110:@0.067867:0.963104:0.109245:0.963104:0.109245:0.941283:0.067867:0.941283:0.000000:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.º BG:@0.120102:0.967458:0.162238:0.967458:0.162238:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
isposición y compromiso:@0.306727:0.140863:0.485691:0.140863:0.485691:0.125499:0.306727:0.125499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.284763:0.141649:0.297589:0.141649:0.297589:0.124513:0.284763:0.124513:0.000000
¿Sabes qué es la :@0.136146:0.192000:0.247834:0.192000:0.247834:0.177101:0.136146:0.177101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pendiente de una recta?:@0.081466:0.207088:0.244162:0.207088:0.244162:0.192189:0.081466:0.192189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.108521:0.163125:0.227756:0.163125:0.227756:0.146224:0.108521:0.146224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Funciones tangente y cotangente. Características :@0.287495:0.590714:0.787680:0.590714:0.787680:0.569204:0.287495:0.569204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si la función es y =  .:@0.287495:0.907414:0.437625:0.907414:0.437625:0.891025:0.287495:0.891025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A tan Bx:@0.424708:0.907414:0.481870:0.907414:0.481870:0.891053:0.424708:0.891053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) el periodo es :@0.461047:0.907414:0.587285:0.907414:0.587285:0.891025:0.461047:0.891025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
π:@0.615118:0.900131:0.625234:0.900131:0.629799:0.884558:0.619683:0.884558:0.000000
=:@0.600673:0.908709:0.610790:0.908709:0.610790:0.893136:0.600673:0.893136:0.000000
T:@0.587276:0.908032:0.595403:0.908032:0.595403:0.892638:0.587276:0.892638:0.000000
B:@0.617700:0.918944:0.626546:0.918944:0.626546:0.903551:0.617700:0.903551:0.000000
,:@0.633087:0.908032:0.636294:0.908032:0.636294:0.892362:0.633087:0.892362:0.000000
 o sea, la distancia entre dos asíntotas :@0.636101:0.907414:0.907675:0.907414:0.907675:0.891025:0.636101:0.891025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
verticales.:@0.287487:0.924011:0.359390:0.924011:0.359390:0.907622:0.287487:0.907622:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nidad de conocimientos:@0.306727:0.559586:0.480398:0.559586:0.480398:0.544221:0.306727:0.544221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.284892:0.560372:0.297460:0.560372:0.297460:0.543236:0.284892:0.543236:0.000000
Pienso y progreso:@0.294883:0.504376:0.417347:0.504376:0.417347:0.489012:0.294883:0.489012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo es el movimiento de un péndulo?:@0.294883:0.523027:0.570574:0.523027:0.570574:0.508128:0.294883:0.508128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Hasta ahora, hemos trabajado con las funciones seno y coseno, que son continuas :@0.287495:0.168345:0.907751:0.168345:0.907751:0.151956:0.287495:0.151956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y oscilan entre valores fijos. Pero, ¿qué pasa con las otras funciones trigonométricas: :@0.287495:0.184941:0.907748:0.184941:0.907748:0.168553:0.287495:0.168553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tangente, cotangente, secante y cosecante? Estas funciones también describen com-:@0.287495:0.201538:0.903583:0.201538:0.903583:0.185149:0.287495:0.185149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
portamientos periódicos, pero tienen características muy especiales, como asíntotas :@0.287495:0.218134:0.907694:0.218134:0.907694:0.201745:0.287495:0.201745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
