High School Trigonometry/Sum and Difference Identities for Sine, Cosine and Tangent

$\sin {(u\pm v)}=\sin {u}\cos {v}\pm \cos {u}\sin {v}$

$\cos {(u\pm v)}=\cos {u}\cos {v}\mp \sin {u}\sin {v}$

$\tan {(u\pm v)}={\frac {\tan {u}\pm \tan {v}}{1\mp \tan {u}\tan {v}}}$

This material was adapted from the original CK-12 book that can be found here. This work is licensed under the Creative Commons Attribution-Share Alike 3.0 United States License