It is the same period as cosine function which is 2 pi because sec x = 1/cos x
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2*Pi
The function sec(x) is the secant function. It is related to the other functions by the expression 1/cos(x). It is not the inverse cosine or arccosine, it is one over the cosine function. Ex. cos(pi/4)= sqrt(2)/2 therefore secant is sec(pi/4)= 1/sqrt(2)/2 or 2/sqrt(2).
2pi
Secant(3pi/4) = 1/cos(3pi/4) = 1/[-1/sqrt(2)] = -sqrt(2)
2