verticales, lo que significa que no están definidas en ciertos puntos . Estudiar sus grá-:@0.287495:0.234731:0.903658:0.234731:0.903658:0.218342:0.287495:0.218342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ficas nos ayuda a entender mejor algunos fenómenos donde hay cambios bruscos, :@0.287495:0.251327:0.907751:0.251327:0.907751:0.234938:0.287495:0.234938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inclinaciones variables o comportamientos extremos.:@0.287495:0.267923:0.678117:0.267923:0.678117:0.251534:0.287495:0.251534:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un niño está columpiándose en un parque. La altura del columpio respecto del punto :@0.287495:0.291642:0.907620:0.291642:0.907620:0.275253:0.287495:0.275253:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
más bajo de su trayectoria depende del ángulo que forma con la vertical, como in-:@0.287495:0.308239:0.903642:0.308239:0.903642:0.291850:0.287495:0.291850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dica la figura (imagina una trayectoria circular formada por el movimiento del columpio).:@0.287495:0.324835:0.903708:0.324835:0.903708:0.308446:0.287495:0.308446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La distancia horizontal d (en metros) a la que se encuentra el columpio desde su po-:@0.287495:0.348554:0.903642:0.348554:0.903642:0.332165:0.287495:0.332165:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sición de equilibrio (punto más bajo) está modelada por la función::@0.287495:0.365150:0.778128:0.365150:0.778128:0.348761:0.287495:0.348761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d x:@0.540212:0.388869:0.561828:0.388869:0.561828:0.372508:0.540212:0.372508:0.000000:0.000000:0.000000
( ) = 3 :@0.549481:0.388869:0.598793:0.388869:0.598793:0.372480:0.549481:0.372480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⋅ :@0.598793:0.389450:0.609537:0.389450:0.609537:0.371844:0.598793:0.371844:0.000000:0.000000
tan x:@0.609537:0.388869:0.646042:0.388869:0.646042:0.372508:0.609537:0.372508:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.633695:0.388869:0.650925:0.388869:0.650925:0.372480:0.633695:0.372480:0.000000:0.000000:0.000000
donde   es el ángulo (en radianes) que forma el columpio con la vertical.:@0.287495:0.412588:0.818574:0.412588:0.818574:0.396199:0.287495:0.396199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.340198:0.412588:0.347662:0.412588:0.347662:0.396227:0.340198:0.396227:0.000000
a):@0.287495:0.434537:0.302403:0.434537:0.302403:0.417636:0.287495:0.417636:0.000000:0.000000
  ¿Cuál es la distancia horizontal cuando el columpio forma un ángulo de π/6 :@0.302403:0.434537:0.907678:0.434537:0.907678:0.418148:0.302403:0.418148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
radianes con la vertical?:@0.315985:0.451133:0.490105:0.451133:0.490105:0.434745:0.315985:0.434745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.287495:0.473082:0.303712:0.473082:0.303712:0.456181:0.287495:0.456181:0.000000:0.000000
  ¿Qué valor tiene   cuando el columpio está a 3 metros de distancia horizontal?:@0.303712:0.473082:0.890700:0.473082:0.890700:0.456693:0.303712:0.456693:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.439339:0.473082:0.446802:0.473082:0.446802:0.456721:0.439339:0.456721:0.000000
Gráficas de la tangente y cotangente:@0.286308:0.075160:0.826201:0.075160:0.826201:0.041608:0.286308:0.041608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.094760:0.108603:0.159692:0.108603:0.159692:0.011514:0.094760:0.011514:0.000000
©Shutterstock:@0.070380:0.361324:0.070380:0.318499:0.058469:0.318499:0.058469:0.361324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El movimiento de un columpio :@0.072616:0.442712:0.262316:0.442712:0.262316:0.429303:0.072616:0.429303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es un ejemplo claro de un :@0.072616:0.455284:0.231859:0.455284:0.231859:0.441875:0.072616:0.441875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fenómeno periódico que :@0.072616:0.467856:0.226371:0.467856:0.226371:0.454446:0.072616:0.454446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puede describirse utilizando :@0.072616:0.480427:0.245489:0.480427:0.245489:0.467018:0.072616:0.467018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funciones trigonométricas, :@0.072616:0.492999:0.236531:0.492999:0.236531:0.479590:0.072616:0.479590:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
