0.539050:0.387929:0.539050:0.387929:0.523338:0.293647:0.523338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.293647:0.572653:0.301120:0.572653:0.301120:0.557218:0.293647:0.557218:0.000000
2:@0.301067:0.566598:0.306303:0.566598:0.306303:0.557438:0.301067:0.557438:0.000000
cos ( )   sen ( ) :@0.306257:0.572662:0.427827:0.572662:0.427827:0.556949:0.306257:0.556949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.330883:0.566598:0.336120:0.566598:0.336120:0.557438:0.330883:0.557438:0.000000
x:@0.340878:0.572662:0.348333:0.572662:0.348333:0.557227:0.340878:0.557227:0.000000
5:@0.357003:0.572107:0.372336:0.572107:0.372336:0.558392:0.357003:0.558392:0.000000
2:@0.401617:0.566598:0.406854:0.566598:0.406854:0.557438:0.401617:0.557438:0.000000
x:@0.411610:0.572662:0.419065:0.572662:0.419065:0.557227:0.411610:0.557227:0.000000
⇔:@0.427735:0.572246:0.446916:0.572246:0.446916:0.555257:0.427735:0.555257:0.000000
  (1   sen ( ))   sen ( ) :@0.446824:0.572662:0.627377:0.572662:0.627377:0.556949:0.446824:0.556949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.450781:0.572662:0.458254:0.572662:0.458254:0.557227:0.450781:0.557227:0.000000
2:@0.458186:0.566598:0.463423:0.566598:0.463423:0.557438:0.458186:0.557438:0.000000
2:@0.481029:0.572107:0.496362:0.572107:0.496362:0.558392:0.481029:0.558392:0.000000
2:@0.525635:0.566598:0.530872:0.566598:0.530872:0.557438:0.525635:0.557438:0.000000
x:@0.535630:0.572662:0.543085:0.572662:0.543085:0.557227:0.535630:0.557227:0.000000
5:@0.556559:0.572107:0.571892:0.572107:0.571892:0.558392:0.556559:0.558392:0.000000
2:@0.601167:0.566598:0.606404:0.566598:0.606404:0.557438:0.601167:0.557438:0.000000
x:@0.611160:0.572662:0.618615:0.572662:0.618615:0.557227:0.611160:0.557227:0.000000
⇔:@0.627285:0.572246:0.646465:0.572246:0.646465:0.555257:0.627285:0.555257:0.000000
 sen ( )   :@0.646373:0.572662:0.721138:0.572662:0.721138:0.556949:0.646373:0.556949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.675746:0.566598:0.680983:0.566598:0.680983:0.557438:0.675746:0.557438:0.000000
x:@0.685741:0.572662:0.693196:0.572662:0.693196:0.557227:0.685741:0.557227:0.000000
5:@0.701866:0.572107:0.717199:0.572107:0.717199:0.558392:0.701866:0.558392:0.000000
1:@0.724226:0.578475:0.733209:0.578475:0.733209:0.562041:0.724226:0.562041:0.000000
1 :@0.733209:0.578087:0.753144:0.578087:0.753144:0.564371:0.733209:0.564371:0.000000:0.000000
y:@0.753144:0.578309:0.760617:0.578309:0.760617:0.562873:0.753144:0.562873:0.000000
:@0.760617:0.578309:0.765881:0.578309:0.765881:0.561875:0.760617:0.561875:0.000000
y:@0.740848:0.562016:0.748321:0.562016:0.748321:0.546581:0.740848:0.546581:0.000000
:@0.748247:0.562016:0.753512:0.562016:0.753512:0.545582:0.748247:0.545582:0.000000
.:@0.769938:0.572662:0.773141:0.572662:0.773141:0.556949:0.769938:0.556949:0.000000
Como 0   :@0.293660:0.606469:0.374450:0.606469:0.374450:0.590756:0.293660:0.590756:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
#:@0.355177:0.605914:0.370510:0.605914:0.370510:0.592198:0.355177:0.592198:0.000000
1:@0.377539:0.612082:0.386521:0.612082:0.386521:0.595648:0.377539:0.595648:0.000000
1 :@0.386521:0.611693:0.406456:0.611693:0.406456:0.597978:0.386521:0.597978:0.000000:0.000000
y:@0.406456:0.611915:0.413930:0.611915:0.413930:0.596480:0.406456:0.596480:0.000000
:@0.413930:0.611915:0.419194:0.611915:0.419194:0.595481:0.413930:0.595481:0.000000
y:@0.394160:0.595623:0.401634:0.595623:0.401634:0.580187:0.394160:0.580187:0.000000
