Trigonometry
Intermediate

Sine of a Difference

Angle subtraction formula for sine.

Formula

sin⁡(A−B)=sin⁡Acos⁡B−cos⁡Asin⁡B\sin(A-B) = \sin A\cos B - \cos A\sin B

Variables

A,BAngles

Did You Know?

The angle-difference formulas let astronomers compute star positions long before calculators existed.

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