Question

Name three values of x that would result in y = cot x being undefined.

Answer 1

Three values of x that would result in y = cot x being undefined are  $0,\pi ,2\pi$

Given :

y=cot(x)

we need to find where cot(x) is undefined

We know that $cot(x)=\frac{cotx}{sinx}$

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

$sin(\pi )=0\\sin(2\pi )=0$

x values values that makes sin(x)=0 are $0,\pi ,2\pi$

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  $0,\pi ,2\pi$

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