Trigonometry Identities

Sum & Difference Formulas

Expand sin(A±B), cos(A±B), and tan(A±B) using the sum and difference identities. Enter two angles in degrees to see the full substitution and result with verification.

sin, cos, tan formulas
Full expansion steps
Direct verification
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Inputs
Formula
Angle A (degrees)
Angle B (degrees)
Quick examples
Result
Enter two angles and press Expand.
sin(A + B)
A = °
B = °
Step-by-Step Expansion
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Unit Circle — Angles A, B, and A±B
Sum & Difference Identities
sin(A±B) = sin A cos B ± cos A sin B cos(A+B) = cos A cos B − sin A sin B cos(A−B) = cos A cos B + sin A sin B tan(A±B) = (tan A ± tan B) / (1 ∓ tan A tan B)

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