﻿48:@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
1.  Completa la tabla que se presenta en cada ejercicio. Luego, traza la gráfica de la función seno que se define :@0.073089:0.136836:0.930186:0.136836:0.930186:0.120167:0.073089:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para el efecto. Obtén algunos valores de la función.:@0.103214:0.153478:0.489398:0.153478:0.489398:0.136808:0.103214:0.136808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a. :@0.099889:0.184415:0.115333:0.184415:0.115333:0.168703:0.099889:0.168703:0.000000:0.000000:0.000000
f x:@0.130091:0.184415:0.146970:0.184415:0.146970:0.168980:0.130091:0.168980:0.000000:0.000000:0.000000
( )   :@0.134711:0.184415:0.174913:0.184415:0.174913:0.168703:0.134711:0.168703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.155640:0.183861:0.170973:0.183861:0.170973:0.170145:0.155640:0.170145:0.000000
Sen x:@0.174839:0.184415:0.225312:0.184415:0.225312:0.168980:0.174839:0.168980:0.000000:0.000000:0.000000:0.000000:0.000000
 (2 ),    :@0.200204:0.184415:0.249075:0.184415:0.249075:0.168703:0.200204:0.168703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
;:@0.248965:0.183861:0.261243:0.183861:0.261243:0.170145:0.248965:0.170145:0.000000
x:@0.261151:0.184415:0.268606:0.184415:0.268606:0.168980:0.261151:0.168980:0.000000
    .:@0.268532:0.184415:0.308089:0.184415:0.308089:0.168703:0.268532:0.168703:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.272489:0.184277:0.287823:0.184277:0.287823:0.170228:0.272489:0.170228:0.000000
R:@0.291688:0.183556:0.304978:0.183556:0.304978:0.170658:0.291688:0.170658:0.000000
Amplitud:@0.175539:0.230396:0.247324:0.230396:0.247324:0.213727:0.175539:0.213727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Período:@0.340781:0.230396:0.399879:0.230396:0.399879:0.213727:0.340781:0.213727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Frecuencia:@0.488186:0.230396:0.570310:0.230396:0.570310:0.213727:0.488186:0.213727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recorrido de  ( ):@0.625946:0.230396:0.750324:0.230396:0.750324:0.213727:0.625946:0.213727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.726763:0.230396:0.745170:0.230396:0.745170:0.213713:0.726763:0.213713:0.000000:0.000000:0.000000
Función par :@0.802012:0.222075:0.895962:0.222075:0.895962:0.205406:0.802012:0.205406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o impar:@0.817750:0.238717:0.876340:0.238717:0.876340:0.222047:0.817750:0.222047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b.  ( )   2 :@0.099889:0.326454:0.187779:0.326454:0.187779:0.310741:0.099889:0.310741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.130091:0.326454:0.146971:0.326454:0.146971:0.311018:0.130091:0.311018:0.000000:0.000000:0.000000
5:@0.155640:0.325899:0.170974:0.325899:0.170974:0.312183:0.155640:0.312183:0.000000
Sen x:@0.187687:0.326454:0.238160:0.326454:0.238160:0.311018:0.187687:0.311018:0.000000:0.000000:0.000000:0.000000:0.000000
 (3 ),    :@0.213053:0.326454:0.261924:0.326454:0.261924:0.310741:0.213053:0.310741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
;:@0.261813:0.325899:0.274091:0.325899:0.274091:0.312183:0.261813:0.312183:0.000000
x:@0.273999:0.326454:0.281454:0.326454:0.281454:0.311018:0.273999:0.311018:0.000000
    .:@0.281380:0.326454:0.320937:0.326454:0.320937:0.310741:0.281380:0.310741:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.285338:0.326315:0.300671:0.326315:0.300671:0.312266:0.285338:0.312266:0.000000
R:@0.304537:0.325594:0.317827:0.325594:0.317827:0.312696:0.304537:0.312696:0.000000
Amplitud:@0.175539:0.372435:0.247324:0.372435:0.247324:0.355766:0.175539:0.355766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Período:@0.340781:0.372435:0.399879:0.372435:0.399879:0.355766:0.340781:0.355766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Frecuencia:@0.488186:0.372435:0.570310:0.372435:0.570310:0.355766:0.488186:0.355766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recorrido de  ( ):@0.625946:0.372435:0.750324:0.372435:0.750324:0.355766:0.625946:0.355766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.726763:0.372435:0.745170:0.372435:0.745170:0.355752:0.726763:0.355752:0.000000:0.000000:0.000000
