\(\sin ( - \alpha ) = - \sin \alpha \);
\(\cos ( - \alpha ) = \cos \alpha \);
\(\tan ( - \alpha ) = - \tan \alpha \);
\(\cot ( - \alpha ) = - \cot \alpha \).
\(\sin (\alpha + \pi ) = - \sin \alpha \);
\(\cos (\alpha + \pi ) = - \cos \alpha \);
\(\tan (\alpha + \pi ) = \tan \alpha \);
\(\cot (\alpha + \pi ) = \cot \alpha \).
\(\sin (\pi - \alpha ) = \sin \alpha \);
\(\cos (\pi - \alpha ) = - \cos \alpha \);
\(\tan (\pi - \alpha ) = - \tan \alpha \);
\(\cot (\pi - \alpha ) = - \cot \alpha \).
\(\sin \left( {\frac{\pi }{2} - \alpha } \right) = \cos \alpha \);
\(\cos \left( {\frac{\pi }{2} - \alpha } \right) = \sin \alpha \);
\(\tan \left( {\frac{\pi }{2} - \alpha } \right) = \cot \alpha \);
\(\cot \left( {\frac{\pi }{2} - \alpha } \right) = \tan \alpha \).