Answer:
The function which best describe the graph is:
C. y=csc x
Step-by-step explanation:
By looking at the graph we observe that the graph repeats itself after every 2π i.e. the period of the function is 2π.
Also, we know that the function " tan x " and " cot x " have a period of π.
Hence, option: A and option: D is discarded.
Now by looking at the graph we observe that when x → 0 then the graph of the function tends to infinity
i.e. when x → 0 then y → ∞
B)
[tex]y=\sec x[/tex]
when x=0
then
[tex]y=\sec 0\\\\i.e.\\\\y=1[/tex]
Hence, option: B is incorrect.
So, we are left with option: C
i.e.
[tex]y=\csc x[/tex]
when we plot the graph of this function we observe that it matches the given graph.
The correct answer is:
Option: C
