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Chapter 4: Problem 5

State the period of each function. $$y=\sec x$$

Short Answer

Expert verified
The period of the function \(y=\sec x\) is \(2\pi\).

Step by step solution

01

Identify the function type

The given function is \(\sec x\), which is a reciprocal function of the cosine function i.e. \(\sec x = 1/\cos x\).
02

Determine the period of base function

The base function is a cosine function, which is known to have a period of \(2\pi\). Therefore, the function will repeat its values in intervals of \(2\pi\).
03

Determine the period of the given function

Since the secant function shares the same period with the cosine function, the period of the given function \(\sec x\) will also be \(2\pi\).

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