:@0.401560:0.595623:0.406825:0.595623:0.406825:0.579189:0.401560:0.579189:0.000000
   1, la ecuación      , tal que sen( )   :@0.423251:0.606469:0.719177:0.606469:0.719177:0.590756:0.423251:0.590756:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
#:@0.427201:0.605914:0.442535:0.605914:0.442535:0.592198:0.427201:0.592198:0.000000
x:@0.548708:0.606469:0.556163:0.606469:0.556163:0.591033:0.548708:0.591033:0.000000
[:@0.560047:0.606330:0.575380:0.606330:0.575380:0.592282:0.560047:0.592282:0.000000
R:@0.579245:0.605609:0.592535:0.605609:0.592535:0.592712:0.579245:0.592712:0.000000
x:@0.683780:0.606469:0.691235:0.606469:0.691235:0.591033:0.683780:0.591033:0.000000
5:@0.699905:0.605914:0.715238:0.605914:0.715238:0.592198:0.699905:0.592198:0.000000
1:@0.724261:0.615962:0.733244:0.615962:0.733244:0.599528:0.724261:0.599528:0.000000
1 :@0.733244:0.615574:0.753179:0.615574:0.753179:0.601858:0.733244:0.601858:0.000000:0.000000
y:@0.753179:0.615796:0.760652:0.615796:0.760652:0.600360:0.753179:0.600360:0.000000
:@0.760652:0.615796:0.765917:0.615796:0.765917:0.599362:0.760652:0.599362:0.000000
y:@0.740312:0.597680:0.747785:0.597680:0.747785:0.582245:0.740312:0.582245:0.000000
!:@0.718699:0.616349:0.726129:0.616349:0.726129:0.600300:0.718699:0.600300:0.000000
, :@0.768596:0.606469:0.775830:0.606469:0.775830:0.590756:0.768596:0.590756:0.000000:0.000000
tiene solución en  . Es decir, existe       \ :@0.293652:0.636341:0.607735:0.636341:0.607735:0.620628:0.293652:0.620628:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.422392:0.635481:0.435682:0.635481:0.435682:0.622584:0.422392:0.622584:0.000000
x:@0.549678:0.636341:0.557133:0.636341:0.557133:0.620906:0.549678:0.620906:0.000000
[:@0.561017:0.636202:0.576350:0.636202:0.576350:0.622154:0.561017:0.622154:0.000000
R:@0.580216:0.635481:0.593506:0.635481:0.593506:0.622584:0.580216:0.622584:0.000000
p:@0.616855:0.627088:0.629132:0.627088:0.629132:0.613373:0.616855:0.613373:0.000000
p |:@0.661777:0.634247:0.684709:0.633761:0.684709:0.620046:0.661777:0.620531:0.000000:0.000000:0.000000
2:@0.618687:0.642009:0.627670:0.642009:0.627670:0.626297:0.618687:0.626297:0.000000
h:@0.609229:0.641216:0.615916:0.641216:0.615916:0.611723:0.609229:0.611723:0.000000
j:@0.733821:0.641079:0.740508:0.641079:0.740508:0.612059:0.733821:0.612059:0.000000
1 :@0.633150:0.634247:0.653085:0.634247:0.653085:0.620531:0.633150:0.620531:0.000000:0.000000
k:@0.653085:0.634802:0.660651:0.634802:0.660651:0.619366:0.653085:0.619366:0.000000
   :@0.684709:0.634316:0.700337:0.634316:0.700337:0.618603:0.684709:0.618603:0.000000:0.000000:0.000000
k:@0.688740:0.634316:0.696305:0.634316:0.696305:0.618881:0.688740:0.618881:0.000000
[:@0.700337:0.634177:0.715670:0.634177:0.715670:0.620129:0.700337:0.620129:0.000000
 :@0.715670:0.634857:0.720272:0.634857:0.720272:0.619685:0.715670:0.619685:0.000000
Z  :@0.720273:0.633451:0.741755:0.633451:0.741755:0.620554:0.720273:0.620554:0.000000:0.000000:0.000000
, tal que sen( )   :@0.741179:0.636338:0.867908:0.636338:0.867908:0.620626:0.741179:0.620626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.832511:0.636338:0.839966:0.636338:0.839966:0.620903:0.832511:0.620903:0.000000
5:@0.848635:0.635784:0.863969:0.635784:0.863969:0.622068:0.848635:0.622068:0.000000
1:@0.873005:0.645094:0.881988:0.645094:0.881988:0.628660:0.873005:0.628660:0.000000
