For what numbers x, -2π ≤ x ≤ 2π, does the graph of y = csc(x) have vertical asymptotes?

For what numbers x, -2π ≤ x ≤ 2π, does the graph of y = cot(x) have vertical asymptotes? ...?

Respuesta :

Answer:

coincides with

Step-by-step explanation:

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Vertical asymptotes at   x = {-2π, -π, 0, π, 2π}

Given:  [tex]y=csc(x)[/tex]

To find : For what values of x , it has vertical asymptotes.

Explanation:

A given function will have vertical asymptotes when its denominator becomes equal to zero.

We know that,    [tex]csc(x)=\frac{1}{sin x}[/tex]

So,  [tex]Sin(x)=0[/tex]  will give vertical asymptotes

       x = {-2π, -π, 0, π, 2π}

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