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Funciones trigonometricas inversas

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Tareas Calculo Diferencial

on 25 September 2012

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Transcript of Funciones trigonometricas inversas

"Funciones trigonométricas inversas" Este tipo de funciones son periódicas y no son inyectivas. FUNCIÓN
y=arccscx sí y solo si seny=x
sí y solo si cosy=x
sí y solo si tany=x
sí y solo si coty=x
sí y solo si secy=x
sí y solo si cscy=x DOMINIO
|x|≥1 RANGO
-π/2≤y≤π/2;y≠0 "GRÁFICAS" y=arcsenx y=arccscx Propiedades de las funciones trigonométricas 1.- Si -1≤x≤1 y -π/2≤Y≤π/2 por lo tanto:

Sen (arcsenx) = x
arcsen (seny) = y

2.- Si -π/2<Y<π/2 por lo tanto:

tan (arctanx) = x y
arctan (tany) = y

3.- Si |x|≤1 y 0≤Y≤π/2 ó π/2 <Y≤π por lo tanto:

Sec (arcsecx) = x y
arcsec (secy) = y El término arcsenx es el "arco del seno de x ó el ángulo cuyo seno es x "una notación alternativa de la función inversa del seno es "seno a la -1 x". y= arctanx y=arccotx Integrantes:
Becerra Morales Blanca Maribel.
Delgado Perez Carlos Alberto Salvador
Encina Luna Eduardo Jesus.
Moreno Martinez Juan Carlos. y= arccosx y=arcsecx
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