The general solution of sin x = 0 is:
Ax = nπ, n ∈ Z
Bx = (2n + 1)π/2, n ∈ Z
Cx = nπ/2, n ∈ Z
Dx = 2nπ, n ∈ Z
Answer & Solution
Correct answer: A. x = nπ, n ∈ Z
1. sin x = 0 at x = 0, ±π, ±2π, ±3π, ...
2. So x = nπ where n is any integer.
3. Distractor (B) is the general solution of cos x = 0.
_Source: NCERT Class 11 Maths Ch 3 §3.5 General Solutions_
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