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Multiple angles formulas
10 formulas for Multiple 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 2A | 2 sin A cos A = 2 tan A / (1 + tan²A) | |
| cos 2A | cos²A − sin²A = 2cos²A − 1 = 1 − 2sin²A | |
| cos 2A (tan form) | (1 − tan²A) / (1 + tan²A) | |
| tan 2A | 2 tan A / (1 − tan²A) | |
| sin 3A | 3 sin A − 4 sin³A | |
| cos 3A | 4 cos³A − 3 cos A | |
| tan 3A | (3 tan A − tan³A) / (1 − 3 tan²A) | |
| Power reduction | sin²A = (1 − cos 2A)/2; cos²A = (1 + cos 2A)/2 | |
| sin A sin(60°−A) sin(60°+A) | ¼ sin 3A | |
| cos A cos(60°−A) cos(60°+A) | ¼ cos 3A |
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