GRAFICAS DE LA FUNCIÓN TANGENTE Y COTANGENTE: presentación

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1

GRAFICAS DE LA FUNCIÓN TANGENTE Y COTANGENTE

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GRAFICA TANGENTE

La grafica de la función tangente tiene la forma de:

y=\tan\ kx

donde tiene propiedades:
Amplitud =

\left|a\right|

Periodo =

\frac{\pi}{k}

Intervalo para graficar =

\left(-\frac{\pi}{2k},\ \frac{\pi}{2k}\right)

3

GRAFICA COTANGENTE

La grafica de la función tangente tiene la forma de:

y=Cot\ kx

donde tiene propiedades:
Amplitud =

\left|a\right|

Periodo =

\frac{\pi}{k}

Intervalo para graficar =

\left(0,\ \frac{\pi}{k}\right)

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EJEMPLO 1:

Grafique la función:
$y\ =\ -4\ \tan x$

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EJEMPLO 2:

Grafique la función:
$y\ =\ 2\ Cot\ x$

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EJEMPLO 3:

Grafique la función:
$y\ =\ \tan\frac{1}{2}x$

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EJEMPLO 4:

Grafique la función:
$y\ =\ -Cot\ \frac{\pi}{4}x$

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EJERCICIO 1:

Grafique la función:
$y\ =\ -\frac{1}{2}\tan\frac{\pi}{2}x$

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EJERCICIO 2:

Grafique la función:
$y\ =\ 2\ Cot\ 3x$

GRAFICAS DE LA FUNCIÓN TANGENTE Y COTANGENTE

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