Función par :@0.802012:0.364115:0.895962:0.364115:0.895962:0.347445:0.802012:0.347445:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o impar:@0.817750:0.380756:0.876340:0.380756:0.876340:0.364087:0.817750:0.364087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c. :@0.099889:0.468493:0.114965:0.468493:0.114965:0.452780:0.099889:0.452780:0.000000:0.000000:0.000000
f x:@0.133331:0.468493:0.150210:0.468493:0.150210:0.453058:0.133331:0.453058:0.000000:0.000000:0.000000
( )   2 :@0.137951:0.468493:0.191019:0.468493:0.191019:0.452780:0.137951:0.452780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.158880:0.467938:0.174213:0.467938:0.174213:0.454222:0.158880:0.454222:0.000000
Sen x:@0.190927:0.468493:0.232491:0.468493:0.232491:0.453058:0.190927:0.453058:0.000000:0.000000:0.000000:0.000000:0.000000
 (     ),    :@0.216292:0.468493:0.291597:0.468493:0.291597:0.452780:0.216292:0.452780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 p:@0.236375:0.467938:0.267851:0.467938:0.267851:0.454222:0.236375:0.454222:0.000000:0.000000:0.000000
;:@0.291486:0.467938:0.303764:0.467938:0.303764:0.454222:0.291486:0.454222:0.000000
x:@0.303672:0.468493:0.311127:0.468493:0.311127:0.453058:0.303672:0.453058:0.000000
   :@0.311053:0.468493:0.334283:0.468493:0.334283:0.452780:0.311053:0.452780:0.000000:0.000000:0.000000
[:@0.315011:0.468354:0.330344:0.468354:0.330344:0.454306:0.315011:0.454306:0.000000
R:@0.334209:0.467633:0.347499:0.467633:0.347499:0.454736:0.334209:0.454736:0.000000
Amplitud:@0.162731:0.514473:0.234516:0.514473:0.234516:0.497804:0.162731:0.497804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Período:@0.301411:0.514473:0.360510:0.514473:0.360510:0.497804:0.301411:0.497804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desfase:@0.433723:0.514473:0.492878:0.514473:0.492878:0.497804:0.433723:0.497804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Frecuencia:@0.554585:0.514473:0.636709:0.514473:0.636709:0.497804:0.554585:0.497804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recorrido de :@0.679441:0.506153:0.780442:0.506153:0.780442:0.489483:0.679441:0.489483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.716182:0.522794:0.734589:0.522794:0.734589:0.506111:0.716182:0.506111:0.000000:0.000000:0.000000
( ):@0.721318:0.522794:0.739743:0.522794:0.739743:0.506125:0.721318:0.506125:0.000000:0.000000:0.000000
Función par :@0.815287:0.506153:0.909237:0.506153:0.909237:0.489483:0.815287:0.489483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o impar:@0.831025:0.522794:0.889615:0.522794:0.889615:0.506125:0.831025:0.506125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.  Completa la tabla que se presenta en cada ejercicio. Luego, traza la gráfica de la función coseno que se define :@0.073089:0.610531:0.931123:0.610531:0.931123:0.593861:0.073089:0.593861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para el efecto. Obtén algunos valores de la función.:@0.103214:0.627173:0.489399:0.627173:0.489399:0.610503:0.103214:0.610503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a. :@0.099889:0.658110:0.115333:0.658110:0.115333:0.642397:0.099889:0.642397:0.000000:0.000000:0.000000
f x:@0.130091:0.658110:0.146971:0.658110:0.146971:0.642675:0.130091:0.642675:0.000000:0.000000:0.000000
( )   Cos (2 )   1,    :@0.134711:0.658110:0.282540:0.658110:0.282540:0.642397:0.134711:0.642397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.155640:0.657555:0.170974:0.657555:0.170974:0.643840:0.155640:0.643840:0.000000
x:@0.219274:0.658110:0.226729:0.658110:0.226729:0.642675:0.219274:0.642675:0.000000
1:@0.235399:0.657555:0.250732:0.657555:0.250732:0.643840:0.235399:0.643840:0.000000
;:@0.282411:0.657555:0.294689:0.657555:0.294689:0.643840:0.282411:0.643840:0.000000
x:@0.294597:0.658110:0.302052:0.658110:0.302052:0.642675:0.294597:0.642675:0.000000
    .:@0.301978:0.658110:0.341535:0.658110:0.341535:0.642397:0.301978:0.642397:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.305936:0.657971:0.321269:0.657971:0.321269:0.643923:0.305936:0.643923:0.000000
R:@0.325134:0.657250:0.338424:0.657250:0.338424:0.644353:0.325134:0.644353:0.000000
