179:@0.918240:0.966765:0.943652:0.966765:0.943652:0.950778:0.918240:0.950778:0.000000:0.000000:0.000000
Función cotangente:@0.108233:0.097328:0.267767:0.097328:0.267767:0.079645:0.108233:0.079645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La función cotangente se denota con :@0.108233:0.114035:0.377482:0.114035:0.377482:0.097538:0.108233:0.097538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cot:@0.377482:0.114151:0.401622:0.114151:0.401622:0.097682:0.377482:0.097682:0.000000:0.000000:0.000000
 y se define como sigue:  :@0.401624:0.114035:0.578093:0.114035:0.578093:0.097538:0.401624:0.097538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cot( ) =              ;    sen( ) ≠ 0.:@0.247579:0.138514:0.456433:0.138514:0.456433:0.122017:0.247579:0.122017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.276977:0.138630:0.284452:0.138630:0.284452:0.122161:0.276977:0.122161:0.000000
x:@0.412663:0.138630:0.420138:0.138630:0.420138:0.122161:0.412663:0.122161:0.000000
Para determinar el dominio de la función cotangente, resolvemos la :@0.108233:0.173216:0.599956:0.173216:0.599956:0.156718:0.108233:0.156718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación siguiente:      , tal que sen( ) = 0. La solución de esta :@0.108233:0.190567:0.599908:0.190567:0.599908:0.174070:0.108233:0.174069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.251199:0.190682:0.258673:0.190682:0.258673:0.174214:0.251199:0.174214:0.000000
:@0.265110:0.190350:0.281158:0.190350:0.281158:0.175703:0.265110:0.175703:0.000000
R:@0.288363:0.189480:0.301668:0.189480:0.301668:0.176618:0.288363:0.176618:0.000000
x:@0.398725:0.190683:0.406200:0.190683:0.406200:0.174214:0.398725:0.174214:0.000000
ecuación es   =  π,         . Por lo tanto, :@0.108224:0.207918:0.404144:0.207918:0.404144:0.191420:0.108224:0.191420:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x k:@0.195204:0.208034:0.230017:0.208034:0.230017:0.191565:0.195204:0.191565:0.000000:0.000000:0.000000
k:@0.259743:0.208034:0.267989:0.208034:0.267989:0.191565:0.259743:0.191565:0.000000
:@0.272518:0.207701:0.288566:0.207701:0.288566:0.193054:0.272518:0.193054:0.000000
Z:@0.293484:0.206831:0.305776:0.206831:0.305776:0.193969:0.293484:0.193969:0.000000
{      | sen( ) = 0} = { π |      },:@0.224804:0.237342:0.479192:0.237339:0.479192:0.220841:0.224804:0.220844:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.230660:0.237458:0.238135:0.237458:0.238135:0.220989:0.230660:0.220989:0.000000
:@0.242277:0.237125:0.258325:0.237125:0.258325:0.222478:0.242277:0.222478:0.000000
R:@0.263241:0.236252:0.276546:0.236252:0.276546:0.223390:0.263241:0.223390:0.000000
x:@0.319835:0.237454:0.327310:0.237454:0.327310:0.220986:0.319835:0.220986:0.000000
k:@0.392619:0.237454:0.400865:0.237454:0.400865:0.220986:0.392619:0.220986:0.000000
k:@0.424561:0.237454:0.432807:0.237454:0.432807:0.220986:0.424561:0.220986:0.000000
:@0.437334:0.237122:0.453382:0.237122:0.453382:0.222475:0.437334:0.222475:0.000000
Z:@0.458291:0.236252:0.470582:0.236252:0.470582:0.223390:0.458291:0.223390:0.000000
de donde :@0.108240:0.272040:0.181274:0.272040:0.181274:0.255543:0.108240:0.255543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dom:@0.181274:0.272156:0.216489:0.272156:0.216489:0.255687:0.181274:0.255687:0.000000:0.000000:0.000000
(Cot) =   \ { π |      }.:@0.216491:0.272040:0.393711:0.272040:0.393711:0.255543:0.216491:0.255543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.274142:0.270953:0.287447:0.270953:0.287447:0.258091:0.274142:0.258091:0.000000
k:@0.307136:0.272156:0.315381:0.272156:0.315381:0.255687:0.307136:0.255687:0.000000
k:@0.339078:0.272156:0.347323:0.272156:0.347323:0.255687:0.339078:0.255687:0.000000
:@0.351851:0.271823:0.367899:0.271823:0.367899:0.257177:0.351851:0.257177:0.000000
Z:@0.372809:0.270953:0.385100:0.270953:0.385100:0.258091:0.372809:0.258091:0.000000
Determinemos el recorrido de la función cotangente.:@0.108239:0.306742:0.485196:0.306742:0.485196:0.290244:0.108239:0.290244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Obviamente, por definición, :@0.108239:0.341443:0.311890:0.341443:0.311890:0.324946:0.108239:0.324946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Rec:@0.311890:0.341559:0.335719:0.341559:0.335719:0.325090:0.311890:0.325090:0.000000:0.000000:0.000000