1 :@0.881988:0.644706:0.901923:0.644706:0.901923:0.630990:0.881988:0.630990:0.000000:0.000000
y:@0.901923:0.644928:0.909396:0.644928:0.909396:0.629493:0.901923:0.629493:0.000000
:@0.909396:0.644928:0.914661:0.644928:0.914661:0.628494:0.909396:0.628494:0.000000
y:@0.889056:0.626813:0.896529:0.626813:0.896529:0.611378:0.889056:0.611378:0.000000
!:@0.867443:0.645483:0.874873:0.645483:0.874873:0.629433:0.867443:0.629433:0.000000
.:@0.917341:0.636338:0.920544:0.636338:0.920544:0.620626:0.917341:0.620626:0.000000
Nota que no estamos interesados en el valor numérico de la ecuación, sino en la :@0.293667:0.663340:0.931185:0.663340:0.931185:0.647627:0.293667:0.647627:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
existencia de soluciones.:@0.293667:0.679982:0.472057:0.679982:0.472057:0.664269:0.293667:0.664269:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La función tangente está definida como sigue::@0.293667:0.706983:0.629647:0.706983:0.629647:0.691270:0.293667:0.691270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tan: :@0.518972:0.748504:0.551545:0.748504:0.551545:0.732792:0.518972:0.732792:0.000000:0.000000:0.000000:0.000000:0.000000
sen( ):@0.654757:0.745462:0.697627:0.745462:0.697627:0.729749:0.654757:0.729749:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.685295:0.745462:0.692749:0.745462:0.692749:0.730027:0.685295:0.730027:0.000000
cos( ):@0.656598:0.759830:0.698677:0.759830:0.698677:0.744117:0.656598:0.744117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.686344:0.759830:0.693799:0.759830:0.693799:0.744394:0.686344:0.744394:0.000000
dom:@0.560236:0.731594:0.593313:0.731594:0.593313:0.716159:0.560236:0.716159:0.000000:0.000000:0.000000
(Tan) :@0.593313:0.731594:0.633901:0.731594:0.633901:0.715881:0.593313:0.715881:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
→ :@0.633901:0.732273:0.656671:0.732273:0.656671:0.716658:0.633901:0.716658:0.000000:0.000000
p:@0.656671:0.731039:0.668949:0.731039:0.668949:0.717324:0.656671:0.717324:0.000000
x  Tan x:@0.559683:0.752815:0.626465:0.752815:0.626465:0.737380:0.559683:0.737380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
→:@0.570452:0.753494:0.588620:0.753494:0.588620:0.737879:0.570452:0.737879:0.000000
( ) :@0.614132:0.752815:0.635374:0.752815:0.635374:0.737102:0.614132:0.737102:0.000000:0.000000:0.000000:0.000000
5 :@0.635374:0.752260:0.655309:0.752260:0.655309:0.738544:0.635374:0.738544:0.000000:0.000000
h:@0.552398:0.763077:0.558527:0.763077:0.558527:0.708033:0.552398:0.708033:0.000000
.:@0.698406:0.748512:0.701608:0.748512:0.701608:0.732799:0.698406:0.732799:0.000000
La función tangente es periódica de período  , esto es,:@0.293660:0.775518:0.692604:0.775518:0.692604:0.759806:0.293660:0.759806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.619873:0.774964:0.632151:0.774964:0.632151:0.761248:0.619873:0.761248:0.000000
tan(     )   tan( ),      :@0.293660:0.802520:0.460375:0.802520:0.460375:0.786807:0.293660:0.786807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.322118:0.802520:0.329573:0.802520:0.329573:0.787084:0.322118:0.787084:0.000000
1 p 5:@0.333457:0.801965:0.388918:0.801965:0.388918:0.788249:0.333457:0.788249:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.421241:0.802520:0.428696:0.802520:0.428696:0.787084:0.421241:0.787084:0.000000
;:@0.460246:0.801965:0.472523:0.801965:0.472523:0.788249:0.460246:0.788249:0.000000
x:@0.472431:0.802520:0.479886:0.802520:0.479886:0.787084:0.472431:0.787084:0.000000
