Trigonometry
Advanced

Product: sin A sin B

Product-to-sum identity.

Formula

sin⁡Asin⁡B=12[cos⁡(A−B)−cos⁡(A+B)]\sin A\sin B = \tfrac{1}{2}[\cos(A-B) - \cos(A+B)]

Variables

A,BAngles

Did You Know?

Amplitude modulation, the AM in AM radio, is a direct application of multiplying two sine waves.

product to sumidentity