Maths

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Useful Formulas

Law of Cosines - <math>c^2 = a^2 + b^2 - 2ab\cos\gamma\,</math>

Angle Addition - <math> \cos({\theta+\phi}) = \real \left( \exp{\imath \theta} \exp{\imath \phi} \right) = \cos{\theta}\cos{\phi} - \sin{\theta}\sin{\phi} </math>

Trig Product - <math> 2 \cos{\theta}\cos{\phi} = \real \left( \exp{\imath \theta} \exp{\imath \phi} \right) - \real \left( \exp{\imath \theta} \exp{-\imath \phi} \right) = \cos({\theta+\phi}) + \cos({\theta-\phi}) </math>

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