(Cot) = {cot( ) | sen( ) ≠ 0}    .:@0.335723:0.341443:0.572607:0.341443:0.572607:0.324946:0.335723:0.324946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.428638:0.341559:0.436112:0.341559:0.436112:0.325090:0.428638:0.325090:0.000000
x:@0.485352:0.341559:0.492827:0.341559:0.492827:0.325090:0.485352:0.325090:0.000000
:@0.536367:0.341226:0.552415:0.341226:0.552415:0.326580:0.536367:0.326580:0.000000
R:@0.556547:0.340356:0.569852:0.340356:0.569852:0.327494:0.556547:0.327494:0.000000
Mostremos que :@0.108237:0.376145:0.225349:0.376145:0.225349:0.359647:0.108237:0.359647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Rec:@0.225349:0.376261:0.249180:0.376261:0.249180:0.359792:0.225349:0.359792:0.000000:0.000000:0.000000
(Cot) =  , es decir que     :@0.249182:0.376145:0.453908:0.376145:0.453908:0.359647:0.249182:0.359647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.306836:0.375058:0.320141:0.375058:0.320141:0.362196:0.306836:0.362196:0.000000
R:@0.416271:0.375058:0.429576:0.375058:0.429576:0.362196:0.416271:0.362196:0.000000
:@0.433718:0.375928:0.449766:0.375928:0.449766:0.361281:0.433718:0.361281:0.000000
Rec:@0.453908:0.376261:0.477739:0.376261:0.477739:0.359792:0.453908:0.359792:0.000000:0.000000:0.000000
(Cot).:@0.477739:0.376145:0.519063:0.376145:0.519063:0.359647:0.477739:0.359647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea      , consideramos la ecuación {      \  π |      }, tal que :@0.108231:0.393496:0.586701:0.393496:0.586701:0.376998:0.108231:0.376998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.136494:0.393611:0.144180:0.393611:0.144180:0.377143:0.136494:0.377143:0.000000
:@0.148708:0.393279:0.164756:0.393279:0.164756:0.378632:0.148708:0.378632:0.000000
R:@0.169669:0.392409:0.182974:0.392409:0.182974:0.379546:0.169669:0.379546:0.000000
x:@0.382982:0.393611:0.390457:0.393611:0.390457:0.377143:0.382982:0.377143:0.000000
:@0.394599:0.393279:0.410647:0.393279:0.410647:0.378632:0.394599:0.378632:0.000000
R:@0.415559:0.392409:0.428864:0.392409:0.428864:0.379546:0.415559:0.379546:0.000000
k:@0.442696:0.393611:0.450942:0.393611:0.450942:0.377143:0.442696:0.377143:0.000000
k:@0.474638:0.393611:0.482884:0.393611:0.482884:0.377143:0.474638:0.377143:0.000000
:@0.487411:0.393279:0.503459:0.393279:0.503459:0.378632:0.487411:0.378632:0.000000
Z:@0.508371:0.392409:0.520662:0.392409:0.520662:0.379546:0.508371:0.379546:0.000000
cot( ) =  .:@0.108231:0.410846:0.180592:0.410846:0.180592:0.394349:0.108231:0.394349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.137630:0.410962:0.145105:0.410962:0.145105:0.394493:0.137630:0.394493:0.000000
y:@0.170150:0.410962:0.177837:0.410962:0.177837:0.394493:0.170150:0.394493:0.000000
Tenemos   =             , donde y  =              .:@0.108231:0.445548:0.399927:0.445548:0.399927:0.429050:0.108231:0.429050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.177045:0.445664:0.184732:0.445664:0.184732:0.429195:0.177045:0.429195:0.000000
2:@0.319280:0.439195:0.324233:0.439195:0.324233:0.429577:0.319280:0.429577:0.000000
De la relación sen ( ) + cos ( ) = 1 se sigue que: :@0.108231:0.480249:0.448437:0.480249:0.448437:0.463752:0.108231:0.463752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.232801:0.473896:0.237754:0.473896:0.237754:0.464278:0.232801:0.464278:0.000000
x:@0.243707:0.480365:0.251182:0.480365:0.251182:0.463896:0.243707:0.463896:0.000000
2:@0.299767:0.473896:0.304720:0.473896:0.304720:0.464278:0.299767:0.464278:0.000000
x:@0.310673:0.480365:0.318148:0.480365:0.318148:0.463896:0.310673:0.463896:0.000000
y:@0.108735:0.504844:0.116422:0.504844:0.116422:0.488375:0.108735:0.488375:0.000000
2:@0.116267:0.498376:0.121220:0.498376:0.121220:0.488758:0.116267:0.488758:0.000000
sen ( ) = cos ( ) :@0.121131:0.504728:0.238335:0.504728:0.238335:0.488230:0.121131:0.488230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.144710:0.498376:0.149663:0.498376:0.149663:0.488758:0.144710:0.488758:0.000000
y:@0.155372:0.504843:0.163059:0.504843:0.163059:0.488375:0.155372:0.488375:0.000000
2:@0.210411:0.498376:0.215364:0.498376:0.215364:0.488758:0.210411:0.488758:0.000000
x:@0.221073:0.504843:0.228548:0.504843:0.228548:0.488375:0.221073:0.488375:0.000000
⇔:@0.238181:0.504222:0.258255:0.504222:0.258255:0.486509:0.238181:0.486509:0.000000
  sen ( ) = 1 – sen ( ) :@0.258101:0.504728:0.418641:0.504728:0.418641:0.488230:0.258101:0.488230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.262089:0.504843:0.269776:0.504843:0.269776:0.488375:0.262089:0.488375:0.000000
