122:@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
¿Cuál es el valor de x en la :@0.071298:0.192000:0.247835:0.192000:0.247835:0.177101:0.071298:0.177101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación 2  + 3 = 9? :@0.107199:0.207088:0.247835:0.207088:0.247835:0.192189:0.107199:0.192189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.180005:0.207088:0.186789:0.207088:0.186789:0.192214:0.180005:0.192214:0.000000
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
Una ecuación trigonométrica es una igualdad que contiene funciones trigonométricas :@0.287495:0.557235:0.907655:0.557235:0.907655:0.540846:0.287495:0.540846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de una o más variables, donde la incógnita generalmente es el ángulo que hace :@0.287495:0.573831:0.907711:0.573831:0.907711:0.557442:0.287495:0.557442:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cierta la igualdad.:@0.287495:0.590427:0.416174:0.590427:0.416174:0.574038:0.287495:0.574038:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resolver una ecuación trigonométrica es encontrar los valores del ángulo desconocido :@0.287495:0.614146:0.907731:0.614146:0.907731:0.597757:0.287495:0.597757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que satisface a la ecuación dada, las ecuaciones trigonométricas pueden tener múlti-:@0.287495:0.630743:0.903642:0.630743:0.903642:0.614354:0.287495:0.614354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ples soluciones, ya que las funciones trigonométricas son periódicas. Esto quiere decir, :@0.287495:0.647339:0.907676:0.647339:0.907676:0.630950:0.287495:0.630950:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que sus valores se repiten cada cierto intervalo. Por ejemplo: :@0.287495:0.663935:0.744204:0.663935:0.744204:0.647546:0.287495:0.647546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen x:@0.745476:0.663935:0.781502:0.663935:0.781502:0.647574:0.745476:0.647574:0.000000:0.000000:0.000000:0.000000:0.000000
( ) = ½ se cumple :@0.769155:0.663935:0.907731:0.663935:0.907731:0.647546:0.769155:0.647546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para   =30°,   =150° y también para los ángulos sumados a cualquier número de :@0.287495:0.680532:0.907714:0.680532:0.907714:0.664143:0.287495:0.664143:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.325917:0.680532:0.333380:0.680532:0.333380:0.664171:0.325917:0.664171:0.000000
x:@0.383135:0.680532:0.390598:0.680532:0.390598:0.664171:0.383135:0.664171:0.000000
vueltas completas, o sea múltiplos de 360°.:@0.287495:0.697128:0.601298:0.697128:0.601298:0.680739:0.287495:0.680739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Formas comunes de expresar las soluciones:@0.287495:0.726328:0.726678:0.726328:0.726678:0.704818:0.287495:0.704818:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
θ:@0.287495:0.900341:0.296562:0.900341:0.296562:0.883979:0.287495:0.883979:0.000000
 es un ángulo conocido cuyo seno, coseno o tangente es  , y   es un número entero.:@0.296562:0.900341:0.903660:0.900341:0.903660:0.883952:0.296562:0.883952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a k:@0.710262:0.900341:0.745017:0.900341:0.745017:0.883979:0.710262:0.883979:0.000000:0.000000:0.000000
nidad de conocimientos:@0.306727:0.529878:0.480398:0.529878:0.480398:0.514514:0.306727:0.514514:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.284892:0.530665:0.297460:0.530665:0.297460:0.513530:0.284892:0.513530:0.000000
Pienso y progreso:@0.294883:0.472609:0.417347:0.472609:0.417347:0.457245:0.294883:0.457245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Averigua sobre los relojes de péndulo. ¿Cuáles son sus ventajas y limitaciones?:@0.294883:0.491261:0.815122:0.491261:0.815122:0.476362:0.294883:0.476362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Permiten modelar fenómenos periódicos, como el movimiento de un péndulo o las :@0.287495:0.168345:0.907683:0.168345:0.907683:0.151956:0.287495:0.151956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ondas de sonido, entre otras aplicaciones. Al resolver estas ecuaciones podemos en-:@0.287495:0.184941:0.903640:0.184941:0.903640:0.168553:0.287495:0.168553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