especialmente el seno y la :@0.072616:0.505571:0.233457:0.505571:0.233457:0.492162:0.072616:0.492162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tangente.:@0.072616:0.518143:0.130149:0.518143:0.130149:0.504733:0.072616:0.504733:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.065631:0.855033:0.065631:0.812207:0.053720:0.812207:0.053720:0.855033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las funciones :@0.153041:0.627217:0.247239:0.627217:0.247239:0.612318:0.153041:0.612318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trigonométricas son :@0.109200:0.642305:0.247238:0.642305:0.247238:0.627406:0.109200:0.627406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
esenciales en la ingeniería :@0.069832:0.657392:0.247236:0.657392:0.247236:0.642493:0.069832:0.642493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vial, para garantizar :@0.115649:0.672480:0.247239:0.672480:0.247239:0.657581:0.115649:0.657581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
carreteras seguras, :@0.120977:0.687568:0.247238:0.687568:0.247238:0.672669:0.120977:0.672669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
eficientes y bien :@0.135467:0.702655:0.247239:0.702655:0.247239:0.687756:0.135467:0.687756:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diseñadas. Desde el :@0.112734:0.717743:0.247238:0.717743:0.247238:0.702844:0.112734:0.702844:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
peralte de curvas hasta la :@0.074975:0.732830:0.247238:0.732830:0.247238:0.717931:0.074975:0.717931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ubicación de señales, la :@0.086969:0.747918:0.247238:0.747918:0.247238:0.733019:0.086969:0.733019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trigonometría ayuda a :@0.095295:0.763006:0.247238:0.763006:0.247238:0.748107:0.095295:0.748107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
prevenir accidentes y a :@0.090672:0.778093:0.247238:0.778093:0.247238:0.763194:0.090672:0.763194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
optimizar el tráfico.:@0.116587:0.793181:0.243569:0.793181:0.243569:0.778282:0.116587:0.778282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Investiga sobre el peralte en :@0.069968:0.892143:0.246585:0.892143:0.246585:0.877269:0.069968:0.877269:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las curvas.:@0.178423:0.907231:0.243571:0.907231:0.243571:0.892357:0.178423:0.892357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Seguridad vial:@0.129537:0.591925:0.238093:0.591925:0.238093:0.575024:0.129537:0.575024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Característica:@0.341381:0.615973:0.439550:0.615973:0.439550:0.600609:0.341381:0.600609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.562245:0.615973:0.570152:0.615973:0.570152:0.601740:0.562245:0.601740:0.000000
 = :@0.570152:0.615973:0.587072:0.615973:0.587072:0.600609:0.570152:0.600609:0.000000:0.000000:0.000000
tan x:@0.587072:0.615973:0.623860:0.615973:0.623860:0.601740:0.587072:0.601740:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.610911:0.615973:0.628903:0.615973:0.628903:0.600609:0.610911:0.600609:0.000000:0.000000:0.000000
y:@0.768417:0.615973:0.776324:0.615973:0.776324:0.601740:0.768417:0.601740:0.000000
 = :@0.776324:0.615973:0.793244:0.615973:0.793244:0.600609:0.776324:0.600609:0.000000:0.000000:0.000000
cot x:@0.793244:0.615973:0.827904:0.615973:0.827904:0.601740:0.793244:0.601740:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.814955:0.615973:0.832947:0.615973:0.832947:0.600609:0.814955:0.600609:0.000000:0.000000:0.000000