2:@0.269621:0.498376:0.274574:0.498376:0.274574:0.488758:0.269621:0.488758:0.000000
2:@0.298065:0.498376:0.303018:0.498376:0.303018:0.488758:0.298065:0.488758:0.000000
x:@0.308727:0.504843:0.316201:0.504843:0.316201:0.488375:0.308727:0.488375:0.000000
2:@0.390717:0.498376:0.395670:0.498376:0.395670:0.488758:0.390717:0.488758:0.000000
x:@0.401379:0.504843:0.408854:0.504843:0.408854:0.488375:0.401379:0.488375:0.000000
⇔:@0.418487:0.504222:0.438561:0.504222:0.438561:0.486509:0.418487:0.486509:0.000000
  sen ( ) + sen ( ) = 1 :@0.438407:0.504728:0.599409:0.504728:0.599409:0.488230:0.438407:0.488230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.442395:0.504843:0.450082:0.504843:0.450082:0.488375:0.442395:0.488375:0.000000
2:@0.449927:0.498376:0.454880:0.498376:0.454880:0.488758:0.449927:0.488758:0.000000
2:@0.478371:0.498376:0.483324:0.498376:0.483324:0.488758:0.478371:0.488758:0.000000
x:@0.489033:0.504843:0.496508:0.504843:0.496508:0.488375:0.489033:0.488375:0.000000
2:@0.544360:0.498376:0.549313:0.498376:0.549313:0.488758:0.544360:0.488758:0.000000
x:@0.555022:0.504843:0.562497:0.504843:0.562497:0.488375:0.555022:0.488375:0.000000
⇔:@0.199636:0.528701:0.219710:0.528701:0.219710:0.510988:0.199636:0.510988:0.000000
 (  + 1)sen ( ) = 1 :@0.219710:0.529207:0.356087:0.529206:0.356087:0.512708:0.219710:0.512709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.229805:0.529322:0.237492:0.529322:0.237492:0.512854:0.229805:0.512854:0.000000
2:@0.237488:0.522854:0.242441:0.522854:0.242441:0.513236:0.237488:0.513236:0.000000
2:@0.300023:0.522854:0.304976:0.522854:0.304976:0.513236:0.300023:0.513236:0.000000
x:@0.310930:0.529322:0.318404:0.529322:0.318404:0.512853:0.310930:0.512853:0.000000
⇔:@0.356087:0.528700:0.376162:0.528700:0.376162:0.510988:0.356087:0.510988:0.000000
 sen ( ) =              .:@0.376162:0.529206:0.504371:0.529206:0.504371:0.512708:0.376162:0.512708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.404345:0.522854:0.409298:0.522854:0.409298:0.513236:0.404345:0.513236:0.000000
x:@0.415250:0.529322:0.422725:0.529322:0.422725:0.512853:0.415250:0.512853:0.000000
Como 0 ≤ sen ( ) ≤ 1,         , 0 ≤              ≤ 1,    :@0.108240:0.563908:0.467926:0.563908:0.467926:0.547410:0.108240:0.547410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.209009:0.557556:0.213962:0.557556:0.213962:0.547938:0.209009:0.547938:0.000000
x:@0.219914:0.564023:0.227389:0.564023:0.227389:0.547555:0.219914:0.547555:0.000000
∀:@0.280252:0.571494:0.291824:0.571494:0.291824:0.552495:0.280252:0.552495:0.000000
x:@0.291833:0.564023:0.299308:0.564023:0.299308:0.547555:0.291833:0.547555:0.000000
:@0.303449:0.563389:0.318101:0.563389:0.318101:0.550016:0.303449:0.550016:0.000000
R :@0.322242:0.562939:0.343723:0.562939:0.343723:0.549492:0.322242:0.549492:0.000000:0.000000
∀:@0.467924:0.571494:0.479496:0.571494:0.479496:0.552495:0.467924:0.552495:0.000000
y:@0.479505:0.564023:0.487192:0.564023:0.487192:0.547555:0.479505:0.547555:0.000000
    , se sigue:@0.487192:0.563908:0.585491:0.563908:0.585491:0.547410:0.487192:0.547410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.491334:0.563389:0.505986:0.563389:0.505986:0.550016:0.491334:0.550016:0.000000
R:@0.510127:0.562939:0.524037:0.562939:0.524037:0.549492:0.510127:0.549492:0.000000
que la ecuación sen ( ) =               tiene solución en   \ { π |      }.:@0.108235:0.595515:0.594668:0.595515:0.594668:0.579017:0.108235:0.579017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.247692:0.589162:0.252645:0.589162:0.252645:0.579544:0.247692:0.579544:0.000000
x:@0.258598:0.595631:0.266073:0.595631:0.266073:0.579162:0.258598:0.579162:0.000000
R:@0.475097:0.594428:0.488402:0.594428:0.488402:0.581566:0.475097:0.581566:0.000000
k:@0.508091:0.595631:0.516337:0.595631:0.516337:0.579162:0.508091:0.579162:0.000000
k:@0.540033:0.595631:0.548278:0.595631:0.548278:0.579162:0.540033:0.579162:0.000000
:@0.552806:0.595298:0.568854:0.595298:0.568854:0.580651:0.552806:0.580651:0.000000
Z:@0.573765:0.594428:0.586057:0.594428:0.586057:0.581566:0.573765:0.581566:0.000000