   :@0.479813:0.802520:0.503043:0.802520:0.503043:0.786807:0.479813:0.786807:0.000000:0.000000:0.000000
[:@0.483770:0.802381:0.499103:0.802381:0.499103:0.788333:0.483770:0.788333:0.000000
Dom:@0.502969:0.802520:0.538429:0.802520:0.538429:0.787084:0.502969:0.787084:0.000000:0.000000:0.000000
(Tan).:@0.538366:0.802520:0.577743:0.802520:0.577743:0.786807:0.538366:0.786807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Además, esta función es impar, pues::@0.293660:0.829521:0.560030:0.829521:0.560030:0.813808:0.293660:0.813808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tan:@0.293660:0.860364:0.319033:0.860364:0.319033:0.844929:0.293660:0.844929:0.000000:0.000000:0.000000
(:@0.318970:0.860364:0.323848:0.860364:0.323848:0.844651:0.318970:0.844651:0.000000
2 5:@0.323774:0.859809:0.370474:0.859809:0.370474:0.846094:0.323774:0.846094:0.000000:0.000000:0.000000
x:@0.339016:0.860364:0.346471:0.860364:0.346471:0.844929:0.339016:0.844929:0.000000
) :@0.346397:0.860364:0.355232:0.860364:0.355232:0.844651:0.346397:0.844651:0.000000:0.000000
Sen:@0.370972:0.854215:0.396540:0.854215:0.396540:0.838780:0.370972:0.838780:0.000000:0.000000:0.000000
(:@0.396540:0.854215:0.401418:0.854215:0.401418:0.838503:0.396540:0.838503:0.000000
2:@0.401416:0.853661:0.416749:0.853661:0.416749:0.839945:0.401416:0.839945:0.000000
x:@0.416749:0.854215:0.424204:0.854215:0.424204:0.838780:0.416749:0.838780:0.000000
):@0.424204:0.854215:0.429082:0.854215:0.429082:0.838503:0.424204:0.838503:0.000000
Cos:@0.371781:0.868583:0.397109:0.868583:0.397109:0.853147:0.371781:0.853147:0.000000:0.000000:0.000000
(:@0.397109:0.868583:0.401987:0.868583:0.401987:0.852870:0.397109:0.852870:0.000000
2:@0.401987:0.868028:0.417320:0.868028:0.417320:0.854312:0.401987:0.854312:0.000000
x:@0.417320:0.868583:0.424775:0.868583:0.424775:0.853147:0.417320:0.853147:0.000000
):@0.424775:0.868583:0.429653:0.868583:0.429653:0.852870:0.424775:0.852870:0.000000
2:@0.453482:0.853661:0.468815:0.853661:0.468815:0.839945:0.453482:0.839945:0.000000
Sen x:@0.468815:0.854215:0.506716:0.854215:0.506716:0.838780:0.468815:0.838780:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.494383:0.854215:0.511594:0.854215:0.511594:0.838503:0.494383:0.838503:0.000000:0.000000:0.000000
Cos x:@0.461544:0.868583:0.499206:0.868583:0.499206:0.853147:0.461544:0.853147:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.486873:0.868583:0.504083:0.868583:0.504083:0.852870:0.486873:0.852870:0.000000:0.000000:0.000000
5:@0.433097:0.860761:0.448430:0.860761:0.448430:0.847045:0.433097:0.847045:0.000000
Sen x:@0.550547:0.854215:0.588447:0.854215:0.588447:0.838780:0.550547:0.838780:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.576114:0.854215:0.593325:0.854215:0.593325:0.838503:0.576114:0.838503:0.000000:0.000000:0.000000
Cos x:@0.551357:0.868583:0.589018:0.868583:0.589018:0.853147:0.551357:0.853147:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.576685:0.868583:0.593896:0.868583:0.593896:0.852870:0.576685:0.852870:0.000000:0.000000:0.000000
52:@0.515103:0.860761:0.545769:0.860761:0.545769:0.847045:0.515103:0.847045:0.000000:0.000000
   :@0.594072:0.860370:0.617301:0.860370:0.617301:0.844658:0.594072:0.844658:0.000000:0.000000:0.000000
5 2:@0.598029:0.859815:0.632561:0.859815:0.632561:0.846100:0.598029:0.846100:0.000000:0.000000:0.000000
Tan x:@0.632469:0.860370:0.670038:0.860370:0.670038:0.844935:0.632469:0.844935:0.000000:0.000000:0.000000:0.000000:0.000000
