Which equation should be used to graph y=sec^(-1) (x) on a calculator? y = (1)/(sec(x)) \\y=(1)/(cos^(-1) (x)) \\y=sec((1)/(x) )\\y=cos^(-1) ((1)/(x) )

Vptheron asked Mar 27, 2022

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39 votes

Which equation should be used to graph
y=sec^(-1) (x)

on a calculator?

$y = (1)/(sec(x)) \\y=(1)/(cos^(-1) (x)) \\y=sec((1)/(x) )\\y=cos^(-1) ((1)/(x) )$

Vptheron asked Mar 27, 2022

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18 votes

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Answer:

(d) y = arccos(1/x)

Explanation:

You are given y = arcsec(x), which means sec(y) = x = 1/cos(y). Then ...

cos(y) = 1/x

y = arccos(1/x) . . . . . matches choice D

Mythago answered Apr 1, 2022

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