Trigonometry
Advanced

Sum to Product: sin A + sin B

Sum-to-product identity.

Formula

sin⁡A+sin⁡B=2sin⁡A+B2cos⁡A−B2\sin A + \sin B = 2\sin\tfrac{A+B}{2}\cos\tfrac{A-B}{2}

Variables

A,BAngles

Did You Know?

Sum-to-product formulas turn adding waves into multiplying them, revealing interference patterns in physics.

sum to productidentity