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Home › AP EAPCET (Engineering) › Mathematics › Trigonometry: Trigonometric Equations › Solve sin x = 1/2 over all reals.

Solve sin x = 1/2 over all reals.

Ax = 2nπ ± π/6, n ∈ Z
Bx = nπ + π/6, n ∈ Z
Cx = nπ + (−1)^n π/6, n ∈ Z
Dx = nπ ± π/3, n ∈ Z
Answer & Solution
Correct answer: C. x = nπ + (−1)^n π/6, n ∈ Z
Since sin π/6 = 1/2, use x = nπ + (−1)^n α with α = π/6.
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