De todos estos resultados, la función cotangente está definida como :@0.108240:0.633773:0.599926:0.633773:0.599926:0.617276:0.108240:0.617276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sigue: :@0.108240:0.651124:0.150989:0.651124:0.150989:0.634626:0.108240:0.634626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cot::@0.250822:0.683064:0.280623:0.683064:0.280623:0.666566:0.250822:0.666566:0.000000:0.000000:0.000000:0.000000
                                         :@0.280625:0.680548:0.450449:0.680548:0.450449:0.664050:0.280625:0.664050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.450449:0.686838:0.453203:0.686838:0.453203:0.670340:0.450449:0.670340:0.000000
Verifiquemos que es periódica de período π.:@0.108240:0.729506:0.423298:0.729506:0.423298:0.713008:0.108240:0.713008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tenemos cos(  + π) = –cos( ), sen(  + π) = –sen( ),        . Luego,:@0.108240:0.746857:0.595774:0.746860:0.595774:0.730362:0.108240:0.730359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.206358:0.746973:0.213833:0.746973:0.213833:0.730504:0.206358:0.730504:0.000000
x:@0.307597:0.746973:0.315072:0.746973:0.315072:0.730504:0.307597:0.730504:0.000000
x:@0.357723:0.746973:0.365198:0.746973:0.365198:0.730504:0.357723:0.730504:0.000000
x:@0.459615:0.746973:0.467090:0.746973:0.467090:0.730504:0.459615:0.730504:0.000000
∀:@0.487593:0.754446:0.499165:0.754446:0.499165:0.735447:0.487593:0.735447:0.000000
x:@0.499172:0.746976:0.506647:0.746976:0.506647:0.730507:0.499172:0.730507:0.000000
:@0.510594:0.746341:0.525246:0.746341:0.525246:0.732968:0.510594:0.732968:0.000000
R:@0.529195:0.745891:0.543104:0.745891:0.543104:0.732444:0.529195:0.732444:0.000000
cot(  + π) =                     =                =              = cot( ), :@0.108230:0.774896:0.493034:0.774896:0.493034:0.758398:0.108230:0.758398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.137628:0.775012:0.145103:0.775012:0.145103:0.758543:0.137628:0.758543:0.000000
x:@0.472709:0.775012:0.480184:0.775012:0.480184:0.758543:0.472709:0.758543:0.000000
x:@0.108230:0.806619:0.115705:0.806619:0.115705:0.790150:0.108230:0.790150:0.000000
     \ { π |      }.:@0.115705:0.806503:0.260381:0.806510:0.260381:0.790013:0.115705:0.790006:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.119847:0.806286:0.135895:0.806286:0.135895:0.791639:0.119847:0.791639:0.000000
R:@0.140810:0.805423:0.154115:0.805423:0.154115:0.792561:0.140810:0.792561:0.000000
k:@0.173804:0.806626:0.182049:0.806626:0.182049:0.790157:0.173804:0.790157:0.000000
k:@0.205745:0.806626:0.213991:0.806626:0.213991:0.790157:0.205745:0.790157:0.000000
:@0.218518:0.806293:0.234566:0.806293:0.234566:0.791646:0.218518:0.791646:0.000000
Z:@0.239478:0.805423:0.251769:0.805423:0.251769:0.792561:0.239478:0.792561:0.000000
 :@0.108243:0.823861:0.112385:0.823861:0.112385:0.807363:0.108243:0.807363:0.000000
La función cotangente es impar. En efecto, :@0.108243:0.841212:0.411977:0.841212:0.411977:0.824714:0.108243:0.824714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 cot(– ) =                =                = –              = –cot( ),       \ { π |      }.:@0.108243:0.869248:0.595769:0.869255:0.595769:0.852757:0.108243:0.852750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.149933:0.869363:0.157408:0.869363:0.157408:0.852895:0.149933:0.852895:0.000000
x x:@0.434558:0.869363:0.460971:0.869363:0.460971:0.852895:0.434558:0.852895:0.000000:0.000000:0.000000
:@0.464304:0.869031:0.480352:0.869031:0.480352:0.854384:0.464304:0.854384:0.000000
R:@0.483693:0.868168:0.496998:0.868168:0.496998:0.855305:0.483693:0.855305:0.000000
k:@0.514698:0.869370:0.522944:0.869370:0.522944:0.852901:0.514698:0.852901:0.000000
k:@0.544636:0.869370:0.552882:0.869370:0.552882:0.852901:0.544636:0.852901:0.000000
:@0.556215:0.869038:0.572263:0.869038:0.572263:0.854391:0.556215:0.854391:0.000000
Z:@0.575620:0.868168:0.587911:0.868168:0.587911:0.855305:0.575620:0.855305:0.000000
En la Figura 5.11., se muestra el gráfico de la función cotangente y su :@0.108242:0.903956:0.594091:0.903956:0.594091:0.887458:0.108242:0.887458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
grafo se define como sigue::@0.108242:0.921307:0.300452:0.921307:0.300452:0.904809:0.108242:0.904809:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
G:@0.181142:0.945901:0.192586:0.945901:0.192586:0.929433:0.181142:0.929433:0.000000
(Cot) = {( , cot( ))     | :@0.192586:0.945786:0.381848:0.945785:0.381848:0.929288:0.192586:0.929288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.262056:0.945901:0.269531:0.945901:0.269531:0.929433:0.262056:0.929433:0.000000
