Question

Which function has a period of pi

Answer 1

Answer
The functions that actually have period pi is:
A. y = sec ×

Let's understand what the period of a function is all about.

What is period of a function?
Period of a function is known to be the distance that exists between the repetition of any function. In trigonometry, the length of a complete cycle is known as a period.

So, we can see that the functions that actually have period pi is y = sec x.

Answer 2

B. y = tan(x)

Explanation:

You want the trig function that has a period of pi.

Period

The period of a function f(x) is the value of h such that f(x) = f(x -h) for all values of x. That is, shifting the graph right (or left) by h units will map the graph to itself.

Trig functions

The trig functions sin(x) and cos(x), and their reciprocals csc(x) and sec(x) have periods of 2π. (Eliminates choices A, C, D.)

The tangent function has a period of π, matching choice B.

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