Dominio:@0.292682:0.646626:0.351148:0.646626:0.351148:0.631727:0.292682:0.631727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
π:@0.565456:0.637981:0.574561:0.637981:0.578669:0.623966:0.569564:0.623966:0.000000
π:@0.597207:0.645648:0.606312:0.645648:0.610420:0.631633:0.601315:0.631633:0.000000
+:@0.580811:0.645700:0.589917:0.645700:0.589917:0.631684:0.580811:0.631684:0.000000
∈ ⎬:@0.623949:0.645700:0.658329:0.645949:0.658329:0.631933:0.623949:0.631684:0.000000:0.000000:0.000000
⎧:@0.556614:0.637037:0.564807:0.637037:0.564807:0.623021:0.556614:0.623021:0.000000
⎨:@0.556614:0.645949:0.564807:0.645949:0.564807:0.631933:0.556614:0.631933:0.000000
⎩:@0.556614:0.655172:0.564807:0.655172:0.564807:0.641156:0.556614:0.641156:0.000000
⎫:@0.650136:0.637036:0.658329:0.637036:0.658329:0.623021:0.650136:0.623021:0.000000
⎭:@0.650136:0.655172:0.658329:0.655172:0.658329:0.641156:0.650136:0.641156:0.000000
k k:@0.591526:0.645339:0.619870:0.645339:0.619870:0.631485:0.591526:0.631485:0.000000:0.000000:0.000000
:@0.532766:0.645874:0.544740:0.645874:0.544740:0.630800:0.532766:0.630800:0.000000
:@0.638776:0.645874:0.649839:0.645874:0.649839:0.630800:0.638776:0.630800:0.000000
\:@0.548041:0.644878:0.553812:0.644878:0.553812:0.630775:0.548041:0.630775:0.000000
2:@0.568041:0.654910:0.576135:0.654910:0.576135:0.640808:0.568041:0.640808:0.000000
π:@0.788826:0.645876:0.797931:0.645876:0.802039:0.631860:0.792934:0.631860:0.000000
{:@0.775494:0.648602:0.717862:0.648602:0.717862:0.629821:0.775494:0.629821:0.000000
}:@0.841088:0.648602:0.783455:0.648602:0.783455:0.629821:0.841088:0.629821:0.000000
∈:@0.815595:0.645920:0.827420:0.645920:0.827420:0.631904:0.815595:0.631904:0.000000
kk:@0.783370:0.645310:0.811714:0.645310:0.811714:0.631456:0.783370:0.631456:0.000000:0.000000
\:@0.767720:0.645312:0.773491:0.645312:0.773491:0.631209:0.767720:0.631209:0.000000
Recorrido:@0.292662:0.676327:0.357358:0.676327:0.357358:0.661428:0.292662:0.661428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.589514:0.678301:0.601610:0.678301:0.601610:0.662296:0.589514:0.662296:0.000000
ℝ:@0.794614:0.678301:0.806709:0.678301:0.806709:0.662296:0.794614:0.662296:0.000000
Periodo:@0.292662:0.694935:0.344259:0.694935:0.344259:0.680036:0.292662:0.680036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
π:@0.591156:0.694935:0.599985:0.694935:0.599985:0.680036:0.591156:0.680036:0.000000
π:@0.796256:0.694935:0.805084:0.694935:0.805084:0.680036:0.796256:0.680036:0.000000
Paridad:@0.292662:0.712701:0.342567:0.712701:0.342567:0.697802:0.292662:0.697802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
impar:@0.576062:0.712701:0.615078:0.712701:0.615078:0.697802:0.576062:0.697802:0.000000:0.000000:0.000000:0.000000:0.000000
impar:@0.781162:0.712701:0.820178:0.712701:0.820178:0.697802:0.781162:0.697802:0.000000:0.000000:0.000000:0.000000:0.000000
Gráfica de la función tangente:@0.333028:0.740440:0.550454:0.740440:0.550454:0.725075:0.333028:0.725075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Gráfica de la función cotangente:@0.632277:0.740440:0.866522:0.740440:0.866522:0.725075:0.632277:0.725075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.547003:0.827157:0.551074:0.827157:0.551074:0.818233:0.547003:0.818233:0.000000
y:@0.429160:0.764664:0.433241:0.764664:0.433241:0.755740:0.429160:0.755740:0.000000
y:@0.453595:0.797653:0.457676:0.797653:0.457676:0.788729:0.453595:0.788729:0.000000
 = :@0.457676:0.797653:0.468070:0.797653:0.468070:0.788714:0.457676:0.788714:0.000000:0.000000:0.000000
tan x:@0.468070:0.797653:0.487981:0.797653:0.487981:0.788729:0.468070:0.788729:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.481247:0.797653:0.490645:0.797653:0.490645:0.788714:0.481247:0.788714:0.000000:0.000000:0.000000