x:@0.305827:0.945901:0.313302:0.945901:0.313302:0.929433:0.305827:0.929433:0.000000
:@0.329350:0.945569:0.345398:0.945569:0.345398:0.930922:0.329350:0.930922:0.000000
R:@0.350298:0.944698:0.363603:0.944698:0.363603:0.931836:0.350298:0.931836:0.000000
2:@0.363603:0.939433:0.368556:0.939433:0.368556:0.929815:0.363603:0.929815:0.000000
x :@0.381848:0.945901:0.393465:0.945901:0.393465:0.929432:0.381848:0.929432:0.000000:0.000000
:@0.393464:0.945267:0.408117:0.945267:0.408117:0.931893:0.393464:0.931893:0.000000
  \{ π |      }}.:@0.408118:0.945785:0.522869:0.945785:0.522869:0.929288:0.408118:0.929288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.412259:0.944698:0.425564:0.944698:0.425564:0.931836:0.412259:0.931836:0.000000
k:@0.436198:0.945901:0.444444:0.945901:0.444444:0.929432:0.436198:0.929432:0.000000
k:@0.466213:0.945901:0.474459:0.945901:0.474459:0.929432:0.466213:0.929432:0.000000
:@0.477830:0.945568:0.493878:0.945568:0.493878:0.930921:0.477830:0.930921:0.000000
Z:@0.497249:0.944698:0.509540:0.944698:0.509540:0.931836:0.497249:0.931836:0.000000
cos( ):@0.315117:0.131301:0.358040:0.131301:0.358040:0.114803:0.315117:0.114803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.344612:0.131416:0.352087:0.131416:0.352087:0.114947:0.344612:0.114947:0.000000
sen( ):@0.314866:0.147639:0.358290:0.147639:0.358290:0.131142:0.314866:0.131142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.344862:0.147755:0.352337:0.147755:0.352337:0.131286:0.344862:0.131286:0.000000
cos( ):@0.207690:0.438458:0.250613:0.438458:0.250613:0.421960:0.207690:0.421960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.237185:0.438574:0.244660:0.438574:0.244660:0.422105:0.237185:0.422105:0.000000
sen( ):@0.207440:0.454797:0.250864:0.454797:0.250864:0.438299:0.207440:0.438299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.237436:0.454912:0.244911:0.454912:0.244911:0.438443:0.237436:0.438443:0.000000
cos ( ):@0.344681:0.438458:0.392556:0.438458:0.392556:0.421960:0.344681:0.421960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.368224:0.432105:0.373177:0.432105:0.373177:0.422487:0.368224:0.422487:0.000000
x:@0.379129:0.438574:0.386603:0.438574:0.386603:0.422105:0.379129:0.422105:0.000000
sen ( ):@0.344432:0.454797:0.392808:0.454803:0.392808:0.438305:0.344432:0.438299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.368473:0.448450:0.373426:0.448450:0.373426:0.438832:0.368473:0.438832:0.000000
x:@0.379380:0.454919:0.386855:0.454919:0.386855:0.438450:0.379380:0.438450:0.000000
1:@0.469106:0.521984:0.477602:0.521984:0.477602:0.505487:0.469106:0.505487:0.000000
y:@0.453232:0.538439:0.460919:0.538439:0.460919:0.521970:0.453232:0.521970:0.000000
2:@0.460928:0.531977:0.465881:0.531977:0.465881:0.522359:0.460928:0.522359:0.000000
 + 1:@0.465880:0.538329:0.493468:0.538329:0.493468:0.521831:0.465880:0.521831:0.000000:0.000000:0.000000:0.000000
1:@0.390792:0.556268:0.399288:0.556268:0.399288:0.539771:0.390792:0.539771:0.000000
y:@0.374918:0.572723:0.382605:0.572723:0.382605:0.556254:0.374918:0.556254:0.000000
2:@0.382612:0.566260:0.387565:0.566260:0.387565:0.556642:0.382612:0.556642:0.000000
 + 1:@0.387566:0.572613:0.415154:0.572613:0.415154:0.556116:0.387566:0.556116:0.000000:0.000000:0.000000:0.000000
1:@0.310947:0.588343:0.319443:0.588343:0.319443:0.571846:0.310947:0.571846:0.000000
y:@0.295073:0.604798:0.302759:0.604798:0.302759:0.588329:0.295073:0.588329:0.000000
2:@0.302769:0.598336:0.307722:0.598336:0.307722:0.588718:0.302769:0.588718:0.000000
 + 1:@0.307722:0.604688:0.335310:0.604688:0.335310:0.588191:0.307722:0.588191:0.000000:0.000000:0.000000:0.000000
R:@0.297247:0.669053:0.310552:0.669053:0.310552:0.656190:0.297247:0.656190:0.000000
 \  π |          ,:@0.310552:0.670140:0.441679:0.670140:0.441679:0.653642:0.310552:0.653642:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.324384:0.670255:0.332630:0.670255:0.332630:0.653786:0.324384:0.653786:0.000000
k:@0.356326:0.670255:0.364572:0.670255:0.364572:0.653786:0.356326:0.653786:0.000000
:@0.368714:0.669923:0.384762:0.669923:0.384762:0.655276:0.368714:0.655276:0.000000
Z:@0.388903:0.669053:0.401194:0.669053:0.401194:0.656190:0.388903:0.656190:0.000000
→:@0.405336:0.678238:0.421480:0.678238:0.421480:0.658376:0.405336:0.658376:0.000000