( ),   :@0.657779:0.860370:0.689844:0.860370:0.689844:0.844658:0.657779:0.844658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
;:@0.689734:0.859815:0.702012:0.859815:0.702012:0.846100:0.689734:0.846100:0.000000
x:@0.701920:0.860370:0.709375:0.860370:0.709375:0.844935:0.701920:0.844935:0.000000
   :@0.709301:0.860370:0.732531:0.860370:0.732531:0.844658:0.709301:0.844658:0.000000:0.000000:0.000000
[:@0.713258:0.860232:0.728592:0.860232:0.728592:0.846183:0.713258:0.846183:0.000000
Dom Tan x:@0.732457:0.860370:0.815014:0.860370:0.815014:0.844935:0.732457:0.844935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.767854:0.860370:0.772732:0.860370:0.772732:0.844658:0.767854:0.844658:0.000000
)( ).:@0.797969:0.860370:0.822947:0.860370:0.822947:0.844658:0.797969:0.844658:0.000000:0.000000:0.000000:0.000000:0.000000
El grafo de Tan está definido como::@0.293665:0.887372:0.546645:0.887372:0.546645:0.871659:0.293665:0.871659:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
G Tan:@0.293665:0.914373:0.334665:0.914373:0.334665:0.898938:0.293665:0.898938:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.304489:0.914373:0.309367:0.914373:0.309367:0.898660:0.304489:0.898660:0.000000
)   {( , :@0.334603:0.914373:0.386677:0.914373:0.386677:0.898660:0.334603:0.898660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.343346:0.913818:0.358680:0.913818:0.358680:0.900103:0.343346:0.900103:0.000000
x Tan x:@0.372135:0.914373:0.424154:0.914373:0.424154:0.898938:0.372135:0.898938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( )) |     :@0.411895:0.914373:0.476007:0.914373:0.476007:0.898660:0.411895:0.898660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.445396:0.914373:0.452851:0.914373:0.452851:0.898938:0.445396:0.898938:0.000000
[:@0.456735:0.914234:0.472068:0.914234:0.472068:0.900186:0.456735:0.900186:0.000000
Dom Tan:@0.475934:0.914373:0.541508:0.914373:0.541508:0.898938:0.475934:0.898938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.511331:0.914373:0.516209:0.914373:0.516209:0.898660:0.511331:0.898660:0.000000
)}.:@0.541445:0.914373:0.554257:0.914373:0.554257:0.898660:0.541445:0.898660:0.000000:0.000000:0.000000
En la Figura 5.10., se muestra la gráfica de la función tangente.:@0.293647:0.941374:0.740564:0.941374:0.740564:0.925662:0.293647:0.925662:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema 3. Funciones tangente y cotangente:@0.073089:0.098522:0.688688:0.098522:0.688688:0.067281:0.073089:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuál es el recorrido de la función tangente?:@0.293660:0.176008:0.615180:0.176008:0.615180:0.160295:0.293660:0.160295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 4 (Ev. 5) Modela fenómenos periódicos a través de funciones trigonométricas.:@0.482924:0.971366:0.916661:0.971366:0.916661:0.959939:0.482924:0.959939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reto matemático:@0.302768:0.140138:0.425244:0.140138:0.425244:0.124732:0.302768:0.124732:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pendientes e :@0.082576:0.303900:0.174868:0.303900:0.174868:0.288746:0.082576:0.288746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inclinaciones: :@0.082576:0.319029:0.179465:0.319029:0.179465:0.303875:0.082576:0.303875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La :@0.179331:0.319029:0.198023:0.319029:0.198023:0.304745:0.179331:0.304745:0.000000:0.000000:0.000000