0:@0.439453:0.824753:0.444358:0.824753:0.444358:0.815814:0.439453:0.815814:0.000000
–2π 3π:@0.352046:0.826043:0.384549:0.826044:0.384549:0.817105:0.352046:0.817104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–π:@0.393910:0.826043:0.404233:0.826043:0.404233:0.817104:0.393910:0.817104:0.000000:0.000000
π:@0.475136:0.826043:0.480433:0.826043:0.480433:0.817104:0.475136:0.817104:0.000000
2π 5π:@0.511622:0.826043:0.541274:0.826044:0.541274:0.817105:0.511622:0.817104:0.000000:0.000000:0.000000:0.000000:0.000000
π:@0.416293:0.826044:0.421590:0.826044:0.421590:0.817105:0.416293:0.817105:0.000000
2:@0.416494:0.835685:0.421399:0.835685:0.421399:0.826746:0.416494:0.826746:0.000000
–:@0.410332:0.829198:0.415358:0.829198:0.415358:0.820258:0.410332:0.820258:0.000000
π:@0.455788:0.826044:0.461085:0.826044:0.461085:0.817105:0.455788:0.817105:0.000000
2:@0.455989:0.835685:0.460894:0.835685:0.460894:0.826746:0.455989:0.826746:0.000000
3π:@0.492228:0.826044:0.502430:0.826044:0.502430:0.817105:0.492228:0.817105:0.000000:0.000000
2:@0.494882:0.835685:0.499787:0.835685:0.499787:0.826746:0.494882:0.826746:0.000000
2:@0.533726:0.835685:0.538631:0.835685:0.538631:0.826746:0.533726:0.826746:0.000000
5π:@0.334950:0.826044:0.345152:0.826044:0.345152:0.817105:0.334950:0.817105:0.000000:0.000000
2:@0.337604:0.835685:0.342509:0.835685:0.342509:0.826746:0.337604:0.826746:0.000000
–:@0.329412:0.829198:0.334437:0.829198:0.334437:0.820258:0.329412:0.820258:0.000000
2:@0.377000:0.835685:0.381905:0.835685:0.381905:0.826746:0.377000:0.826746:0.000000
–:@0.368678:0.829198:0.373703:0.829198:0.373703:0.820258:0.368678:0.820258:0.000000
x:@0.855522:0.826489:0.859593:0.826489:0.859593:0.817565:0.855522:0.817565:0.000000
y:@0.717436:0.751964:0.721517:0.751964:0.721517:0.743040:0.717436:0.743040:0.000000
y:@0.730774:0.771088:0.734855:0.771088:0.734855:0.762163:0.730774:0.762163:0.000000
 = :@0.734855:0.771088:0.745248:0.771088:0.745248:0.762148:0.734855:0.762148:0.000000:0.000000:0.000000
cot x:@0.745248:0.771088:0.764034:0.771088:0.764034:0.762163:0.745248:0.762163:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.757300:0.771088:0.766698:0.771088:0.766698:0.762148:0.757300:0.762148:0.000000:0.000000:0.000000
0:@0.728020:0.824087:0.732925:0.824087:0.732925:0.815147:0.728020:0.815147:0.000000
3π –π:@0.662898:0.825329:0.690456:0.825329:0.690456:0.816389:0.662898:0.816389:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.665552:0.834970:0.670457:0.834970:0.670457:0.826030:0.665552:0.826030:0.000000
–:@0.657229:0.828482:0.662255:0.828482:0.662255:0.819543:0.657229:0.819543:0.000000
π:@0.703643:0.825329:0.708941:0.825329:0.708941:0.816389:0.703643:0.816389:0.000000
2:@0.703844:0.834970:0.708750:0.834970:0.708750:0.826030:0.703844:0.826030:0.000000
–:@0.697904:0.828482:0.702930:0.828482:0.702930:0.819543:0.697904:0.819543:0.000000
–2π:@0.636932:0.825329:0.652160:0.825329:0.652160:0.816389:0.636932:0.816389:0.000000:0.000000:0.000000
π:@0.763419:0.825329:0.768716:0.825329:0.768716:0.816389:0.763419:0.816389:0.000000
2π 5π:@0.799906:0.825329:0.829538:0.825329:0.829538:0.816389:0.799906:0.816389:0.000000:0.000000:0.000000:0.000000:0.000000
3π:@0.840112:0.825329:0.850314:0.825329:0.850314:0.816389:0.840112:0.816389:0.000000:0.000000
π:@0.743950:0.825329:0.749247:0.825329:0.749247:0.816389:0.743950:0.816389:0.000000
2:@0.744151:0.834970:0.749056:0.834970:0.749056:0.826030:0.744151:0.826030:0.000000
3π:@0.780436:0.825329:0.790639:0.825329:0.790639:0.816389:0.780436:0.816389:0.000000:0.000000
2:@0.783090:0.834970:0.787995:0.834970:0.787995:0.826030:0.783090:0.826030:0.000000
2:@0.821989:0.834970:0.826894:0.834970:0.826894:0.826030:0.821989:0.826030:0.000000
x:@0.192094:0.283978:0.198879:0.283978:0.198879:0.269104:0.192094:0.269104:0.000000
d:@0.203078:0.332662:0.211505:0.332662:0.211505:0.317788:0.203078:0.317788:0.000000