contrar ángulos desconocidos que satisfacen ciertas condiciones.:@0.287495:0.201538:0.766277:0.201538:0.766277:0.185149:0.287495:0.185149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un péndulo es un sistema físico compuesto por una masa suspendida de un punto :@0.287495:0.225257:0.907657:0.225257:0.907657:0.208868:0.287495:0.208868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fijo mediante un hilo o varilla, que permite oscilar libremente bajo la acción de la :@0.287495:0.241853:0.907759:0.241853:0.907759:0.225464:0.287495:0.225464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gravedad. Cuando se desplaza de su posición de equilibrio y se suelta, el péndulo :@0.287495:0.258450:0.907620:0.258450:0.907620:0.242061:0.287495:0.242061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comienza a moverse de manera periódica.:@0.287495:0.275046:0.597832:0.275046:0.597832:0.258657:0.287495:0.258657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un péndulo tiene una longitud tal que realiza una oscilación completa (ida y vuelta) :@0.287495:0.298765:0.907585:0.298765:0.907585:0.282376:0.287495:0.282376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cada 4 segundos. El desplazamiento horizontal de la masa del péndulo respecto de :@0.287495:0.315361:0.907674:0.315361:0.907674:0.298972:0.287495:0.298972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
su posición de equilibrio está dado por la función::@0.287495:0.331958:0.652783:0.331958:0.652783:0.315569:0.287495:0.315569:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
xt:@0.524562:0.361538:0.543248:0.361538:0.543248:0.346145:0.524562:0.346145:0.000000:0.000000
cos:@0.586442:0.361538:0.609771:0.361538:0.609771:0.346145:0.586442:0.346145:0.000000:0.000000:0.000000
t:@0.635754:0.361538:0.641135:0.361538:0.641135:0.346145:0.635754:0.346145:0.000000
() 15 :@0.532928:0.361538:0.586442:0.361524:0.586442:0.345855:0.532928:0.345868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.552664:0.362216:0.562781:0.362216:0.562781:0.346643:0.552664:0.346643:0.000000
⎛:@0.611725:0.354706:0.618801:0.354706:0.618801:0.339133:0.611725:0.339133:0.000000
⎝:@0.611725:0.374483:0.618801:0.374483:0.618801:0.358910:0.611725:0.358910:0.000000
⎜:@0.611725:0.365784:0.618801:0.365784:0.618801:0.350211:0.611725:0.350211:0.000000
⎞:@0.644176:0.354706:0.651252:0.354706:0.651252:0.339133:0.644176:0.339133:0.000000
⎠:@0.644176:0.374483:0.651252:0.374483:0.651252:0.358910:0.644176:0.358910:0.000000
⎟:@0.644176:0.365784:0.651252:0.365784:0.651252:0.350211:0.644176:0.350211:0.000000
2:@0.623389:0.372367:0.632382:0.372367:0.632382:0.356698:0.623389:0.356698:0.000000
π:@0.623039:0.354886:0.632751:0.354886:0.632751:0.339216:0.623039:0.339216:0.000000
donde  ( ) es el desplazamiento horizontal en centímetros y   es el tiempo en segundos.:@0.287495:0.401664:0.900214:0.401664:0.900214:0.385275:0.287495:0.385275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x t:@0.337987:0.401664:0.354977:0.401664:0.354977:0.385302:0.337987:0.385302:0.000000:0.000000:0.000000
t:@0.708014:0.401664:0.713395:0.401664:0.713395:0.385302:0.708014:0.385302:0.000000
¿En qué momentos durante los primeros 8 segundos el péndulo pasa por su posi-:@0.287495:0.425383:0.903730:0.425383:0.903730:0.408994:0.287495:0.408994:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ción de equilibrio?:@0.287495:0.441979:0.423010:0.441979:0.423010:0.425590:0.287495:0.425590:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ecuaciones trigonométricas:@0.286308:0.075160:0.694443:0.075160:0.694443:0.041608:0.286308:0.041608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.094760:0.108603:0.159692:0.108603:0.159692:0.011514:0.094760:0.011514:0.000000
Ecuación:@0.357983:0.751738:0.422949:0.751738:0.422949:0.736374:0.357983:0.736374:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución en grados:@0.526512:0.751738:0.664617:0.751738:0.664617:0.736374:0.526512:0.736374:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución en radianes:@0.725597:0.751738:0.875747:0.751738:0.875747:0.736374:0.725597:0.736374:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen x:@0.292665:0.785584:0.325416:0.785584:0.325416:0.770710:0.292665:0.770710:0.000000:0.000000:0.000000:0.000000:0.000000
