Angles: \(\alpha\), \(\beta\)

Trigonometric functions: \(\sin \alpha,\) \(\cos \alpha,\) \(\tan \alpha,\) \(\cot \alpha\)

- Sine addition formula

\(\sin \left( {\alpha + \beta } \right) =\) \( \sin \alpha \cos \beta \,+\) \( \cos \alpha \sin \beta \) - Sine subtraction formula

\(\sin \left( {\alpha – \beta } \right) =\) \( \sin \alpha \cos \beta \,-\) \( \cos \alpha \sin \beta \) - Cosine addition formula

\(\cos \left( {\alpha + \beta } \right) =\) \( \cos \alpha \cos \beta \,-\) \( \sin \alpha \sin \beta \) - Cosine subtraction formula

\(\cos \left( {\alpha – \beta } \right) =\) \( \cos \alpha \cos \beta \,+\) \( \sin \alpha \sin \beta \) - Tangent addition formula

\(\tan \left( {\alpha + \beta } \right) = \large\frac{{\tan \alpha + \tan \beta }}{{1 – \tan \alpha \tan \beta }}\normalsize\) - Tangent subtraction formula

\(\tan \left( {\alpha – \beta } \right) = \large\frac{{\tan \alpha – \tan \beta }}{{1 + \tan \alpha \tan \beta }}\normalsize\) - Cotangent addition formula

\(\cot \left( {\alpha + \beta } \right) = \large\frac{{1 – \tan \alpha \tan \beta }}{{\tan \alpha + \tan \beta }}\normalsize\) - Cotangent subtraction formula

\(\cot \left( {\alpha – \beta } \right) = \large\frac{{1 + \tan \alpha \tan \beta }}{{\tan \alpha – \tan \beta }}\normalsize\)