emilyizquierdo emilyizquierdo
  • 03-08-2017
  • Mathematics
contestada

which function is equivalent to the inverse of y=sec(x)
a. y=cot^-1(x)
b. y=cos^-1(1/x)
c. y=csc^-1(x)
d. y=sin^-1(1/x)

Respuesta :

eco92 eco92
  • 10-08-2017
From the identity:

[tex]sec(x)= \frac{1}{cos(x)} [/tex]


[tex]f(x)=sec(x)= \frac{1}{cos(x)} [/tex]

the inverse of f is g such that f(g(x))=x,

we must find g(x), such that [tex] \frac{1}{cos[g(x)]}=x [/tex]

thus, [tex]cos[g(x)]= \frac{1}{x} [/tex]

[tex]g(x)=cos^{-1} (\frac{1}{x}) [/tex]


Answer: b. g(x)=cos^-1(1/x)   
Answer Link
kencol0705a kencol0705a
  • 24-02-2021

Answer: B) csc^-1(x)

Step-by-step explanation: EDGE 2021

Answer Link

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