( ) = :@0.314192:0.785584:0.347178:0.785584:0.347178:0.770685:0.314192:0.770685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.347178:0.785584:0.355604:0.785584:0.355604:0.770710:0.347178:0.770710:0.000000
x:@0.497765:0.778040:0.504550:0.778040:0.504550:0.763167:0.497765:0.763167:0.000000
 =   + 360°:@0.504550:0.778040:0.576886:0.778040:0.576886:0.763141:0.504550:0.763141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
θ:@0.521872:0.778040:0.530114:0.778040:0.530114:0.763167:0.521872:0.763167:0.000000
k:@0.576886:0.778040:0.583772:0.778040:0.583772:0.763167:0.576886:0.763167:0.000000
x:@0.497765:0.793128:0.504550:0.793128:0.504550:0.778254:0.497765:0.778254:0.000000
 = 180° –   +360°:@0.504550:0.793128:0.618382:0.793128:0.618382:0.778229:0.504550:0.778229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
θ:@0.567036:0.793128:0.575278:0.793128:0.575278:0.778254:0.567036:0.778254:0.000000
k:@0.618382:0.793128:0.625267:0.793128:0.625267:0.778254:0.618382:0.778254:0.000000
x:@0.702864:0.778040:0.709649:0.778040:0.709649:0.763167:0.702864:0.763167:0.000000
 =   + 2π:@0.709649:0.778040:0.769539:0.778040:0.769539:0.763141:0.709649:0.763141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
θ:@0.726971:0.778040:0.735213:0.778040:0.735213:0.763167:0.726971:0.763167:0.000000
k:@0.769539:0.778040:0.776424:0.778040:0.776424:0.763167:0.769539:0.763167:0.000000
x:@0.702864:0.793128:0.709649:0.793128:0.709649:0.778254:0.702864:0.778254:0.000000
 = π –   + 2π :@0.709649:0.793128:0.797750:0.793128:0.797750:0.778229:0.709649:0.778229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
θ:@0.751513:0.793128:0.759756:0.793128:0.759756:0.778254:0.751513:0.778254:0.000000
k:@0.797750:0.793128:0.804635:0.793128:0.804635:0.778254:0.797750:0.778254:0.000000
cos x:@0.292665:0.830583:0.324880:0.830583:0.324880:0.815709:0.292665:0.815709:0.000000:0.000000:0.000000:0.000000:0.000000
( ) = :@0.313656:0.830583:0.346641:0.830583:0.346641:0.815684:0.313656:0.815684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.346641:0.830583:0.355068:0.830583:0.355068:0.815709:0.346641:0.815709:0.000000
x:@0.497765:0.823039:0.504550:0.823039:0.504550:0.808165:0.497765:0.808165:0.000000
 =   + 360°:@0.504550:0.823039:0.576886:0.823039:0.576886:0.808140:0.504550:0.808140:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
θ:@0.521872:0.823039:0.530114:0.823039:0.530114:0.808165:0.521872:0.808165:0.000000
k:@0.576886:0.823039:0.583772:0.823039:0.583772:0.808165:0.576886:0.808165:0.000000
x:@0.497765:0.838127:0.504550:0.838127:0.504550:0.823253:0.497765:0.823253:0.000000
 = –   +360°:@0.504550:0.838127:0.585263:0.838127:0.585263:0.823228:0.504550:0.823228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
θ:@0.533916:0.838127:0.542159:0.838127:0.542159:0.823253:0.533916:0.823253:0.000000
k:@0.585263:0.838127:0.592148:0.838127:0.592148:0.823253:0.585263:0.823253:0.000000
x:@0.702864:0.823039:0.709649:0.823039:0.709649:0.808165:0.702864:0.808165:0.000000
 =   + 2π:@0.709649:0.823039:0.769539:0.823039:0.769539:0.808140:0.709649:0.808140:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
θ:@0.726971:0.823039:0.735213:0.823039:0.735213:0.808165:0.726971:0.808165:0.000000
k:@0.769539:0.823039:0.776424:0.823039:0.776424:0.808165:0.769539:0.808165:0.000000
x:@0.702864:0.838127:0.709649:0.838127:0.709649:0.823253:0.702864:0.823253:0.000000
 = –   + 2π :@0.709649:0.838127:0.785253:0.838127:0.785253:0.823228:0.709649:0.823228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
θ:@0.739016:0.838127:0.747258:0.838127:0.747258:0.823253:0.739016:0.823253:0.000000
k:@0.785253:0.838127:0.792138:0.838127:0.792138:0.823253:0.785253:0.823253:0.000000
tan x:@0.292665:0.865712:0.325852:0.865712:0.325852:0.850838:0.292665:0.850838:0.000000:0.000000:0.000000:0.000000:0.000000
( ) = :@0.314628:0.865712:0.347613:0.865712:0.347613:0.850813:0.314628:0.850813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.347613:0.865712:0.356040:0.865712:0.356040:0.850838:0.347613:0.850838:0.000000
