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Standard angle values formulas
13 formulas for Standard angle values, 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 0°, 30°, 45°, 60°, 90° | 0, 1/2, 1/√2, √3/2, 1 | |
| cos 0°, 30°, 45°, 60°, 90° | 1, √3/2, 1/√2, 1/2, 0 | |
| tan 0°, 30°, 45°, 60°, 90° | 0, 1/√3, 1, √3, undefined | |
| sin 15° / cos 75° | (√6 − √2) / 4 | |
| cos 15° / sin 75° | (√6 + √2) / 4 | |
| tan 15° | 2 − √3 | |
| tan 75° | 2 + √3 | |
| sin 18° / cos 72° | (√5 − 1) / 4 | |
| cos 36° / sin 54° | (√5 + 1) / 4 | |
| sin 22.5° | ½ √(2 − √2) | |
| tan 22.5° | √2 − 1 | |
| sin 180°, 270°, 360° | 0, −1, 0 | |
| cos 180°, 270°, 360° | −1, 0, 1 |
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