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Class 12 Continuity And Differentiability · Mcq Single Correct1 Markscontinuity_and_domain

Class 12 Maths · Continuity And Differentiability · Mcq Single Correct #3

Find the full set of real inputs excluded from the natural domain of cot x (its poles).

(A) {nπ:n∈Z}
(B) {2nπ:n∈Z}
(C) {(2n+1)π/2:n∈Z}
(D) {nπ/2:n∈Z}

✅ Step-by-Step Solution

Final Answer: Option (A): {nπ:n∈Z}

cot x=cos x/sin x is defined and continuous when sin x≠0. The excluded inputs are precisely x=nπ.

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