GRAFICAS DE FUNCIONES SENO Y COSENO DESPLAZADAS

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GRAFICA COSENO DESPLAZADA

La grafica de una función coseno desplazada tiene la forma de: $y=a\ Cos\ k\left(x-b\right)$

donde tienen propiedades:
Amplitud =

\left|a\right|

Periodo =

\frac{2\pi}{k}

Desfase =

b

Intervalo para graficar

\left[b,\ b+\frac{2\pi}{k}\right]

3

GRAFICA SENO DESPLAZADA

La grafica de una función coseno desplazada tiene la forma de: $y=a\ Sen\ k\left(x-b\right)$

donde tienen propiedades:
Amplitud =

\left|a\right|

Periodo =

\frac{2\pi}{k}

Desfase =

b

Intervalo para graficar

\left[b,\ b+\frac{2\pi}{k}\right]

4

EJEMPLO:

Grafique la función:
$y=1+Cos\ \left(3x+\frac{\pi}{2}\right)$

5

EJEMPLO:

Grafique la función:
$y=-2\ Sen\ \left(\frac{2}{3}x-\frac{\pi}{6}\right)$

6

EJERCICIO:

Grafique la función:
$y=-1-Cos\ \left(2x-\frac{\pi}{2}\right)$

GRAFICAS DE FUNCIONES SENO Y COSENO DESPLAZADAS

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