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Product ↔ sum formulas formulas
8 formulas for Product ↔ sum formulas, 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 |
|---|---|---|
| 2 sin A cos B | sin(A + B) + sin(A − B) | |
| 2 cos A sin B | sin(A + B) − sin(A − B) | |
| 2 cos A cos B | cos(A + B) + cos(A − B) | |
| 2 sin A sin B | cos(A − B) − cos(A + B) | |
| sin C + sin D | 2 sin((C+D)/2) cos((C−D)/2) | |
| sin C − sin D | 2 cos((C+D)/2) sin((C−D)/2) | |
| cos C + cos D | 2 cos((C+D)/2) cos((C−D)/2) | |
| cos C − cos D | −2 sin((C+D)/2) sin((C−D)/2) |
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