función tangente es :@0.082576:0.334158:0.218900:0.334158:0.218900:0.319874:0.082576:0.319874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
esencial para calcular la :@0.082576:0.349287:0.240728:0.349287:0.240728:0.335003:0.082576:0.335003:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inclinación de terrenos, :@0.082576:0.364416:0.239548:0.364416:0.239548:0.350132:0.082576:0.350132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
carreteras, rampas y vías :@0.082576:0.379545:0.244852:0.379545:0.244852:0.365261:0.082576:0.365261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
férreas. Determina cuán :@0.082576:0.394674:0.242757:0.394674:0.242757:0.380389:0.082576:0.380389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pronunciada es una :@0.082576:0.409803:0.217210:0.409803:0.217210:0.395518:0.082576:0.395518:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pendiente, lo que permite :@0.082576:0.424932:0.258857:0.424932:0.258857:0.410647:0.082576:0.410647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diseñar caminos seguros, :@0.082576:0.440061:0.251827:0.440061:0.251827:0.425776:0.082576:0.425776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
accesos para personas :@0.082576:0.455189:0.233858:0.455189:0.233858:0.440905:0.082576:0.440905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con discapacidad y rutas :@0.082576:0.470318:0.248718:0.470318:0.248718:0.456034:0.082576:0.456034:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ferroviarias eficientes. :@0.082576:0.485447:0.226442:0.485447:0.226442:0.471163:0.082576:0.471163:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
También se usa para :@0.082576:0.500576:0.220339:0.500576:0.220339:0.486292:0.082576:0.486292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
evaluar la estabilidad :@0.082576:0.515705:0.224322:0.515705:0.224322:0.501421:0.082576:0.501421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de terrenos y prevenir :@0.082576:0.530834:0.230734:0.530834:0.230734:0.516550:0.082576:0.516550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
deslizamientos. Esto :@0.082576:0.545963:0.218704:0.545963:0.218704:0.531679:0.082576:0.531679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
garantiza que las :@0.082576:0.561092:0.197169:0.561092:0.197169:0.546808:0.082576:0.546808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estructuras sean seguras y :@0.082576:0.576221:0.258795:0.576221:0.258795:0.561937:0.082576:0.561937:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funcionales.:@0.082576:0.591350:0.161135:0.591350:0.161135:0.577066:0.082576:0.577066:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La tangente no es solo :@0.082576:0.704649:0.235517:0.704649:0.235517:0.690365:0.082576:0.690365:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una fórmula; su aplicación :@0.082576:0.719778:0.258636:0.719778:0.258636:0.705494:0.082576:0.705494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ayuda a diseñar un :@0.082576:0.734907:0.210449:0.734907:0.210449:0.720623:0.082576:0.720623:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mundo más seguro y :@0.082576:0.750036:0.226566:0.750036:0.226566:0.735752:0.082576:0.735752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
