Principal and general solutions
Trigonometric equations and inverse functions · Mathematics
Study notes
Q: Solve sin x = 1/2 for (a) [0, 2π) (b) all real x. (a) Principal: x = π/6, 5π/6 (Q1 and Q2). (b) General: x = nπ + (-1)ⁿ(π/6), n ∈ ℤ.
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Trigonometric equations and inverse functions · Mathematics
Q: Solve sin x = 1/2 for (a) [0, 2π) (b) all real x. (a) Principal: x = π/6, 5π/6 (Q1 and Q2). (b) General: x = nπ + (-1)ⁿ(π/6), n ∈ ℤ.