Sine and Cosine of Sum

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Sine of Sum

$\map \sin {a + b} = \sin a \cos b + \cos a \sin b$


Corollary

$\map \sin {a - b} = \sin a \cos b - \cos a \sin b$


Cosine of Sum

$\map \cos {a + b} = \cos a \cos b - \sin a \sin b$


Corollary

$\map \cos {a - b} = \cos a \cos b + \sin a \sin b$