accesible, mejorar la :@0.082576:0.765165:0.219159:0.765165:0.219159:0.750881:0.082576:0.750881:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calidad de vida de todos.:@0.082576:0.780294:0.246671:0.780294:0.246671:0.766010:0.082576:0.766010:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad :@0.078576:0.243002:0.230321:0.243002:0.230321:0.227596:0.078576:0.227596:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemáticas e :@0.078576:0.258131:0.178414:0.258131:0.178414:0.243847:0.078576:0.243847:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ingeniería civil:@0.078576:0.273260:0.173216:0.273260:0.173216:0.258976:0.078576:0.258976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Figura 5.10.:@0.205011:0.940006:0.265199:0.940006:0.265199:0.928578:0.205011:0.928578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.256318:0.879124:0.261063:0.879124:0.261063:0.869301:0.256318:0.869301:0.000000
y:@0.138604:0.812883:0.143360:0.812883:0.143360:0.803061:0.138604:0.803061:0.000000
y:@0.163348:0.848683:0.167646:0.848683:0.167646:0.839808:0.163348:0.839808:0.000000
   tan( ):@0.167646:0.848683:0.203050:0.848683:0.203050:0.839649:0.167646:0.839649:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.169117:0.848364:0.177934:0.848364:0.177934:0.840478:0.169117:0.840478:0.000000
x:@0.195958:0.848683:0.200245:0.848683:0.200245:0.839808:0.195958:0.839808:0.000000
p:@0.185007:0.875121:0.190783:0.875121:0.190783:0.868668:0.185007:0.868668:0.000000
0:@0.149496:0.874193:0.153579:0.874193:0.153579:0.867051:0.149496:0.867051:0.000000
3:@0.203019:0.875708:0.207245:0.875708:0.207245:0.868316:0.203019:0.868316:0.000000
p:@0.207245:0.875447:0.213021:0.875447:0.213021:0.868995:0.207245:0.868995:0.000000
2:@0.206094:0.882011:0.210320:0.882011:0.210320:0.874619:0.206094:0.874619:0.000000
5:@0.241852:0.875708:0.246078:0.875708:0.246078:0.868316:0.241852:0.868316:0.000000
p:@0.246078:0.875447:0.251854:0.875447:0.251854:0.868995:0.246078:0.868995:0.000000
2:@0.244883:0.882011:0.249109:0.882011:0.249109:0.874619:0.244883:0.874619:0.000000
2:@0.221935:0.875708:0.226161:0.875708:0.226161:0.868316:0.221935:0.868316:0.000000
p:@0.226161:0.875447:0.231937:0.875447:0.231937:0.868995:0.226161:0.868995:0.000000
p:@0.125581:0.875447:0.131357:0.875447:0.131357:0.868995:0.125581:0.868995:0.000000
2:@0.126352:0.882011:0.130578:0.882011:0.130578:0.874619:0.126352:0.874619:0.000000
p:@0.165559:0.875447:0.171335:0.875447:0.171335:0.868995:0.165559:0.868995:0.000000
2:@0.166338:0.882011:0.170564:0.882011:0.170564:0.874619:0.166338:0.874619:0.000000
3:@0.085646:0.875708:0.089872:0.875708:0.089872:0.868316:0.085646:0.868316:0.000000
p:@0.089872:0.875447:0.095648:0.875447:0.095648:0.868995:0.089872:0.868995:0.000000
2:@0.088529:0.882011:0.092755:0.882011:0.092755:0.874619:0.088529:0.874619:0.000000
5:@0.046137:0.875708:0.050363:0.875708:0.050363:0.868316:0.046137:0.868316:0.000000
p 2 p 2:@0.050363:0.875447:0.084362:0.877946:0.084362:0.871493:0.050363:0.868995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.049021:0.882011:0.053247:0.882011:0.053247:0.874619:0.049021:0.874619:0.000000
2p:@0.104426:0.875121:0.117416:0.875121:0.117416:0.868668:0.104426:0.868668:0.000000:0.000000
2:@0.070038:0.875708:0.074264:0.875708:0.074264:0.868316:0.070038:0.868316:0.000000
2:@0.117797:0.877946:0.125011:0.877946:0.125011:0.871493:0.117797:0.871493:0.000000
2:@0.037564:0.877946:0.044778:0.877946:0.044778:0.871493:0.037564:0.871493:0.000000
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