what is the period of the cosecant function graphed below?\n\\(\\frac{\\pi}{2}\\)\n\\(\\pi\\)\n\\(\\frac{3\\p…

what is the period of the cosecant function graphed below?\n\\(\\frac{\\pi}{2}\\)\n\\(\\pi\\)\n\\(\\frac{3\\pi}{2}\\)

what is the period of the cosecant function graphed below?\n\\(\\frac{\\pi}{2}\\)\n\\(\\pi\\)\n\\(\\frac{3\\pi}{2}\\)

Answer

Explanation:

Step1: Recall period - definition

The period of a periodic function is the horizontal distance between two consecutive repeating patterns.

Step2: Observe the graph

For the cosecant function (y = \csc(x)), we look at the x - values of corresponding points on consecutive "U - shaped" parts of the graph. We can see that from (x = 0) to (x=\pi), the graph starts to repeat its pattern.

Answer:

(\pi)