Angle Sum Identities

Identity Type Formula
Sine \[ \sin(x + y) = \sin x \cos y + \cos x \sin y \]
Cosine \[ \cos(x + y) = \cos x \cos y - \sin x \sin y \]
Tangent \[ \tan(x + y) = \frac{\tan x + \tan y}{1 - \tan x \tan y} \]