# Reduction formulas for function values of 90, 180, 270, 360 deg

$$\begin{array}{|c|c|c|c|c|} \hline {\alpha} & \sin\alpha & \cos\alpha & \tan\alpha & \cot\alpha \\\hline {\frac{\pi}{2}-x} & +\cos\alpha & +\sin\alpha & +\cot\alpha & +\tan\alpha \\\hline {\frac{\pi}{2}+x} & +\cos\alpha & -\sin\alpha & -\cot\alpha & -\tan\alpha \\\hline {\pi-x} & +\sin\alpha & -\cos\alpha & -\tan\alpha & -\cot\alpha \\\hline {\pi+x} & -\sin\alpha & -\cos\alpha & +\tan\alpha & +\cot\alpha \\\hline {\frac{3\pi}{2}-x} & -\cos\alpha & -\sin\alpha & +\cot\alpha & +\tan\alpha \\\hline {\frac{3\pi}{2}+x} & -\cos\alpha & +\sin\alpha & -\cot\alpha & -\tan\alpha \\\hline {2\pi-x} & -\sin\alpha & +\cos\alpha & -\tan\alpha & -\cot\alpha \\\hline \end{array}$$

Last time edited 2019-01-20

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