Trigonometry
Advanced

Product: sin A cos B

Product-to-sum identity.

Formula

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

Variables

A,BAngles

Did You Know?

Product-to-sum formulas are the mathematical heart of how radios mix and tune signals.

product to sumidentity