Amplitud:@0.163206:0.704092:0.234991:0.704092:0.234991:0.687422:0.163206:0.687422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Período:@0.301886:0.704092:0.360985:0.704092:0.360985:0.687422:0.301886:0.687422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desplazamiento :@0.404691:0.695771:0.532018:0.695771:0.532018:0.679102:0.404691:0.679102:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vertical:@0.438542:0.712413:0.494233:0.712413:0.494233:0.695743:0.438542:0.695743:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Frecuencia:@0.557434:0.704092:0.639558:0.704092:0.639558:0.687422:0.557434:0.687422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recorrido de :@0.679438:0.695771:0.780438:0.695771:0.780438:0.679102:0.679438:0.679102:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.716179:0.712413:0.734586:0.712413:0.734586:0.695730:0.716179:0.695730:0.000000:0.000000:0.000000
( ):@0.721314:0.712413:0.739740:0.712413:0.739740:0.695743:0.721314:0.695743:0.000000:0.000000:0.000000
Función par :@0.815283:0.695771:0.909234:0.695771:0.909234:0.679102:0.815283:0.679102:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o impar:@0.831021:0.712413:0.889612:0.712413:0.889612:0.695743:0.831021:0.695743:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b.  ( ) = 3 cos:@0.099889:0.806017:0.208378:0.806106:0.208378:0.790394:0.099889:0.790304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.130091:0.806017:0.146970:0.806017:0.146970:0.790582:0.130091:0.790582:0.000000:0.000000:0.000000
1:@0.215943:0.799616:0.224926:0.799616:0.224926:0.783904:0.215943:0.783904:0.000000
2:@0.215704:0.813332:0.224686:0.813332:0.224686:0.797619:0.215704:0.797619:0.000000
1:@0.210314:0.807205:0.214772:0.807205:0.214772:0.787945:0.210314:0.787945:0.000000
x:@0.228433:0.806258:0.235888:0.806258:0.235888:0.790822:0.228433:0.790822:0.000000
2:@0.235888:0.805968:0.252615:0.805968:0.252615:0.791005:0.235888:0.791005:0.000000
2:@0.270639:0.807719:0.275097:0.807719:0.275097:0.788460:0.270639:0.788460:0.000000
p:@0.258131:0.797769:0.270408:0.797769:0.270408:0.784054:0.258131:0.784054:0.000000
2:@0.257891:0.812040:0.266874:0.812040:0.266874:0.796327:0.257891:0.796327:0.000000
 ,    :@0.275017:0.806017:0.298008:0.806017:0.298008:0.790304:0.275017:0.790304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
;:@0.297897:0.805462:0.310175:0.805462:0.310175:0.791747:0.297897:0.791747:0.000000
x:@0.310083:0.806017:0.317538:0.806017:0.317538:0.790582:0.310083:0.790582:0.000000
    .:@0.317464:0.806017:0.357021:0.806017:0.357021:0.790304:0.317464:0.790304:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.321422:0.805878:0.336755:0.805878:0.336755:0.791830:0.321422:0.791830:0.000000
R:@0.340620:0.805157:0.353910:0.805157:0.353910:0.792260:0.340620:0.792260:0.000000
Amplitud:@0.162731:0.851999:0.234516:0.851999:0.234516:0.835329:0.162731:0.835329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Período:@0.301411:0.851999:0.360510:0.851999:0.360510:0.835329:0.301411:0.835329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desfase:@0.433723:0.851999:0.492878:0.851999:0.492878:0.835329:0.433723:0.835329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Frecuencia:@0.554585:0.851999:0.636709:0.851999:0.636709:0.835329:0.554585:0.835329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recorrido de :@0.679441:0.843678:0.780442:0.843678:0.780442:0.827008:0.679441:0.827008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.716182:0.860320:0.734589:0.860320:0.734589:0.843636:0.716182:0.843636:0.000000:0.000000:0.000000
( ):@0.721318:0.860320:0.739743:0.860320:0.739743:0.843650:0.721318:0.843650:0.000000:0.000000:0.000000
Función par :@0.815287:0.843678:0.909237:0.843678:0.909237:0.827008:0.815287:0.827008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o impar:@0.831025:0.860320:0.889615:0.860320:0.889615:0.843650:0.831025:0.843650:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Evaluación formativa:@0.131433:0.098522:0.446328:0.098522:0.446328:0.067281:0.131433:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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