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Series & hyperbolic (reference) formulas
6 formulas for Series & hyperbolic (reference), 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 x series | x − x³/3! + x⁵/5! − … | |
| cos x series | 1 − x²/2! + x⁴/4! − … | |
| tan x series | x + x³/3 + 2x⁵/15 + … | |x| < π/2 |
| Small angles | sin x ≈ x, tan x ≈ x, cos x ≈ 1 − x²/2 | x in radians |
| sinh x, cosh x | (eˣ − e⁻ˣ)/2, (eˣ + e⁻ˣ)/2 | |
| Hyperbolic identity | cosh²x − sinh²x = 1 |
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