Question

What is the period of the function F(x) = -4sec (1/2 x)

A. 4 pi
B. pi
C. pi/2
D. 2 pi

Answer 1

A) 4π

Explanation:

The period of a secant function, f(x)=a*sec(bx+c)+d, is defined as 2π/|b| where b is the distance of the period. Since we know b=1/2 given by the function, then the period is 2π/|1/2|=2π/(1/2)=2π(2/1)=4π.