The function f(x)=cot x is discontinuous on the set:

Question

The function $f (x) = c o t x$ is discontinuous on the set:

Smart Achievers · Accepted Answer

(1)

Ans. ${x = n π : n \in Z}$

Explanation:

We know that, $f (x) = \cot x$ is continuous in $R - {n π : n \in Z}$

Since, $f (x) = \cot x = \frac{\cos x}{\sin x}$ $[Since, \sin x = 0 at n π, n \in Z]$

Hence, $f (x) = \cot x$ is discontinuous on the set ${x = n π : n \in Z}$

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