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Allied (associated) angles formulas
8 formulas for Allied (associated) 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 |
|---|---|---|
| 90° − θ | sin → cos, cos → sin, tan → cot | |
| 90° + θ | sin = cos θ, cos = −sin θ, tan = −cot θ | |
| 180° − θ | sin = sin θ, cos = −cos θ, tan = −tan θ | |
| 180° + θ | sin = −sin θ, cos = −cos θ, tan = tan θ | |
| 270° − θ | sin = −cos θ, cos = −sin θ, tan = cot θ | |
| 270° + θ | sin = −cos θ, cos = sin θ, tan = −cot θ | |
| 360° − θ | sin = −sin θ, cos = cos θ, tan = −tan θ | |
| Period | sin, cos: 2π; tan, cot: π |
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