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]
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