R:@0.425619:0.669053:0.438924:0.669053:0.438924:0.656190:0.425619:0.656190:0.000000
x:@0.297247:0.694734:0.304722:0.694734:0.304722:0.678265:0.297247:0.678265:0.000000
   cot( ) = :@0.304722:0.694619:0.391069:0.694619:0.391069:0.678121:0.304722:0.678121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
→:@0.308864:0.702717:0.325008:0.702717:0.325008:0.682855:0.308864:0.682855:0.000000
x:@0.358549:0.694734:0.366024:0.694734:0.366024:0.678265:0.358549:0.678265:0.000000
cos( ):@0.394448:0.687117:0.437371:0.687117:0.437371:0.670619:0.394448:0.670619:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.423943:0.687233:0.431418:0.687233:0.431418:0.670764:0.423943:0.670764:0.000000
sen( ):@0.394197:0.703456:0.437621:0.703456:0.437621:0.686958:0.394197:0.686958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.424193:0.703571:0.431668:0.703571:0.431668:0.687102:0.424193:0.687102:0.000000
cos( ):@0.377615:0.767831:0.420538:0.767831:0.420538:0.751333:0.377615:0.751333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.407110:0.767946:0.414585:0.767946:0.414585:0.751477:0.407110:0.751477:0.000000
sen( ):@0.377364:0.784169:0.420788:0.784169:0.420788:0.767672:0.377364:0.767672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.407361:0.784285:0.414835:0.784285:0.414835:0.767816:0.407361:0.767816:0.000000
–cos( ):@0.299222:0.767831:0.352645:0.767831:0.352645:0.751333:0.299222:0.751333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.339217:0.767946:0.346692:0.767946:0.346692:0.751477:0.339217:0.751477:0.000000
–sen( ):@0.298895:0.784169:0.352972:0.784169:0.352972:0.767672:0.298895:0.767672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.339544:0.784285:0.347019:0.784285:0.347019:0.767816:0.339544:0.767816:0.000000
cos(  + π):@0.203259:0.767831:0.273751:0.767831:0.273751:0.751333:0.203259:0.751333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.232754:0.767946:0.240229:0.767946:0.240229:0.751477:0.232754:0.751477:0.000000
sen(  + π):@0.203009:0.785181:0.274001:0.785181:0.274001:0.768684:0.203009:0.768684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.233005:0.785297:0.240480:0.785297:0.240480:0.768828:0.233005:0.768828:0.000000
cos( ):@0.335458:0.862445:0.378381:0.862445:0.378381:0.845947:0.335458:0.845947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.364953:0.862561:0.372428:0.862561:0.372428:0.846092:0.364953:0.846092:0.000000
sen( ):@0.335207:0.878784:0.378631:0.878784:0.378631:0.862286:0.335207:0.862286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.365203:0.878899:0.372678:0.878899:0.372678:0.862431:0.365203:0.862431:0.000000
cos( ):@0.259452:0.862445:0.302375:0.862445:0.302375:0.845947:0.259452:0.845947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.288947:0.862561:0.296422:0.862561:0.296422:0.846092:0.288947:0.846092:0.000000
–sen( ):@0.253884:0.878784:0.307962:0.878784:0.307962:0.862286:0.253884:0.862286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.294534:0.878899:0.302009:0.878899:0.302009:0.862431:0.294534:0.862431:0.000000
cos(– ):@0.180729:0.862445:0.234152:0.862445:0.234152:0.845947:0.180729:0.845947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.220724:0.862561:0.228199:0.862561:0.228199:0.846092:0.220724:0.846092:0.000000
sen(– ):@0.180479:0.878784:0.234402:0.878784:0.234402:0.862286:0.180479:0.862286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.220974:0.878899:0.228449:0.878899:0.228449:0.862431:0.220974:0.862431:0.000000
p:@0.787313:0.934427:0.798794:0.934427:0.798794:0.924403:0.787313:0.924403:0.000000
 :@0.798794:0.935135:0.801675:0.935135:0.801675:0.923659:0.798794:0.923659:0.000000
Figura 5.11.:@0.801675:0.935135:0.856154:0.935135:0.856154:0.923659:0.801675:0.923659:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.847454:0.858078:0.852004:0.858078:0.852004:0.848053:0.847454:0.848053:0.000000
y:@0.709302:0.781957:0.713981:0.781957:0.713981:0.771933:0.709302:0.771933:0.000000
y:@0.722939:0.801795:0.727167:0.801795:0.727167:0.792737:0.722939:0.792737:0.000000
 = cot( ):@0.727167:0.801732:0.759526:0.801732:0.759526:0.792658:0.727167:0.792658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.752141:0.801795:0.756252:0.801795:0.756252:0.792737:0.752141:0.792737:0.000000
π:@0.756269:0.854520:0.760951:0.854520:0.760951:0.847096:0.756269:0.847096:0.000000
0:@0.720364:0.853001:0.724058:0.853001:0.724058:0.845828:0.720364:0.845828:0.000000
