Question

Choose the function in which whose graph is given below

Answer 1

Your answer would be c

Answer 2

The function which best describe the graph is:

C. y=csc x

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)

`y=\sec x`

when x=0

then

`y=\sec 0\\\\i.e.\\\\y=1`

Hence, option: B is incorrect.

So, we are left with option: C

i.e.

`y=\csc x`

when we plot the graph of this function we observe that it matches the given graph.

The correct answer is:

Option: C