General solution: sin x = sin α (sin x = sin α ⟹ x = nπ + (−1)ⁿ α, n ∈ ℤ)
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sin x = sin α ⟹ x = nπ + (−1)ⁿ α, n ∈ ℤ
What each symbol means
| Symbol | What it stands for |
|---|---|
| n | Any integer |
| α | Reference angle |
When to use this
Covers all solutions. For sin x = 0: x = nπ. For sin x = 1: x = (4n+1)π/2.