Respuesta :

Three values of x that would result in y = cot x being undefined are  [tex]0,\pi ,2\pi[/tex]

Given :

y=cot(x)

we need to find where cot(x) is undefined

We know that [tex]cot(x)=\frac{cotx}{sinx}[/tex]

when the denominator is 0 then we can say cot(x) is undefined

Lets find out x values that makes sin(x) as 0

We know that sin(0)=0

[tex]sin(\pi )=0\\sin(2\pi )=0[/tex]

x values values that makes sin(x)=0 are [tex]0,\pi ,2\pi[/tex]

These x values makes the denominator of cot(x) as 0 and it is undefined

So , three values of x that would result in y = cot x being undefined are  [tex]0,\pi ,2\pi[/tex]

Learn more : brainly.ph/question/12155214