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Compound angles formulas
11 formulas for Compound 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 + B) | sin A cos B + cos A sin B | |
| sin(A − B) | sin A cos B − cos A sin B | |
| cos(A + B) | cos A cos B − sin A sin B | |
| cos(A − B) | cos A cos B + sin A sin B | |
| tan(A + B) | (tan A + tan B) / (1 − tan A tan B) | |
| tan(A − B) | (tan A − tan B) / (1 + tan A tan B) | |
| cot(A + B) | (cot A cot B − 1) / (cot B + cot A) | |
| sin(A+B)·sin(A−B) | sin²A − sin²B = cos²B − cos²A | |
| cos(A+B)·cos(A−B) | cos²A − sin²B | |
| tan(A + B + C) | (ΣtanA − tanA tanB tanC) / (1 − Σ tanA tanB) | |
| tan(45° + θ) | (1 + tan θ) / (1 − tan θ) |
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