Question

For the secant function sec(x), what is the period of the function?

A) π
B) 2π
C) 2/π
​D) 3π/2
​

Answer 1

The period of the secant function sec(x) is 2π, which is the same as the period of the cosine function.

Step-by-step explanation:

The secant function is the reciprocal of the cosine function. The cosine function has a period of 2π, which means it repeats every 2π radians. Since the secant function is the reciprocal of the cosine function, it also has a period of 2π.

The period of the secant function, sec(x), is the same as the period of the cosine function because sec(x) is the reciprocal of the cosine function. The cosine function repeats its values every 2π radians. Since sec(x) = 1/cos(x), it too has a period of 2π radians. Therefore, the correct answer to the question is B) 2π.