How do you find sec pi/4 in terms of radians?

1 Answer
Alan P.
Aug 8, 2015

sec(pi/4) = sqrt(2)
Note, however, that sqrt(2) is not in radians. It is a ratio (not in degrees or radians); the argument of sec (namely pi/4) is the component in radians

Explanation:

sec(pi/4)

color(white)("XXXX")=1/cos(pi/4)

pi/4 radians is one of the standard angles with cos(pi/4) = 1/sqrt(2)

So sec(pi/4) = 1/(1/sqrt(2)) = sqrt(2)

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