Question

What is the period of the cosecant function graphed below?

A) pi/2
B) pi
C) 3pi/2
D) 2pi

Answer 1

the period of a function is the length of it's repeating part
you can see a peak at pi and another at 2pi (and repeating for 3, 4...) so it is b) 1pi long

Answer 2

Answer: The answer is (B) pi.

Step-by-step explanation: The cosecant function is graphed in the given figure. we are to find the period of the function.

The period of a function is the distance travelled by the curve of the function in one complete revolution.

We can see that in the given figure, the distance between two consecutive points is given by

`p=\pi-0=2\pi-\pi=\pi.`

Therefore, the period of the cosecant function is
`\pi.`

Thus, the correct option is (B) \pi.