The domain of cosec x is:

Correct option is A

​Solution:​

cosec x = 1 / sin x
Understanding the Domain:
- The cosecant function, cosec x, is defined only when sin x ≠ 0.
- The sine function, sin x, is zero at integer multiples of π (i.e., x = nπ, where n is an integer).
Finding the Domain:
- To ensure cosec x is defined, we exclude values of x where sin x = 0.
- Thus, x ≠ nπ for n ∈ ℤ, so the domain of cosec x is all real values except integer multiples of π.
Conclusion:
- The correct answer is (A) ℝ - { nπ | n ∈ ℤ }.