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Trigonometry - Reduction formulas

\(\beta\) \(sin \beta\) \(cos \beta\) \(tan \beta\) \(cot \beta\)
\(-\alpha\) \(-\,sin \, \alpha\) \(+ \,cos \, \alpha\) \(-\,tan \, \alpha\) \(-\,cot \, \alpha\)
\(90^0-\alpha\) \(+ \,cos \, \alpha\) \(+\,sin \, \alpha\) \(+\,cot \, \alpha\) \(+\,tan \, \alpha\)
\(90^0+\alpha\) \(+ \,cos \, \alpha\) \(-\,sin \, \alpha\) \(-\,cot \, \alpha\) \(-\,tan \, \alpha\)
\(180^0-\alpha\) \(+\,sin \, \alpha\) \(- \,cos \, \alpha\) \(+\,tan \, \alpha\) \(-\,cot \, \alpha\)
\(180^0+\alpha\) \(-\,sin \, \alpha\) \(- \,cos \, \alpha\) \(+\,tan \, \alpha\) \(+\,cot \, \alpha\)
\(270^0-\alpha\) \(- \,cos \, \alpha\) \(-\,sin \, \alpha\) \(+\,cot \, \alpha\) \(+\,tan \, \alpha\)
\(270^0+\alpha\) \(- \,cos \, \alpha\) \(+\,sin \, \alpha\) \(-\,cot \, \alpha\) \(-\,tan \, \alpha\)
\(360^0-\alpha\) \(-\,sin \, \alpha\) \(+ \,cos \, \alpha\) \(+\,tan \, \alpha\) \(-\,cot \, \alpha\)
\(360^0+\alpha\) \(+\,sin \, \alpha\) \(+ \,cos \, \alpha\) \(+\,tan \, \alpha\) \(+\,cot \, \alpha\)