x:@0.497765:0.865712:0.504550:0.865712:0.504550:0.850838:0.497765:0.850838:0.000000
 =   + 180°:@0.504550:0.865712:0.576886:0.865712:0.576886:0.850813:0.504550:0.850813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
θ:@0.521872:0.865712:0.530114:0.865712:0.530114:0.850838:0.521872:0.850838:0.000000
k:@0.576886:0.865712:0.583772:0.865712:0.583772:0.850838:0.576886:0.850838:0.000000
x:@0.702864:0.865712:0.709649:0.865712:0.709649:0.850838:0.702864:0.850838:0.000000
 =   + π:@0.709649:0.865712:0.761364:0.865712:0.761364:0.850813:0.709649:0.850813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
θ:@0.726971:0.865712:0.735213:0.865712:0.735213:0.850838:0.726971:0.850838:0.000000
k:@0.761364:0.865712:0.768249:0.865712:0.768249:0.850838:0.761364:0.850838:0.000000
©Shutterstock:@0.070380:0.373290:0.070380:0.330465:0.058469:0.330465:0.058469:0.373290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los relojes de péndulo son :@0.072616:0.488211:0.236625:0.488211:0.236625:0.474802:0.072616:0.474802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un ejemplo clásico del uso :@0.072616:0.500783:0.235600:0.500783:0.235600:0.487374:0.072616:0.487374:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
práctico del movimiento :@0.072616:0.513355:0.224032:0.513355:0.224032:0.499946:0.072616:0.499946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
periódico en la medición del :@0.072616:0.525926:0.247722:0.525926:0.247722:0.512517:0.072616:0.512517:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiempo.:@0.072616:0.538498:0.118780:0.538498:0.118780:0.525089:0.072616:0.525089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El ahorro te protege ante :@0.078207:0.623654:0.248426:0.623654:0.248426:0.608755:0.078207:0.608755:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
imprevistos, te permite :@0.091659:0.638742:0.248424:0.638742:0.248424:0.623843:0.091659:0.623843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cumplir metas y reduce el :@0.072343:0.653829:0.248426:0.653829:0.248426:0.638930:0.072343:0.638930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estrés económico, :@0.123790:0.668917:0.248426:0.668917:0.248426:0.654018:0.123790:0.654018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mientras genera :@0.135902:0.684004:0.248428:0.684004:0.248428:0.669105:0.135902:0.669105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
oportunidades para :@0.112482:0.699092:0.248428:0.699092:0.248428:0.684193:0.112482:0.684193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
invertir y hacer crecer tu :@0.083735:0.714180:0.248426:0.714180:0.248426:0.699281:0.083735:0.699281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dinero. Pequeñas :@0.130055:0.729267:0.248428:0.729267:0.248428:0.714368:0.130055:0.714368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cantidades guardadas con :@0.069060:0.744355:0.248426:0.744355:0.248426:0.729456:0.069060:0.729456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
constancia se transforman :@0.069730:0.759442:0.248424:0.759442:0.248424:0.744543:0.069730:0.744543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en seguridad y :@0.146171:0.774530:0.248426:0.774530:0.248426:0.759631:0.146171:0.759631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
posibilidades a futuro.:@0.098259:0.789618:0.244757:0.789618:0.244757:0.774719:0.098259:0.774719:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Averigua la ventaja de abrir :@0.071389:0.902157:0.247774:0.902157:0.247774:0.887284:0.071389:0.887284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una cuenta de ahorros.:@0.098193:0.917245:0.244757:0.917245:0.244757:0.902371:0.098193:0.902371:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Educación  :@0.142411:0.584015:0.227718:0.584015:0.227718:0.567114:0.142411:0.567114:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
financiera:@0.145592:0.597845:0.220641:0.597845:0.220641:0.580945:0.145592:0.580945:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.066818:0.857951:0.066818:0.815125:0.054907:0.815125:0.054907:0.857951:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000