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RSB [31]
3 years ago
5

Which function is equivalent to the inverse of y=sec(x)

Mathematics
1 answer:
kipiarov [429]3 years ago
6 0
From the identity:

sec(x)= \frac{1}{cos(x)}


f(x)=sec(x)= \frac{1}{cos(x)}

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

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

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

g(x)=cos^{-1} (\frac{1}{x})


Answer: b. g(x)=cos^-1(1/x)   
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