Question

The table provides various values, including all zeros, of a tangent function f (x) on the interval [–π, π].


Angle –π negative 3 times pi over 4 negative 2 times pi over 3 negative pi over 2 0 pi over 4 pi over 2 2 times pi over 3 π
f (x) 0 Und. negative 4 times radical 3 0 0 Und. 0 4 times radical 3 0
What is the period of the function?
4π
2π
π
pi over 2

Answer 1

Answer:

π/2.

Step-by-step explanation:

The period of a function is the distance between two consecutive points on the graph of the function that have the same value. In other words, it is the length of one complete cycle of the function.

To determine the period of the given function, we need to find the distance between two consecutive points on the graph where the function has the same value.

Looking at the given angles in the question, we can see that the function repeats itself at the angles -π, -3π/4, -2π/3, -π/2, 0, π/4, π/2, 2π/3, and π.

We can see that the distance between two consecutive points where the function has the same value is π/2. This means that the function completes one full cycle every π/2 radians.