Answer: θ = nπ + (-1)ⁿ π/6.
- A θ = 30°
- B θ = nπ + (-1)ⁿ π/6
- C θ = 30° + 360°n
- D θ = π/6 only
Correct answer: B. θ = nπ + (-1)ⁿ π/6
Explanation: General solution: θ = nπ + (-1)ⁿ α, where sin α = 1/2, α = π/6.
Unit circle with standard angles 0, 30, 45, 60, 90 degrees; at 45 degrees the point is (cos45, sin45) = (1/sqrt2, 1/sqrt2).
Concept context
Ratios, identities, and applications in triangles