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Half angles formulas
6 formulas for Half angles, 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(A/2) | ±√((1 − cos A)/2) | |
| cos(A/2) | ±√((1 + cos A)/2) | |
| tan(A/2) | sin A / (1 + cos A) = (1 − cos A) / sin A | |
| 1 + cos A | 2cos²(A/2) | |
| 1 − cos A | 2sin²(A/2) | |
| t-substitution | t = tan(A/2): sin A = 2t/(1+t²), cos A = (1−t²)/(1+t²) |
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