cot x is not defined for_______ A. 0 B. nπ/2 C. (2n+1) π/2 D.

cot-x-is-not-defined-for-a-0-b-np-2-c-2n-1-p-2-d

cot x is not defined for_______

A. 0

B. nπ/2

C. (2n+1) π/2

D. nπ

I had been asked this question at a job interview.

My question is taken from Trigonometric Functions topic in section Trigonometric Functions of Mathematics – Class 11

The correct answer is D. nπ

The explanation is: We know, cot x is not defined when sin x = 0.

sin x = 0 whenever x is 0, π, 2π, 3π, …. i.e. all integral multiples of π

so, x=nπ.