Question

The table provides various values, including all zeroes, of a tangent function f(x) on the interval [-pi, pi]

What is the period of the function?
a) 4pi
b) 2pi
c) pi
d) pi/2

Answer 1

The period of the tangent function is given by:

b) 2pi

What is the period of a function?

It is the distance between the repetition of the function. If a function is defined on an interval and said to be periodic, the period is the length of the interval.

In this problem, the interval is $[-\pi, \pi]$, and after that the values will start repeating, hence the period is:

$p = \pi - (-\pi) = 2\pi$

Thus option b is correct, as the period is of $2\pi$.

You can learn more about period of a function at https://brainly.com/question/16818112