3π:@0.773751:0.854520:0.782255:0.854520:0.782255:0.847096:0.773751:0.847096:0.000000:0.000000
2:@0.776109:0.860806:0.779932:0.860806:0.779932:0.853382:0.776109:0.853382:0.000000
5π:@0.812626:0.854520:0.821131:0.854520:0.821131:0.847096:0.812626:0.847096:0.000000:0.000000
2:@0.814984:0.860806:0.818807:0.860806:0.818807:0.853382:0.814984:0.853382:0.000000
2π:@0.793016:0.854520:0.801521:0.854520:0.801521:0.847096:0.793016:0.847096:0.000000:0.000000
3π:@0.832175:0.854520:0.840680:0.854520:0.840680:0.847096:0.832175:0.847096:0.000000:0.000000
π:@0.696777:0.854520:0.701458:0.854520:0.701458:0.847096:0.696777:0.847096:0.000000
2:@0.697201:0.860806:0.701025:0.860806:0.701025:0.853382:0.697201:0.853382:0.000000
π:@0.736800:0.854520:0.741481:0.854520:0.741481:0.847096:0.736800:0.847096:0.000000
2:@0.737225:0.860806:0.741048:0.860806:0.741048:0.853382:0.737225:0.853382:0.000000
3π:@0.655742:0.854520:0.664246:0.854520:0.664246:0.847096:0.655742:0.847096:0.000000:0.000000
2:@0.658082:0.860806:0.661905:0.860806:0.661905:0.853382:0.658082:0.853382:0.000000
–π:@0.674918:0.854520:0.684325:0.854520:0.684325:0.847096:0.674918:0.847096:0.000000:0.000000
–2π:@0.633669:0.854520:0.646899:0.854520:0.646899:0.847096:0.633669:0.847096:0.000000:0.000000:0.000000
–:@0.690696:0.857338:0.695421:0.857338:0.695421:0.849914:0.690696:0.849914:0.000000
–:@0.650505:0.857338:0.655230:0.857338:0.655230:0.849914:0.650505:0.849914:0.000000
Las características de la :@0.685042:0.133028:0.837315:0.133028:0.837315:0.117965:0.685042:0.117965:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función tangente son::@0.638498:0.148870:0.779428:0.148870:0.779428:0.133807:0.638498:0.133807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.638498:0.172039:0.649703:0.172039:0.649703:0.156778:0.638498:0.156778:0.000000:0.000000
 Dominio::@0.649702:0.171841:0.715876:0.171841:0.715876:0.156778:0.649702:0.156778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.638498:0.187683:0.642280:0.187683:0.642280:0.172620:0.638498:0.172620:0.000000
Dom:@0.655120:0.187789:0.687275:0.187789:0.687275:0.172752:0.655120:0.172752:0.000000:0.000000:0.000000
(Tan) =:@0.687275:0.187683:0.735278:0.187683:0.735278:0.172620:0.687275:0.172620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.638498:0.210654:0.642280:0.210654:0.642280:0.195591:0.638498:0.195591:0.000000
2.:@0.638498:0.235606:0.649703:0.235606:0.649703:0.220345:0.638498:0.220345:0.000000:0.000000
 Recorrido::@0.649702:0.235408:0.721346:0.235408:0.721346:0.220345:0.649702:0.220345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.638498:0.251250:0.646061:0.251250:0.646061:0.236187:0.638498:0.236187:0.000000:0.000000
Rec:@0.655120:0.251355:0.676879:0.251355:0.676879:0.236319:0.655120:0.236319:0.000000:0.000000:0.000000
(Tan) =  .:@0.676879:0.251250:0.743277:0.251246:0.743277:0.236183:0.676879:0.236187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.728666:0.250243:0.740762:0.250243:0.740762:0.238550:0.728666:0.238550:0.000000
3.:@0.638511:0.274415:0.649716:0.274415:0.649716:0.259154:0.638511:0.259154:0.000000:0.000000
 El período es π.:@0.649716:0.274217:0.754252:0.274217:0.754252:0.259154:0.649716:0.259154:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4.:@0.638511:0.297386:0.649716:0.297386:0.649716:0.282125:0.638511:0.282125:0.000000:0.000000
 La función tangente es impar.:@0.649716:0.297188:0.846159:0.297188:0.846159:0.282125:0.649716:0.282125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5.:@0.638511:0.320357:0.649716:0.320357:0.649716:0.305095:0.638511:0.305095:0.000000:0.000000
 El período de la función :@0.649716:0.320158:0.813827:0.320158:0.813827:0.305095:0.649716:0.305095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tangente   =  tan( ) es la :@0.655133:0.336000:0.834444:0.336000:0.834444:0.320937:0.655133:0.320937:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y A:@0.716801:0.336106:0.751541:0.336106:0.751541:0.321069:0.716801:0.321069:0.000000:0.000000:0.000000
Bx:@0.778686:0.336106:0.793901:0.336106:0.793901:0.321069:0.778686:0.321069:0.000000:0.000000
distancia entre dos asíntotas :@0.655133:0.351842:0.842467:0.351842:0.842467:0.336779:0.655133:0.336779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
verticales.:@0.655133:0.367684:0.718085:0.367684:0.718085:0.352621:0.655133:0.352621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.638512:0.390655:0.642294:0.390655:0.642294:0.375592:0.638512:0.375592:0.000000
