Question

What is the period of the cosecant function graphed below?

a) π
b) 2π
c) π /2
d) 3π

Answer 1

The period of the cosecant function is 2π.

Step-by-step explanation:

The cosecant function is the reciprocal of the sine function. The period of the sine function is 2π, meaning it completes one full cycle every 2π units of input. Since the cosecant function is the reciprocal of the sine function, it will have the same period as the sine function, which is 2π. Therefore, the correct answer is b) 2π.