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)#

Related questions
See all questions in Trigonometric Functions of Any Angle
Impact of this question
11743 views around the world
You can reuse this answer
Creative Commons License