T:@0.655133:0.390761:0.664087:0.390761:0.664087:0.375724:0.655133:0.375724:0.000000
 =        .:@0.664087:0.390655:0.710507:0.390655:0.710507:0.375592:0.664087:0.375592:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las características de la función :@0.638511:0.429468:0.844485:0.429468:0.844485:0.414405:0.638511:0.414405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cotangente son::@0.638511:0.445310:0.741375:0.445310:0.741375:0.430247:0.638511:0.430247:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.638511:0.468479:0.649716:0.468479:0.649716:0.453218:0.638511:0.453218:0.000000:0.000000
 Dominio::@0.649716:0.468281:0.715889:0.468281:0.715889:0.453218:0.649716:0.453218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.638512:0.484123:0.642294:0.484123:0.642294:0.469060:0.638512:0.469060:0.000000
Dom:@0.655133:0.484229:0.687288:0.484229:0.687288:0.469192:0.655133:0.469192:0.000000:0.000000:0.000000
(Cot) =:@0.687288:0.484123:0.736153:0.484123:0.736153:0.469060:0.687288:0.469060:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.638512:0.507094:0.642294:0.507094:0.642294:0.492031:0.638512:0.492031:0.000000
2.:@0.638512:0.530263:0.649717:0.530263:0.649717:0.515002:0.638512:0.515002:0.000000:0.000000
 Recorrido::@0.649716:0.530065:0.721360:0.530065:0.721360:0.515002:0.649716:0.515002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.638511:0.545907:0.646075:0.545907:0.646075:0.530844:0.638511:0.530844:0.000000:0.000000
Rec:@0.655133:0.546013:0.676892:0.546013:0.676892:0.530976:0.655133:0.530976:0.000000:0.000000:0.000000
(Cot) =  .:@0.676892:0.545907:0.744138:0.545901:0.744138:0.530838:0.676892:0.530844:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.729529:0.544898:0.741624:0.544898:0.741624:0.533205:0.729529:0.533205:0.000000
3.:@0.638510:0.569070:0.649715:0.569070:0.649715:0.553808:0.638510:0.553808:0.000000:0.000000
 El período es π.:@0.649716:0.568871:0.754252:0.568871:0.754252:0.553808:0.649716:0.553808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4.:@0.638511:0.592040:0.649716:0.592040:0.649716:0.576779:0.638511:0.576779:0.000000:0.000000
 La función cotangente es :@0.649716:0.591842:0.821992:0.591842:0.821992:0.576779:0.649716:0.576779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
impar.:@0.655133:0.607684:0.695010:0.607684:0.695010:0.592621:0.655133:0.592621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.655110:0.209267:0.667257:0.209267:0.667257:0.197523:0.655110:0.197523:0.000000
 \        +  π |        .:@0.667257:0.210259:0.801267:0.210259:0.801267:0.195196:0.667257:0.195196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.720007:0.210365:0.727535:0.210365:0.727535:0.195328:0.720007:0.195328:0.000000
k:@0.749170:0.210365:0.756698:0.210365:0.756698:0.195328:0.749170:0.195328:0.000000
:@0.760832:0.210061:0.775483:0.210061:0.775483:0.196688:0.760832:0.196688:0.000000
Z:@0.779966:0.209267:0.791188:0.209267:0.791188:0.197523:0.779966:0.197523:0.000000
π:@0.691558:0.203322:0.701056:0.203322:0.701056:0.188260:0.691558:0.188260:0.000000
2:@0.692420:0.218240:0.700177:0.218240:0.700177:0.203177:0.692420:0.203177:0.000000
R:@0.655110:0.506065:0.667257:0.506065:0.667257:0.494322:0.655110:0.494322:0.000000
 \     π |        .:@0.667257:0.507057:0.772491:0.507057:0.772491:0.491995:0.667257:0.491995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.691231:0.507163:0.698759:0.507163:0.698759:0.492127:0.691231:0.492127:0.000000
k:@0.720394:0.507163:0.727922:0.507163:0.727922:0.492127:0.720394:0.492127:0.000000
:@0.732056:0.506859:0.746707:0.506859:0.746707:0.493487:0.732056:0.493487:0.000000
Z:@0.751190:0.506065:0.762412:0.506065:0.762412:0.494322:0.751190:0.494322:0.000000
π:@0.688049:0.383766:0.697547:0.383766:0.697547:0.368704:0.688049:0.368704:0.000000
| |:@0.683862:0.398684:0.701751:0.398684:0.701751:0.383621:0.683862:0.383621:0.000000:0.000000:0.000000
B:@0.688611:0.398789:0.697001:0.398789:0.697001:0.383753:0.688611:0.383753:0.000000
Competencia :@0.684804:0.095916:0.782426:0.095916:0.782426:0.080444:0.684804:0.080444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.684804:0.108484:0.768866:0.108484:0.768866:0.093012:0.684804:0.093012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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