Question

Select the graph of y = CSC X.O A. +213112-1OB.

Answer 1

In trigonometry,

`\csc x\text{ =}(1)/(\sin x)`

So we can rewrite the question as

`y=(1)/(\sin x)`
`\begin{gathered} At\text{ x= 0,}\pi,2\pi \\ y=(1)/(\sin 0)=\infty\text{ (infinity or discontinuity)} \end{gathered}`
`y=\frac{1}{\sin \text{ }\pi}=\text{ }\infty`

The same results apply to

`2\pi`

At

`\begin{gathered} x=(\pi)/(2)\text{ and x=}(3\pi)/(2) \\ y=1\text{ and -1} \end{gathered}`

So from the above result, the best(correct) option that represents

`y=\csc x`

Is option D

Graph D is the right answer.