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General solutions formulas
8 formulas for General solutions, from the Trigonometry section of the Quantix formula library. Tap 🧮 next to a formula to solve it for any variable with step-by-step working.
| Name | Formula | Note |
|---|---|---|
| sin θ = 0 | θ = nπ | n ∈ ℤ |
| cos θ = 0 | θ = (2n + 1)π/2 | |
| tan θ = 0 | θ = nπ | |
| sin θ = sin α | θ = nπ + (−1)ⁿα | |
| cos θ = cos α | θ = 2nπ ± α | |
| tan θ = tan α | θ = nπ + α | |
| sin²θ = sin²α | θ = nπ ± α | same for cos², tan² |
| a cos θ + b sin θ | = √(a² + b²) cos(θ − φ), tan φ = b/a | max √(a²+b²), min −√(a²+b²) |
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