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Home › AP EAPCET (Engineering) › Mathematics › Trigonometry: Trigonometric Equations › State the full solution set of cos x = −1/2.

State the full solution set of cos x = −1/2.

Ax = 2nπ ± π/3, n ∈ Z
Bx = nπ ± 2π/3, n ∈ Z
Cx = 2nπ ± 2π/3, n ∈ Z
Dx = nπ + (−1)^n 2π/3, n ∈ Z
Answer & Solution
Correct answer: C. x = 2nπ ± 2π/3, n ∈ Z
cos 2π/3 = −1/2, so x = 2nπ ± 2π/3.
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