Funciones trigonométricas inversas (teoría y problemas)
- (función inyectiva)
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- (funcion sobreyectiva y biyectiva)
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- (función inversa)
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- (estudio de funciones inversas trigonométricas: introducción).
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- (arcsen)
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- (arccos)
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- (arctan)
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- (recordando)
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- (arccot)
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- (arcsec)
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- (arccsc)
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- (propiedades 1)
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- (propiedades 2: arcft(ft(x)))
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- (obs)
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- (propiedades: suma co-arcos)
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- (propiedades: signo sale)
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- (propiedad arctan)
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- (propiedad: inversa)
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- Definición de función univalente
o inyectiva, función biyectiva y función suryectiva.
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- Definición de función trigonométrica inversa.
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- Función arco seno (arc sen = sen = sen–1
): Determinación de su dominio, rango, continuidad, gráfica y
amplitud.
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- Aplicaciones analíticas y aplicaciones gráficas de la función arco
seno.
- Ejercicios y problemas.
- dom.
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- ran.
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- dom y rango.
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- Función arco coseno (arc cos = cos = cos–1
):
Determinación de su dominio, rango, continuidad, gráfica y amplitud.
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- Aplicaciones analíticas y aplicaciones gráficas de la función arco coseno.
- Ejercicios y problemas.
- dom.
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- ran.
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- Función arco tangente (arc tan = tan = tan–1
):
Determinación de su dominio, rango, continuidad y gráfica.
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- Aplicaciones
analíticas y aplicaciones gráficas de la función arco tangente.
- Ejercicios y
problemas.
- dom.
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- ran.
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- Función arco cotangente (arc cot = cot = cot–1
):
Determinación de su dominio, rango, continuidad y gráfica.
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- Aplicaciones analíticas y aplicaciones gráficas de la función arco cotangente.
- Ejercicios y problemas.
- dom.
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- ran.
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- Función arco secante (arc sec = sec = sec–1
):
Determinación de su dominio, rango, continuidad y gráfica.
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- Aplicaciones analíticas y aplicaciones gráficas de la función arco secante.
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- Ejercicios y problemas.
- Función arco cosecante (arc csc = csc = csc–1
):
Determinación de su dominio, rango, continuidad y gráfica.
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- Aplicaciones
analíticas y aplicaciones gráficas de la función arco cosecante.
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- Ejercicios y
problemas.
- dom.
- ran.
- Funciones trigonométricas inversas generalizadas.
- Propiedades de las funciones trigonométricas inversas con sus respectivas
restricciones.
- Ejercicios y problemas.
- Metodo de solucion a funcioes inversas
- i) Despejar f(x)
- ii) hallar el dominio
- iii) hallar el rango
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