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Mariulka [41]
2 years ago
7

1. Si μ es un ángulo agudo y cot μ = , ¿cuáles son los valores de todas las funciones trigonométricas de μ?

Mathematics
1 answer:
Scilla [17]2 years ago
8 0

Answer:

Funciones trigonométricas de μ

sen (μ) = b/ √(a^2+ b^2)

cos (μ) = a/ √(a^2+ b^2)

tan (μ)  = b/ a

cot (μ)  = a/ b

sec (μ) =  √(a^2+ b^2) / a

csc (μ) =   √(a^2+ b^2) /b

Step-by-step explanation:

Ya que no proportionaste el valor de cot μ podemos suponer un valor = a/b para que tengas una respuesta general y reemplaces el valor de a y b de acuerdo con tu caso.

cot (μ) = a/b

_______________________________

Funciones trigonométricas

sen (μ) = cateto opuesto/ hipotenusa

cos (μ) = cateto adyacente/ hipotenusa

tan (μ)  = cateto opuesto/ cateto adyacente

cot (μ)  = cateto adyacente/ cateto opuesto

sec (μ) =  hipotenusa / cateto adyacente

csc (μ) =   hipotenusa /cateto opuesto

cot (μ)  = cateto adyacente/ cateto opuesto = cot (μ)  = a/ b

Por lo tanto:

Cateto adyacente = a

Cateto opuesto = b

Hipotenusa

H^2 = Cateto adyacente^2 + Cateto opuesto^2

H= √(a^2+ b^2)

Reemplaznado los valores de los catetos y la hipotenusa se obteienen los valores de las funciones trigonométricas de μ.

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