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


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

(a) $\{x: x=n \pi, n \in Z\}$

(b) $\{x: x=2 m \pi, n \in Z\}$

(C) $\left\{x: x=(2 n+1) \frac{\pi}{2}, n \in Z\right\}$


(d) $\left\{x: x=\frac{n \pi}{2}, n \in Z\right\}$


$f(x)=\cot x=\frac{\cos x}{\sin x}$

Now, $f(x)$ is discontinuous when $\sin x=0$.

$\sin x=0$

$\Rightarrow x=n \pi, n \in Z$

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

Hence, the correct answer is option (a).

Leave a comment


Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now